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 4, Problem 23E

(a)

To determine

To Explain: the spread in running times on the basis of the quartiles and the standard deviation.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

  standarddeviation=19.6minutesQ1=97minutesQ3=119minutes

Quartile: the middle 50% of runners ran between 97 and 119 minutes, for a 22 minute range. Standard deviation: in general, the centre range of runners ran within 19.6 minutes of each other. These are general definition of quartile and standard deviation.

(b)

To determine

To Explain: the about of spread.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

  standarddeviation=19.6minutesQ1=97minutesQ3=119minutes

The use of standard deviation might be misleading here. The data is skewed rightward, with few outliers that cause the spread to be a little misrepresented. In general, the spread would be smaller if these items were not here.

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