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In: Math

3) Here are the weights (kg) of 15 male lions and 17 female lions (all adults)....

3) Here are the weights (kg) of 15 male lions and 17 female lions (all adults). Construct a correct parallel boxplot for these data. males: 176.0 175.7 174.2 185.1 168.1 165.1 177.3 172.4 188.3 162.4 167.3 154.6 176.8 181.8 182.5 females: 105.8 98.1 128.3 114.7 113.6 135.0 125.3 113.5 110.7 109.2 104.1 153.4 105.2 130.4 129.8 111.6 135.0 PLOT ON PAPER PLEASE AND SHOW WORK

Solutions

Expert Solution

First we need to find the five number summary.

For male:

Following is the ordered data set:

Males
154.6
162.4
165.1
167.3
168.1
172.4
174.2
175.7
176
176.8
177.3
181.8
182.5
185.1
188.3

Minimum: 154.6

First quartile: First quartile will be middle value of the first half of the ordered data set. Since there are 15 data values in the data set so first quartile will be average of 4th and 5th data value. So

Median: Median will be middle value of the ordered data set. Since there are 15 data values in the data set so median will be the 8th data value. So


Third quartile: Third quartile will be middle value of the second half of the ordered data set. Since there are 15 data values in the data set so third quartile will be average of 11th and 12th data value. So


Maximum: 188.3

The IQR is:

Lower fence:

Upper fence:

Outliers: No

--------------------

For female:

Following is the ordered data set:

Females
98.1
104.1
105.2
105.8
109.2
110.7
111.6
113.5
113.6
114.7
125.3
128.3
129.8
130.4
135
135
153.4

Minimum: 98.1

First quartile: First quartile will be middle value of the first half of the ordered data set. Since there are 17 data values in the data set so first quartile will be 5th data value. So

Median: Median will be middle value of the ordered data set. Since there are 17 data values in the data set so median will be the 9th data value. So


Third quartile: Third quartile will be middle value of the second half of the ordered data set. Since there are 17 data values in the data set so third quartile will be average of 13th data value. So


Maximum: 153.4

The IQR is:

Lower fence:

Upper fence:

Outliers: No

--------------------

Following is the box plot:

milcah answered 1 month ago
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