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A sample of size 40 yields the following sorted data. Note that I have x-ed out a(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below.

A sample of size 40 yields the following sorted data. Note that I have x-ed out a(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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B,C?

A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.2 58.3 58.7 58.9 60.8 60.9 61.0 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 X 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation?
Transcribed Image Text:A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.2 58.3 58.7 58.9 60.8 60.9 61.0 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 X 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation?
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