Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 6, Problem 5E
To determine

To find the new summary statistics.

Expert Solution & Answer
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Explanation of Solution

Given:

Lowest score = 19

Mean = 27

Standard deviation = 3

Third quartile = 30

Median = 28

IQR = 6

Formula:

The convenient rule of thumb is,

  SAT=40×ACT+150

As per rule, only standard deviation and IQR will be unaffected by constant addition. But these things will be affected by multiplication factor. The new summary statistics after applying the convenient rule of thumb is,

  Lowest score = 40×19+150=910Mean =40×27+150=1230Standard deviation=40×3=120Third quartile=40×30+150=1350Median=40×28+150=1270IQR =40×6=240

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