Suppose I had a sample of five individuals and have information on the number of years of education that each person and their mother have as follows: Individual’s Mom’s Name Education (yrs) Education (yrs) Chip 16 13 Jose 19 17 Buffy 14 15 James 5 11 Chrystal 16 12 (a) Find the sample mean for Individual’s Education. (b) Find the sample median for Individual’s Education. (c) Find the sample mode for Individual’s Education. (d) Why does the sample mean differ as much as it does from the sample median? (e) Find the sample standard deviation for Individual’s Education. (Please round your final answer to 2 decimal places.)

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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Suppose I had a sample of five individuals and have information on the number of years of education that each person and their mother have as follows:

Individual’s Mom’s

Name Education (yrs) Education (yrs)

Chip 16 13

Jose 19 17

Buffy 14 15

James 5 11

Chrystal 16 12

(a) Find the sample mean for Individual’s Education.

(b) Find the sample median for Individual’s Education.

(c) Find the sample mode for Individual’s Education.

(d) Why does the sample mean differ as much as it does from the sample median?

(e) Find the sample standard deviation for Individual’s Education. (Please round your final answer to 2 decimal places.)

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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