Find the mean, median, mode, range, and standard deviation of each data set that is obtained after multiplying each value by the given constant. 12. 64, 42, 58, 40, 61, 67, 58, 52, 51, 49; × 0.2 Mean: Standard Deviation: Median: Range: 17. BRAINTEASERS The time that it took Leon and Cassie to complete puzzles is shown. Mode: Leon's Times (minutes) Cassie's Times (minutes) 4.5, 1.8, 3.2, 5.1, 2.0, 2.6, 4.8, 2.4, 2.2, 2.8, 1.8, 2.2, 3.9, 2.3, 3.3, 2.4 2.3, 5.8, 4.8, 3.3, 5.2, 4.6, 3.6, 5.7, 3.8, 4.2, 5.0, 4.3, 5.5, 4.9, 2.4, 5.2 a. Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then describe the shape of each distribution. b. Compare the data sets using either the means and standard deviations or the five-numb summaries. Justify your choice.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Number 12.
Find the mean, median, mode, range, and standard deviation of each data set that is
obtained after multiplying each value by the given constant.
12. 64, 42, 58, 40, 61, 67, 58, 52, 51, 49; × 0.2
Mean:
Standard Deviation:
Median:
Range:
17. BRAINTEASERS The time that it took Leon and Cassie to complete puzzles is shown.
Mode:
Leon's Times (minutes)
Cassie's Times (minutes)
4.5, 1.8, 3.2, 5.1, 2.0, 2.6, 4.8, 2.4, 2.2, 2.8,
1.8, 2.2, 3.9, 2.3, 3.3 , 2.4
2.3, 5.8, 4.8, 3.3, 5.2, 4.6, 3.6, 5.7, 3.8, 4.2,
5.0, 4.3, 5.5, 4.9, 2.4, 5.2
a. Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then
describe the shape of each distribution.
b. Compare the data sets using either the means and standard deviations or the five-numb
summaries. Justify your choice.
Transcribed Image Text:Find the mean, median, mode, range, and standard deviation of each data set that is obtained after multiplying each value by the given constant. 12. 64, 42, 58, 40, 61, 67, 58, 52, 51, 49; × 0.2 Mean: Standard Deviation: Median: Range: 17. BRAINTEASERS The time that it took Leon and Cassie to complete puzzles is shown. Mode: Leon's Times (minutes) Cassie's Times (minutes) 4.5, 1.8, 3.2, 5.1, 2.0, 2.6, 4.8, 2.4, 2.2, 2.8, 1.8, 2.2, 3.9, 2.3, 3.3 , 2.4 2.3, 5.8, 4.8, 3.3, 5.2, 4.6, 3.6, 5.7, 3.8, 4.2, 5.0, 4.3, 5.5, 4.9, 2.4, 5.2 a. Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then describe the shape of each distribution. b. Compare the data sets using either the means and standard deviations or the five-numb summaries. Justify your choice.
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