Question

construct the described data set. the entries in the data set cannot all be the same.

the mean is not representative of a typical number in the data set.

what is the definition of mean?

a. the value that lies in the middle of the data when the data set is ordered.
b. the data entry that occurs with the greatest frequency.
c. the data entry that is far removed from the other entries in the data set.
d. the sum of the data entries divided by the number of entries.

Explanation:

Identify the definition of the mean

$$ \text{Mean} = \frac{\sum x_i}{n} $$

Evaluate the given options

• Option A describes the median.
• Option B describes the mode.
• Option C describes an outlier.
• Option D describes the mean.

Answer:

• A. The value that lies in the middle of the data when the data set is ordered.
• B. The data entry that occurs with the greatest frequency.
• C. The data entry that is far removed from the other entries in the data set.
• D. The sum of the data entries divided by the number of entries. (Correct answer)