Question

abby is collecting rainfall data. she finds that one value of the data set is a high - value outlier. which statement must be true?
abby will use a different formula for calculating the standard deviation.
the outlier will increase the standard deviation of the data set.
the spread of the graph of the data will not change.
abby will not use the mean when calculating the standard deviation.

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures spread.

Step2: Analyze outlier effect

A high - value outlier is far from the mean.

Step3: Determine impact on standard deviation

It increases the overall spread, thus increasing standard deviation.

Step4: Rule out other options

Same formula is used for standard deviation with or without outliers. The spread of the graph increases with an outlier. Mean is used in standard - deviation calculation.

Answer:

The outlier will increase the standard deviation of the data set.