Question

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

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

Explanation:

First Question (Median):

• Recall the definition of median: the middle value of a sorted data set.
• Outliers (extreme values) don't affect the median because it depends on the middle position, not the magnitude of extreme values.
• Option A is wrong (median not affected by outliers). Options C, D define mean. Options E, F define mode. So B is correct.

• Recall the definition of mode: the most common (frequent) value in a data set.
• Outliers (extreme values) don't affect the mode because mode depends on frequency, not the magnitude of values.
• Option A is wrong (mode not affected by outliers). Options B, D define median. Options C, F define mean. So E is correct.

Answer:

B. The median is the middle value in a data set. It is not affected by outliers

Second Question (Mode):