A researcher is studying psychological factors in athletic achievement among teenage boys. One variable she is particularly interested in is competitiveness. What information does a measure of variability for the variable competitiveness convey? Check all that apply. O What is the most common value for the variable competitiveness among teenage boys? What is the central tendency for the variable competitiveness among teenage boys? Do all teenage boys have the same amount of competitiveness? O How consistent are the values for competitiveness among teenage boys?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A researcher is studying psychological factors in athletic achievement among teenage boys. One variable she is particularly interested in is
competitiveness. What information does a measure of variability for the variable competitiveness convey? Check all that apply.
O What is the most common value for the variable competitiveness among teenage boys?
What is the central tendency for the variable competitiveness among teenage boys?
Do all teenage boys have the same amount of competitiveness?
O How consistent are the values for competitiveness among teenage boys?
Transcribed Image Text:A researcher is studying psychological factors in athletic achievement among teenage boys. One variable she is particularly interested in is competitiveness. What information does a measure of variability for the variable competitiveness convey? Check all that apply. O What is the most common value for the variable competitiveness among teenage boys? What is the central tendency for the variable competitiveness among teenage boys? Do all teenage boys have the same amount of competitiveness? O How consistent are the values for competitiveness among teenage boys?
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Follow-up Question

Consider a data set containing the following values:

80, 94, 93, 106, 91, 90, 96, 99
The mean of the preceding values is 93.625. The deviations from the mean have been calculated as follows:

-13.625, 0.375, -0.625, 12.375, -2.625, -3.625, 2.375, 5.375
If this is sample data, what is the sample variance?

What is the sample standard deviation?

If this is population data, what is the population variance?

What is the population standard deviation?
Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be...

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