Problem Set 3: Measures of Central Location (Mean, Median & Percentiles) Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Perform the following computations WITH and WITHOUT using the Excel commands. Compute the 20th, 25th, 65th, and 75th percentiles.Compute, the mean and the medianA revision of the dataset suggests that instead of the value 34 the accurate value is 74. How will this revision affect the mean and the median? What is the more accurate measure of central location in this case? Why?

Name: Problem Set 3: Measures of Central Location (Mean, Median & Percentile
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Description: Problem Set 3: Measures of Central Location (Mean, Median & Percentiles) Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Perform the following computations WITH and WITHOUT using the Excel commands. Compute the 20th, 25th, 6

The given data values are 27, 25, 20, 15, 30, 34, 28, and 25.

Answered: Problem Set 3: Measures of Central…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Problem Set 3: Measures of Central Location (Mean, Median & Percentiles)

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Perform the following computations WITH and WITHOUT using the Excel commands.

Compute the 20th, 25th, 65th, and 75th percentiles.
Compute, the mean and the median
A revision of the dataset suggests that instead of the value 34 the accurate value is 74. How will this revision affect the mean and the median? What is the more accurate measure of central location in this case? Why?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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