does the mean represent the center of the data?

The regression equation is y= .078 + .06 x where GNP is measured in billions of dollars. The mean represents the center. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. The number of credits being taken by a sample of 13 full-time college students are listed below. The midpoint is, \[\dfrac{\text{lower boundary+upper boundary}}{2}.\], We can now modify the mean definition to be, \[\text{Mean of Frequency Table} = \dfrac{\sum{fm}}{\sum{f}}\]. b. places.) O C. The median cannot be calculated because there is an even number of data entries. D. The median does not represent the center because it is the smallest data value. A company has recorded annual sales for the past 14 years and found the following linear trend model: y = 5.23 + 144.60t. Cat has a master's degree in education and is currently working on her Ph.D. Elizabeth is working on a science project. When each value in the data set is not unique, the mean can be calculated by multiplying each distinct value by its frequency and then dividing the sum by the total number of data values. O D. The mean does not represent the center because it is the least data entry. The following data show the lengths of boats moored in a marina. If any measure cannot be found or does not represent the center of the data, explain why. The mean is Choose the correct answer below. We wish to analyze how tire pressure impacts the lifetime of the tires (miles driven). The model is shown below. From this chart you can see that our data set is 6, 7, 8, 8, 6, 0 and 7. In this particular example, the mean salary is $47,000 while the median salary is $32,000. . Mean, Median & Mode: Measures of Central Tendency, Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, What is the Center in a Data Set? To unlock this lesson you must be a Study.com Member. Find the mode. In their data, the lowest family income r, The following data represent the number of minutes customers at Wendy's had to wait in the drive-through line before their order was taken. It is frequently called the "average." Example 1: Calculating the Median of a Skewed Distribution. Mean: $16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40 = 738$; The most frequent lengths are 25 and 27, which occur three times. |Daily Demand (y)| Unit Price (x) |47| 1 |39| 3 |35| 5 |44| 3 |34| 6 |20| 8 |15| 16 |30| 6 a) What is the median of the sample data co. Find the range of the following data set that represents the incomes (in thousand of dollars) of 20 employees at an engineer firm: 50, 48, 46, 59, 44, 43, 35, 59, 48, 53, 46, 59, 52, 48, 51, 59, 53, 51, 53, 52. There are two modes c. There are three modes, Find the mode(s) for the given sample data. A study of external disk drives finds the data in the accompanying table. Bar graph. c. An economist is interested to see how consumption for an economy (in $ billions) is influenced by gross domestic product ($ billions) and aggregate price (consumer price index). \[\bar{x} = \dfrac{5,000,000+49(30,000)}{50} = 129,400\], (There are 49 people who earn $30,000 and one person who earns $5,000,000.). O B. The mean and the median can be calculated to help you find the "center" of a data set. One of the biggest factors in determining the value of a home is the square footage. Choose the correct answer below. Fit a curve for linear, power, and exponential distributions to show sales corresponding with years. From production records, the data in the table below were collected. O C. The mode(s) does(do) not represent the center because it(they) is(are) the greatest data entry(ies). The Earth energy imbalance is the most fundamental global climate indicator that the scientific . (from January 2015 through December 2016 ). Get started with our course today. The linear regression model was applied to a monthly time series data based on the last 24 months' sales. Justify your answers. If any measure cannot be found or does not represent the center of the data, explain why. 173.236.168.104 All other trademarks and copyrights are the property of their respective owners. 483 0 obj <>/Filter/FlateDecode/ID[<6E3A3FE719738C4B81154116112F8474>]/Index[460 48]/Info 459 0 R/Length 105/Prev 101457/Root 461 0 R/Size 508/Type/XRef/W[1 2 1]>>stream The two most widely used measures of the "center" of the data are the mean (average) and the median. Use the sales data given below to determine (a) the least squares trend line, (b) the predicted value for 2002 sales. Five real estate exam scores are 430, 430, 480, 480, 495. The median represents the center.B.) Does the mode represents the center data? Statistical Questions | Statistical vs. Non-Statistical Questions Examples. All rights reserved. The location of the median and the value of the median are not the same. lessons in math, English, science, history, and more. This process is called, A study of external disk drives finds the data in the accompanying table. The data in the table below shows the number of attendees at Husker Water Park. Mode = 25, 27. Calculate the following: Javier and Ercilia are supervisors at a shopping mall. 1. Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. There can be more than one mode in a data set as long as those values have the same frequency and that frequency is the highest. b. The observations a, Find the data set's interquartile range: The data set represent the fuel economies (in highway miles per gallon) of several Harley motorcycles. Press 2nd 1 for L1 and then ENTER. The durations (in minutes) of power failures at a residence in the last 4 years are listed below. The mode is the most frequent value. A. Messages arrive at a switching center in accordance with a Poisson process having mean arrival rate of 180 messages/hr. Lurking Variable Concept & Examples | What is a Lurking Variable? If any of these measures cannot be found or a measure does not represent the center of the data, explain why. e. The data set does not have a median. AIDS data indicating the number of months a patient with AIDS lives after taking a new antibody drug are as follows (smallest to largest): 3; 4; 8; 8; 10; 11; 12; 13; 14; 15; 15; 16; 16; 17; 17; 18; 21; 22; 22; 24; 24; 25; 26; 26; 27; 27; 29; 29; 31; 32; 33; 33; 34; 34; 35; 37; 40; 44; 44; 47, \[\bar{x} = \dfrac{[3+4+(8)(2)+10+11+12+13+14+(15)(2)+(16)(2)++35+37+40+(44)(2)+47]}{40} = 23.6\], \[\dfrac{n+1}{2} = \dfrac{40+1}{2} = 20.5\]. For example, suppose we have a dataset that contains the selling price of 10,000 different homes in a certain city. A company operates four machines during three shifts each day. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. For example, if the median $ value of the investment 50 thousands, Row 1 will be labeled ?investment under ? 2K views, 27 likes, 7 loves, 18 comments, 0 shares, Facebook Watch Videos from Dbstvstlucia: DBS MORNING SHOW & OBITUARIES 25TH APRIL 2023 APRIL 2023 No. Choose the correct answer below. Find the mode (s). Find the mode(s). Y. when . The most frequent number of books is 7, which occurs four times. Does(Do) the mode(s) represent a typical entry of the data? A frequency table displaying professor Blounts last statistic test is shown. The median is important because it gives us an idea of where the center value is located in a dataset. Either $280,000 or $315,000 gives us a better sense of the middle of the data. Use the format as an example when submitting your equatio, Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis, Missouri is 9.7. Half of the rest are worth $280,000, and all the others are worth $315,000. We can see that the median does a better job of capturing the typical square footage of a house on this street compared to the mean because it isnt influenced by the extreme outlier values. The median occurs midway between the 50th and 51st values. The accompanying data represents the square footage and selling price for the region. Assume th, The following data represent the highway fuel consumption ( in miles per gallon) for a sample of cars. The median does not represent the center because it is the smallest data value.C.) Enter 2nd 1 for list L1. When analyzing datasets, were often interested in understanding where the center value is located. This also gives us an idea of the typical selling price of homes in this city. You can do this by using either the mean or the median. As part of her study, she compiled the following data: What is the best estimate for the mean number of hours spent playing video games? The mode(s) does(do) not represent the center because it(they) is(are) the least data entry(ies). The median cannot be calculated because the data are at the nominal level of measurement. Given a trend line of y = 5832x + 135799, where the variable x represents the age of a home (in years) and the variable y represents its current market value (in dollars), use this trend line to predict the current market value of an 9 year old home. The data are ordered from smallest to largest. Find the mode for this data set. The mean represents the center of the data set. The data set is bimodal because the scores 430 and 480 each occur twice. $ 53.25(1) + 59.5(0) + 65.5(4 )+ 71.5(4) + 77.5(2) + 83.5(3) + 89.5(4) + 95.5(1) = 1460.25$, $\mu = \dfrac{\sum{fm}}{\sum{f}} = \dfrac{1460.25}{19} = 76.86$, Data from The World Bank, available online at, Demographics: Obesity adult