Question

choose the correct description of the mean below.
a. the mean is the middle value in a data set. it can be strongly affected by outliers.
b. the mean is the most common value in a data set. it can be strongly affected by outliers.
c. the mean is the sum of all the values divided by the number of values. it can be strongly affected by outliers.
d. the mean is the most common value in a data set. it is not affected by outliers.
e. the mean is the sum of all the values divided by the number of values. it is not affected by outliers.
f. the mean is the middle value in a data set. it is not affected by outliers.
choose the correct description of the median below.
a. the median is the sum of all the values divided by the number of values. it can be strongly affected by outliers.
b. the median is the middle value in a data set. it can be strongly affected by outliers.
c. the median is the sum of all the values divided by the number of values. it is not affected by outliers.
d. the median is the most common value in a data set. it can be strongly affected by outliers.
e. the median is the most common value in a data set. it is not affected by outliers.
f. the median is the middle value in a data set. it is not affected by outliers.

Explanation:

The mean is calculated as the sum of all values divided by the number of values. Outliers can greatly influence the mean because they contribute to the sum. The median is the middle - value of a data - set when the data is ordered. Since it only depends on the position in the ordered list, outliers do not affect it.

Answer:

1. C. The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers.
2. F. The median is the middle value in a data set. It is not affected by outliers.