abby is collecting rainfall data. she finds that one value of the data set is a high - value outlier. which…

abby is collecting rainfall data. she finds that one value of the data set is a high - value outlier. which statement must be true?\no abby will use a different formula for calculating the standard deviation.\no the outlier will increase the standard deviation of the data set.\no the spread of the graph of the data will not change.\no abby will not use the mean when calculating the standard deviation.

abby is collecting rainfall data. she finds that one value of the data set is a high - value outlier. which statement must be true?\no abby will use a different formula for calculating the standard deviation.\no the outlier will increase the standard deviation of the data set.\no the spread of the graph of the data will not change.\no abby will not use the mean when calculating the standard deviation.

Answer

Brief Explanations:

The standard - deviation measures the spread of data. An outlier, especially a high - value one, is far from the other data points. This increases the overall spread of the data, and thus increases the standard deviation. The formula for standard deviation doesn't change with the presence of an outlier, and the mean is used in the standard deviation formula. Also, an outlier changes the spread of the data graph.

Answer:

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