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The difference between the highest and lowest single game point totals for the MIDDLE HALF of the data is ______ points less for Joe's data than Sam's data. Therefore, the MIDDLE HALF of Joe's single game point totals are less varied than Sam's.

User Alan Dong
by
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Answer:

See Explanation

Explanation:

The question is incomplete, as the required data to answer the question are missing.

However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.

Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data

Then, make comparison

To do this, I will use the following assumed datasets.


Data: 62, 63, 64, 64, 70, 72, 76, 77, 81, 81

IQR is calculated as:


IQR = Q_3 - Q_1


Q_3 is
the\ median of the upper half


Q_1 is
the\ median of the lower half

For Joe, we have:


Lower\ half: 62, 63, 64, 64, 70


Upper\ half: 72, 76, 77, 81, 81

The median is then calculated as:


M = (N + 1)/(2)

For, the lower half:


Q_1 = (5 + 1)/(2) = (6)/(2) = 3rd

So:


Q_1 = 64

For the upper half:


Q_3 = (5 + 1)/(2) = (6)/(2) = 3rd

So:


Q_3 = 77

When the same process is applied to Sam's data,


Q_1 = 52


Q_3 = 58


IQR = Q_3 - Q_1


IQR = 77 - 64


IQR = 13

Assume that:


Joe = 60


Sam = 65


Joe - IQR = 60 - 13 = 47


Sam- IQR = 65- 13 = 52

Hence, the IQR is 47 points less for Joe's data than Sam's

User Rosamunda
by
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