prevalence rate. Indexmundi. Each data point for each variable represents. The results of the random sample are shown in the foll, Bauer et al (2011) identified the median income of a middle-class family in their sample to be $84,200 annually; the mean family income was $85,300 annually. a. Learn more about us. Computer data: |Year |Sales |1 |69 |2 |159 |3 |258 |4 |389 |5 |546 |6 |890 |7 |2014 |8 |2873. O B. Use the method of least squares to compute an estimated regression line betwee, The data below represent the total number of customers in a store and the waiting times at the checkout (in minutes). A shoe company reports the mode for the shoe sizes of men's sho, A graph consists of a collection of nodes (the dots in the figure) connected by edges (line segments from one node to another). Consider the following chart that shows the square footage of houses on a certain street: The mean is heavily influenced by a couple extremely large houses, while the median is not. You might notice that we have several numbers that are close together and one number that is a bit off. where $f$ is the frequency of the interval and $m $ is the midpoint of the interval. To help make a decision they look at the number of pedestrians that go by each of the two locations in one-hour segments. In the real world, people make these calculations using software. Cloudflare Ray ID: 7c0aa3e158eb2076 Required fields are marked *. The ideal gas law is easy to remember and apply in solving problems, as long as you get the proper values aThe words mean and average are often used interchangeably. or ?investment equal to 50 thous, Fitting a linear trend to 36 monthly data points January 2000 1, February 2000 2, March 2000 3, etc. The data set is bimodal because the scores 680 and 720 each occur twice. A. D. The median does not represent the center because it is not a data value. To see that both ways of calculating the mean are the same, consider the sample: \[\bar{x} = \dfrac{1+1+1+2+2+3+4+4+4+4+4}{11} = 2.7\]. 460 0 obj <> endobj The following data show the measured values for various days. copyright 2003-2023 Homework.Study.com. Ways to Describe Data Distribution | Center, Shape & Spread. One of the data points is for a city with 1 mill. How do you know? What would be the forecasted attendance with a forecasted temperature of 88 degre. We simply need to modify the definition to fit within the restrictions of a frequency table. O C. The mode cannot be calculated because each data entry occurs exactly once. Counterexample in Math | What is a Counterexample? The number o, The data below contains the data on the price for two tickets, with online service charges, large popcorn, and two medium soft drinks at a sample of six theater chains: $36.15 $31.00 $35.05 $40.25 $33.75 $43.00 Around what value, if any, are the movie pri. This indicates that sales are increasing at an exponential annual rate (percent). a. Using the multiplicative seasonal method, calculate the monthly seasonal indices.? succeed. The credit scores of 13 students are given by; Our experts can answer your tough homework and study questions. quite in the center of the data, but its derivation is completely different. 22. If 12% of the time, the wind spee. Its like a teacher waved a magic wand and did the work for me. For example, if the data set is: red, red, red, green, green, yellow, purple, black, blue, the mode is red. However, in practice among non-statisticians, average" is commonly accepted for arithmetic mean.. Unit sales for a new product ABC have varied in the first seven months of this year as follows: |Month |Jan |Feb |Mar |Apr |May |Jun |Jul |Unit Sales|432| 168| 192| 417| 168| 386| 410 What is the mode of the data? Use the following information to answer the next three exercises: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. (b) Predict the cost of a flight that travels a dist, Estimate the p-value. Graphing Data Sets | What is Symmetric Distribution? b. on average, sales are increasing by 144.60 per year. How can you determine which survey was correct ? [22, 18, 19, 21, 18, 19, 18, 17, 20, 20, 18, 17, 20, 19, 20, 18, 17, 18, 1, Suppose the sales (1000s of $) of a fast food restaurant are a linear function of the number of competing outlets within a 5 mile radius and the population (1000s of people) within a 1 mile radius. A check-processing center uses exponential smoothing to forecast the number of incoming checks each mouth. The center of a data set is represented by the typical value that represents the data set. