Question

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

the median and the mode are the same.

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

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

Explanation:

Identify the definition of median

The median is the middle value of an ordered data set. If the data set has an odd number of entries, it is the middle entry. If it has an even number of entries, it is the mean of the two middle entries. This matches option B.

Identify the definition of mode

The mode is the data entry that occurs with the greatest frequency in a data set. This matches option C.

Answer:

Question 1

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

Question 2

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