Answered: The median incomes of females in 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

The median incomes of females in a random sample of 30 states of the United States, including the District of Columbia and Puerto Rico, are given in the table below ('Median income of,' 2013). Create a frequency distribution and a relative frequency distribution using 7 classes.

29548
41412
22117
31330
33269
31274
33424
47476
33184
31329
34023
40550
36931
40500
60332
41817
31844
46185
34599
40416
40236
35746
29688
33459
38177
37242
31862
39150
33745
34381

a) Since data were collected for variable(s), the correct graph to make is a .

b) Using the formula class width = (maxX - minX)/(number of classes) and rounding up to the next whole number, the class width is

Complete the frequency/relative frequency table using 7 classes.

Round relative frequencies to 3 decimal places.

c) Which of the following is the correct histogram for the given data?

(If using a screenreader and you cannot see the options, use "message instructor" and include a copy of your histogram for hand grading.)

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Q

a) Since data were collected for ? Select an answer ✓ variable(s), the correct graph to make is a
Select an answer
b) Using the formula class width = (maxX - minX)/(number of classes) and rounding up to the next whole
number, the class width is
Complete the frequency/relative frequency table using 7 classes.
Round relative frequencies to 3 decimal places.
Classes
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Frequency
c) Which of the following is the correct histogram for the given data?
(If using a screenreader and you cannot see the options, use "message instructor" and include a copy of
your histogram for hand grading.)
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Relative Frequency
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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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