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? A frequency table is a data representation in which grouped data is displayed along with the corresponding frequencies. The mode will tell you the most frequently occuring datum (or data) in your data set. Spread Statistics Measures & Examples | What are Spread Statistics? The median does not represent the center because it is the largest data value.Pay someone to do your homework, quizzes, exams, tests, assignments and full class at:https://paysomeonetodo.com/ Each was given the task of estimating the mean distance that shoppers live from the mall. Find the mode(s). The mode (s) does (do) represent a typical entry of the data set. The mall has a set of data with employee age (x) and the corresponding number of annual on-the-job-accidents (y). 1 0345 If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The mode might indicate that most people lose two pounds the first week, making the program less appealing. A computer systems retailer wishes to compare the average monthly sales of its servers with Intel and AMD multi-core processors. Which is the better measure of the "center": the mean or the median? Create a histogram of the given data. To find the median weight of the 50 people, order the data and find the number that splits the data into two equal parts. The mean is the most common measure of the center. The label for Row 1 will be values at or below the median. Choose the correct answer below. Analysis of the set finds that the regression equation is y = 100 - 3x. When to Use Mean vs. The mean does not represent the center because it is the greatest data entry. 4 c, The following data represent the daily demand (y in thousands of units) and the unit price (x in dollars) for a product. |40 |35 |31 |22 |32 |46 |37 |35 |24 |26 |32 |33 |45 |30 |25 |26 |44 |36 |22 |27 |25 |45 |38 |37 |44 |45 |41 |46 |39 |26. An outlier is a value that is much larger or smaller than the other values in a data set, or a value that lies outside the given data set. x (centered . What are the measures of central tendency? Does the mean represent the center of the data? Starting at the smallest value, the median is located between the 20th and 21st values (the two 24s): Clear list L1. The data were collected during time periods where there were a given number of checkout counters open. Model Number Price A 8 $10,000 B 10 $12,000 C 12 $8,000, The CEO of a company wishes to interview 15 employees from within his company to analyze worker morale, so he picks 15 random numbers and uses them to select employees from a company directory that lists each worker. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Statology is a site that makes learning statistics easy by explaining topics in simple and straightforward ways. This website is using a security service to protect itself from online attacks. | 9 To calculate the mean weight of 50 50 people, add the 50 50 weights together and divide by 50 50. There is no mode b. To do so, they record the number of sales of each server type for each of the last 12 months: Month Int, The following data represent a company's yearly sales volume and its advertising expenditure over a period of 8 years. D. The median does not represent the center because it is not a data value. Find the mode of the ages. Find the intercept of the regression line. If $n$ is an even number, the median is equal to the two middle values added together and divided by two after the data has been ordered. Find the population regression line. Determine the adjusted seasonal indices. Show Answer Create an account. Does(Do) the mode(s) represent a typical entry of the data? The most frequent score is 72, which occurs five times. The mode is the most frequent value. Find the median. Your IP: Find the mode. The Microsoft Excel output of this regression is partially reproduced below. b. Develop a linear regression to for the number of attendees based on the forecast temperature. Choose the correct answer below. Find the mean, median, and mode of the data, if possible. The median does not represent the center because it is not a data entry.c. The sample mean $\bar{x}$ is an example of a statistic which estimates the population mean $\mu$. Month Average Seasonal Index January 0.678 February 0.719 Ma, A shot is fired at a circular target. Real Life Examples: Using Mean, Median, & Mode Example 2: Calculating the Median When Outliers Are Present. The least squares line is Price= 24.93 + 0.094 Capacity (GB) with se = 10.52 and SE(b1) = 0.0030, where the values are rounded, A population data set produced the following information. Divide the sum of these values by the total number of data values in the set. This website is using a security service to protect itself from online attacks. The m, The control limits for a c-chart are: