Answered: Examine the frequency distribution…

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

Examine the frequency distribution pasted below for the variable "Ideal Number of Children," taken from the 2002 GSS data. a. What percentage of respondents reported that their ideal was to have exactly 4 children?

b. What percentage of respondents reported that their ideal was having 3 children or less?

c. What is the median value for the variable “ideal number of children”?

Ideal # of
Frequency
Percent
Cumulative
Children
Percent
1.2
6
1.2
1
21
4.2
5.4
2
3
251
121
50.5
24.3
55.9
80.3
4
49
9.9
90.1
1.4
.2
91.5
91.8
7
1
41
8.2
100
As many as
want
Total
497
100.0

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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