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these puzzle solving times. Should the minimum and maximum data values be denoted as outliers in the boxplot? Minimum Q, Median Q, Maximum Mean Standard deviation 21.5 39 45 51.5 71 40.7 8.4

these puzzle solving times. Should the minimum and maximum data values be denoted as outliers in the boxplot? Minimum Q, Median Q, Maximum Mean Standard deviation 21.5 39 45 51.5 71 40.7 8.4

MATLAB: An Introduction with Applications
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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8. A researcher studying problem solving is interested in examining how long (in minutes) it takes individuals to solve a particular type of puzzle. Below is a table of summary statistics that were computed based on the puzzle solving times from a large sample of individuals. The researcher ultimately wants to create a boxplot based on these puzzle solving times. Should the minimum and maximum data values be denoted as outliers in the boxplot? Minimum Q, Median Q, Maximum Mean Standard deviation 21.5 39 45 51.5 71 40.7 8.4 A. The minimum should be denoted as an outlier, but not the maximum. B. The maximum should be denoted as an outlier, but not the minimum. C. Both the minimum and maximum should be denoted as outliers. D. Neither the minimum nor maximum should be denoted as outliers. E. There is not enough information present in order to determine if either the minimum or the maximum should be denoted as outliers.
Transcribed Image Text:8. A researcher studying problem solving is interested in examining how long (in minutes) it takes individuals to solve a particular type of puzzle. Below is a table of summary statistics that were computed based on the puzzle solving times from a large sample of individuals. The researcher ultimately wants to create a boxplot based on these puzzle solving times. Should the minimum and maximum data values be denoted as outliers in the boxplot? Minimum Q, Median Q, Maximum Mean Standard deviation 21.5 39 45 51.5 71 40.7 8.4 A. The minimum should be denoted as an outlier, but not the maximum. B. The maximum should be denoted as an outlier, but not the minimum. C. Both the minimum and maximum should be denoted as outliers. D. Neither the minimum nor maximum should be denoted as outliers. E. There is not enough information present in order to determine if either the minimum or the maximum should be denoted as outliers.
Expert Solution
Step 1

The summary of data is given by

Minimum = 21.5

Q1 = 39

Median = 45

Q3 = 51.5

Maximum = 71,

Then inter-quartile range IQR is

IQR = Q3 - Q1 = 51.5 - 39 = 12.5

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