The stem-and-leaf display shows populations of the 50 regions, in millions of people, according to a census. Complete parts a through d below. 5 1 99 10111344 0 5555566667777789 0 11111222222223334444444 (2 |5 means 25) a) What measures of center and spread are most appropriate? For the center, use the median because the distribution is not symmetric. For the spread, use the IQR because the distribution is not symmetric. b) Without doing any calculations, which must be larger: the median or the mean? Explain. The mean is larger because the distribution is skewed to the right. c) From the stem-and-leaf display, find the median and the interquartile range. The median is 5 million. (Simplify your answer.) The interquartile range is 6 million. (Simplify your answer.) d) Write a few sentences describing this distribution. This distribution has more than 2 obvious modes, so it is multimodal. In this case, the right tail is longer and the distribution is approximately symmetric. There is/are at least one obvious outlier.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The stem-and-leaf display shows
populations of the 50 regions, in millions of
people, according to a census. Complete
parts a through d below.
99
10111344
0 5555566667777789
0 11111222222223334444444
|5 means 25)
a) What measures of center and spread are most appropriate?
For the center, use the median because the distribution is not symmetric. For the spread, use the
IQR
because the distribution is not symmetric.
b) Without doing any calculations, which must be larger: the median or the mean? Explain.
The
mean is larger because the distribution is skewed to the right.
c) From the stem-and-leaf display, find the median and the interquartile range.
The median is 5 million.
(Simplify your answer.)
The interquartile range is 6 million.
(Simplify your answer.)
d) Write a few sentences describing this distribution.
This distribution has more than 2 obvious modes, so it is multimodal.
In this case, the right tail is longer and the distribution is approximately symmetric. There is/are at least one obvious outlier.
Transcribed Image Text:The stem-and-leaf display shows populations of the 50 regions, in millions of people, according to a census. Complete parts a through d below. 99 10111344 0 5555566667777789 0 11111222222223334444444 |5 means 25) a) What measures of center and spread are most appropriate? For the center, use the median because the distribution is not symmetric. For the spread, use the IQR because the distribution is not symmetric. b) Without doing any calculations, which must be larger: the median or the mean? Explain. The mean is larger because the distribution is skewed to the right. c) From the stem-and-leaf display, find the median and the interquartile range. The median is 5 million. (Simplify your answer.) The interquartile range is 6 million. (Simplify your answer.) d) Write a few sentences describing this distribution. This distribution has more than 2 obvious modes, so it is multimodal. In this case, the right tail is longer and the distribution is approximately symmetric. There is/are at least one obvious outlier.
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