Consider these five data values: 10, 14, 15, 16, 20 The mean is 15.0 and the Standard Deviation is 3.6. Now look at these values: 10, 11, 15, 19, 20. With out doing any calculations what will happen to the standard deviation even though the mean is still the same. Select one: O a. The SD will be larger because 11 and 19 are father from the mean than 14 and 16 were. O b. The SD will be larger because the new values are close to each other. O C. The SD will be smaller because the new values effect the range. O d. The SD will be smaller because 11 and 19 are farther from the mean than 14 and 16 were.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Consider these five data values:
10, 14, 15, 16, 20
The mean is 15.0 and the Standard Deviation is 3.6.
Now look at these values: 10, 11, 15, 19, 20. With out doing any calculations what will happen to the standard deviation even
though the mean is still the same.
Select one:
a. The SD will be larger because 11 and 19 are father from the mean than 14 and 16 were.
O b.
The SD will be larger because the new values are close to each other.
O c.
The SD will be smaller because the new values effect the range.
O d. The SD will be smaller because 11 and 19 are farther from the mean than 14 and 16 were.
Transcribed Image Text:Consider these five data values: 10, 14, 15, 16, 20 The mean is 15.0 and the Standard Deviation is 3.6. Now look at these values: 10, 11, 15, 19, 20. With out doing any calculations what will happen to the standard deviation even though the mean is still the same. Select one: a. The SD will be larger because 11 and 19 are father from the mean than 14 and 16 were. O b. The SD will be larger because the new values are close to each other. O c. The SD will be smaller because the new values effect the range. O d. The SD will be smaller because 11 and 19 are farther from the mean than 14 and 16 were.
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