Answered: Here are summary statistics of the four…

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

Here are summary statistics of the four last digits of social security number of 500 customers, corresponding to the following histogram.

Is the mean or median a "better" summary of the center of the distribution?

choose the best answer for the question above:

a. Neither, because these are not quantitative data.

b. Median, because of the outliers.

c. Mean, because the distribution is quite symmetric.

D. Median, because the IQR is smaller than the standard deviation.

e. Neither, because these are not categorical data.

80-
Count
500
Mean
4931
60-
StdDev
1580
Median
IQR
Q1
Q3
5009
2009
4044
6053
40-
20-
1500
4000
6500
9000
Four Last Digits of Social Security Number
#of Customers

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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