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?\nabby will use a different formula for calculating the standard deviation.\nthe outlier will increase the standard deviation of the data set.\nthe spread of the graph of the data will not change.\nabby 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?\nabby will use a different formula for calculating the standard deviation.\nthe outlier will increase the standard deviation of the data set.\nthe spread of the graph of the data will not change.\nabby will not use the mean when calculating the standard deviation.

Answer

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data. An outlier is a data - point that is far from other data points.

Step2: Analyze the effect of an outlier on standard deviation

A high - value outlier will increase the distance of data points from the mean. Since standard deviation is based on the squared differences from the mean, a high - value outlier will increase the standard deviation.

Step3: Analyze each option

  • Option 1: The formula for standard deviation doesn't change based on the presence of an outlier.
  • Option 2: A high - value outlier increases the spread of data, thus increasing the standard deviation. This is correct.
  • Option 3: An outlier changes the spread of the data, so the spread of the graph of the data will change.
  • Option 4: The mean is used in the standard - deviation formula regardless of the presence of an outlier.

Answer:

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