Question

abby is collecting rainfall data. she finds that one value of the data set is a 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:

• Standard deviation formulas do not change for datasets with outliers; the same population or sample formulas apply, so the first option is false.
• Standard deviation measures data spread. An outlier is far from most values, increasing the average distance from the mean, thus raising standard deviation, making this option true.
• An outlier increases data spread, so the graph's spread will change, making the third option false.
• Standard deviation calculations always rely on the mean (average distance from the mean), so the fourth option is false.

Answer:

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