Upper Control Limit = 5.82 Center Line = 1.8 Lower Control Limit = -2.22, or 0.00 Determine the number of samples used to construct this chart. It also gives us an idea of the typical value in a given dataset. The least squares line is Price = 21.51 +0.092 Capacity(GB) with s_c=9.12 and SE(b_1) = 0.0025, where the values are rounded t. AT&T earnings in billions of dollars are estimated using GNP (gross national product). One of the requirements for the sample mean to be a good estimate of the population mean is for the sample taken to be truly random. The mean can be used to get an overall idea or big picture of the data set. Find the mean, median, and mode of the data, if possible. Find the linear regression, For an online auction, the following table presents the prices of a group of items (x) and the number of people participating in the auction (y). 0.778 B. The mean is the sum of the numbers in a data set divided by the total number of values in the data set. A move on a graph is a move from one node to another along a single edge, Determine the coordinates of the points on the logarithmic straight line for 1997 and 2006. Choose the correct answer below. Data are collected, and the fitted line is y-hat = 12.3 + 1498.5 x. The substitution of one word for the other is common practice. O D. The median cannot be calculated because the sample size is too small. E. There is no mean age. E. There is no median age. X) is zero represents the expected value of . Statistical software will easily calculate the mean, the median, and the mode. The responses in (thousand dihrams) are 10 15 1 15 28 30 33 32 10 1 40 Determine the following a. Mode, The best fitting line minimizes the vertical distances from the points to the line. The median represents the center of the data set. O B. endstream endobj 461 0 obj <. (Enter your responses rounded to three decimal? Find the mean, the median, and the mode of The two most widely used measures of the "center" of the data are the mean (average) and the median. Find the mean, median, and mode of the data, if possible. The data below are the colors of cars that came through the Starbuck's drive-thru between 9AM and 10AM on a particular day. Mean, median, and mode are different measures of center in a numerical data set. Key: 3 | 0 = 30 What conclusions can be reached concerning the miles per gallon of mid-sized sedans? Real Life Examples: Using Mean, Median, & Mode, When to Use Mean vs. This page titled 2.6: Measures of the Center of the Data is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. They are then sent over a transmission line at the rate of 12 characters per sec, A study of external disk drives finds the following: Capacity (TB) Price (dollars) 0.15 35 0.25 39.95 0.32 49.95 1 75 2 110 3 140 4 325 Mean 1.53 110.7 SD 1.51 102.05 The least squares line was fo, The table shows the distance and costs of flights for a given airline with the same starting destination and different ending destinations. Equivalent Ratios & Examples | What are Equivalent Ratios? The Law of Large Numbers says that if you take samples of larger and larger size from any population, then the mean $\bar{x}$ of the sample is very likely to get closer and closer to $\mu$. There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data. {eq}5 \quad 5 \quad8 \quad8 \quad5 \quad4 \quad4 \quad4 \quad6 \quad4 \quad4 \quad4 \quad7 Th, The following data represent the concentration of organic carbon (mg/L) collected from organic soil. The next example illustrates the location of the median and the value of the median. C. The median does not represent the center because it is not a data value. In a sample of 60 households, one house is worth $2,500,000. Please include what you were doing when this page came up and the Cloudflare Ray ID found at the bottom of this page. The mean does not represent the center because it is not a data entry. The median does not represent the center because it is the largest data value. The following table shows the average petrol price and the number of online shopping orders over a given month: Petrol Price and Online Shopping Average Petrol Price per gallon over a month ($) Number of Online Shopping Orders 4.1525 3,752 2.855 3,289 1. An error occurred trying to load this video. O D. The mode cannot be calculated because the sample size is too small. Suppose thirty randomly selected students were asked the number of movies they watched the previous week. This means the large salaries on the right side of the distribution pull the mean away from the center of the distribution. Select the correct choice below, Consider the following table containing the data on the rate of fatal alcohol-impaired car crashes per 100 million vehicle miles of travel. The median is the middle value when a data set is ordered from least to greatest. However, the mean can be approximated if you add the lower boundary with the upper boundary and divide by two to find the midpoint of each interval. Based on the data shown below, calculate the regression line (each value to two decimal places). 