Under what condition is the median a better measure of location than the mean? When the underlying data distribution is normally distributedWhen the sample size is greater than 30When the sample size is less than 30When the underlying data distribution has an observation with a z score of 5.50When the standard deviation is the better measure of variability

Answered: Under what condition is the median a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Under what condition is the median a better measure of location than the mean?

When the underlying data distribution is normally distributed
When the sample size is greater than 30
When the sample size is less than 30
When the underlying data distribution has an observation with a z score of 5.50
When the standard deviation is the better measure of variability

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.

Expert Solution

Step 1: Write the given information and define Mean and Median

To, answer the condition when the median is better than the mean.

Mean - It is a type of central tendency, that calculates the average of observations and is evaluated by ratio of the sum of the observations to the number of observations.

Median - It is another type of central tendency, that calculates the central value in the stored list of values.