I’m sure it’s correct but I’m not sure if it’s larger or smaller or the same!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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I’m sure it’s correct but I’m not sure if it’s larger or smaller or the same!
6. Calculating standard deviation and variance using the definitional formula
Consider a data set containing the following values:
60 93 84 80 95 99 78 90
The mean of the preceding values is 84.875. The deviations from the mean have been calculated as follows:
-24.875 8.125 -0.875 -4.875 10.125 14.125 -6.875 5.125
Transcribed Image Text:6. Calculating standard deviation and variance using the definitional formula Consider a data set containing the following values: 60 93 84 80 95 99 78 90 The mean of the preceding values is 84.875. The deviations from the mean have been calculated as follows: -24.875 8.125 -0.875 -4.875 10.125 14.125 -6.875 5.125
If this is sample data, the sample variance is 154.98
and the sample standard deviation is 12.45
If this is population data, the population variance is 135.61
and the population standard deviation is 11.65 ▼
Suppose the largest value of 99 in the data was misrecorded as 96. If you were to recalculate the variance and standard deviation with the 96 instead
larger
of the 99, your new values for the variance and standard deviation would be
Transcribed Image Text:If this is sample data, the sample variance is 154.98 and the sample standard deviation is 12.45 If this is population data, the population variance is 135.61 and the population standard deviation is 11.65 ▼ Suppose the largest value of 99 in the data was misrecorded as 96. If you were to recalculate the variance and standard deviation with the 96 instead larger of the 99, your new values for the variance and standard deviation would be
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