25
QuizMultiple Choice

Standard Deviation — Quiz

Question 25 • Algebra II

Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?

Answer
A
The spread of the graph of the data will not change.
B
Abby will not use the mean when calculating the standard deviation.
C
The outlier will increase the standard deviation of the data set.
D
Abby will use a different formula for calculating the standard deviation.

Explanation

A high-value outlier lies far above the other data values, increasing the distances from the mean. Standard deviation measures the typical distance of data values from the mean, so this outlier increases the standard deviation. The correct choice is “The outlier will increase the standard deviation of the data set.”

AI-written and checked against the verified answer.

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