Answered: What percentage of the general U.S.…

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

What percentage of the general U.S. population have bachelor's degrees? The Statistical Abstract of the United States, 120th Edition, gives the percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order.

17 18 18 18 19 20 20 20 21 21
21 21 22 22 22 22 22 22 23 23
24 24 24 24 24 24 24 24 25 26
26 26 26 26 26 27 27 27 27 27
28 28 29 31 31 32 32 34 35 38

(a) Select the box-and-whisker plot. (look at screenshot)

(b) Find the interquartile range.

(c) Illinois has a bachelor's degree percentage rate of about 26%. Into what quarter does this rate fall? (Select one of the answers below).

A. below Q₁

B. between Q₁ and the median

C. between the median and Q₃

D. above Q₃

(a) Select the box-and-whisker plot.
b
a
HI
10
20
30
40
10
20
30
40
d
10
20
30
40
10
20
30
40

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

IQR = Q₃- Q₁

Data is already given in increasing order.

n = 50

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