Here is a boxplot for a distribution of data. 0 2 T 4 T 6 8 10 12 1. Calculate the IQR for the boxplot shown. 2. Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown. a. Give your 10 numbers. b. Give the 5-number summary for your data. c. Describe your strategy for figuring this out. 3. Make up another data set (n = 10) that has the same minimum value, same median, and same maximum value, but a smaller IQR than the boxplot shown. a. Give your 10 numbers. b. Give the 5-number summary for your data. c. Describe your strategy for figuring this out.

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Here is a boxplot for a distribution of data.
0
2
T
4
6
8
T
10
12
1. Calculate the IQR for the boxplot shown.
2. Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
3. Make up another data set (n = 10) that has the same minimum value, same median, and same maximum value, but a smaller IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
Transcribed Image Text:Here is a boxplot for a distribution of data. 0 2 T 4 6 8 T 10 12 1. Calculate the IQR for the boxplot shown. 2. Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown. a. Give your 10 numbers. b. Give the 5-number summary for your data. c. Describe your strategy for figuring this out. 3. Make up another data set (n = 10) that has the same minimum value, same median, and same maximum value, but a smaller IQR than the boxplot shown. a. Give your 10 numbers. b. Give the 5-number summary for your data. c. Describe your strategy for figuring this out.
Expert Solution
Step 1

Interquartile range is the difference between the third quartile and the first quartile.

First quartile is the value below which 25% of data is expected to lie.

Third quartile is the value below which 75% of data is expected to lie.

In a boxplot, the first quartile is represented by the left end of the box. Whereas the third quartile is represented by the right end of the box.

 

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