0 79 Five credit scores are 680, 680, 700, 720, 720. A sm, The sales of a local grocery chain, since 2008 are: Round your answer to 1 decimal place. D. The median does not represent the center because it is the largest data value. Your email address will not be published. O A. |Speed |Mileage |53 |27 |55 |29 |59 |25 |62|24 |65|26, The data below represents the overall miles per gallon? Mean: The "average" number; found by adding all data points and dividing by the number of data points. I feel like its a lifeline. Find the best estimate of the class mean. Find the mode. Find and interpret a 95% confidence interval for the gas mileage of 2010 vehicles. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. The "center" of a data set is also a way of describing location. X. is at . The median is $50,000 and the mean is $47,500. Become a Study.com member to unlock this answer! 0, One of the biggest factors in determining the value of a home is the square footage. New data released by Ipsos this morning has shown that around 55% of Britons expect the Tories to lose seats on Thursday, with 45% expecting Labour to pick up support. Find the median. Access to over 100 million course-specific study resources, 24/7 help from Expert Tutors on 140+ subjects, Full access to over 1 million Textbook Solutions. Get unlimited access to over 88,000 lessons. Percentiles Explanation & Examples | How to Find Percentile of a Data Set, Partitioning a Line Segment | Formula, Ratio & Slope, Triangular Prism Examples | Edges, Faces and Vertices of a Triangular Prism, Maximums, Minimums & Outliers in a Data Set, Response Variable | Explanatory & Response Variable Statistics, Coordinate Plane Quadrants | Quadrants & Example of a Numbered Coordinate Plane, What is Extrapolation in Statistics | How to Extrapolate. The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. The median is much more representative of the typical salary in this city. |x| y |2| 34.7 |3| 30. After trying the bleach on each stain five times, Elizabeth records how many times the bleach removes the stain completely. C. The median does not represent the center because it is not a data value. The vertical and horizontal coordinates of the point of impact (taking the center of the target as origin) are independent RVs, each distributed N (0, 1). Based on this information, what is the forecast for period 13? The median is an important metric to calculate because it gives us an idea of where the center of a dataset is located. The median does not represent the center because it is the smallest data value. Which, if any, of the following statements could be correct? The samples yielded the following information. Find the mode. Suppose the analyst constructs an R chart to see if the variability in production times is in-control. 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"source@https://openstax.org/details/books/introductory-statistics" ], https://stats.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fstats.libretexts.org%2FBookshelves%2FIntroductory_Statistics%2FBook%253A_Introductory_Statistics_(OpenStax)%2F02%253A_Descriptive_Statistics%2F2.06%253A_Measures_of_the_Center_of_the_Data, $ \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}$ $ \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} $$\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$ $\newcommand{\id}{\mathrm{id}}$ $ \newcommand{\Span}{\mathrm{span}}$ $ \newcommand{\kernel}{\mathrm{null}\,}$ $ \newcommand{\range}{\mathrm{range}\,}$ $ \newcommand{\RealPart}{\mathrm{Re}}$ $ \newcommand{\ImaginaryPart}{\mathrm{Im}}$ $ \newcommand{\Argument}{\mathrm{Arg}}$ $ \newcommand{\norm}[1]{\| #1 \|}$ $ \newcommand{\inner}[2]{\langle #1, #2 \rangle}$ $ \newcommand{\Span}{\mathrm{span}}$$\newcommand{\AA}{\unicode[.8,0]{x212B}}$, \[\bar{x} = \dfrac{3(1) + 2(2) + 1(3) + 5(4)}{11} = 2.7\], 2.7: Skewness and the Mean, Median, and Mode, Sampling Distributions and Statistic of a Sampling Distribution, Calculating the Mean of Grouped Frequency Tables, http://www.indexmundi.com/g/r.aspx?t=50&v=2228&l=en, source@https://openstax.org/details/books/introductory-statistics, Calculate the sum of the product of each interval frequency and midpoint.
Jaelee Small Father, Articles D

does the mean represent the center of the data? 2023