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 occurs with the greatest frequency. b. the sum of the data entries divided by the number of entries. c. the value that lies in the middle of the data when the data set is ordered. d. the data entry that is far removed from the other entries in the data set. 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 value that lies in the middle of the data when the data set is ordered. d. the data entry that occurs with the greatest frequency. choose the data set where the median and mode of the set are equal. a. 4,4,4,5,6,6,6 b. 2,2,11,11 c. 1,1,7,7,7,8,8 d. 4,8,12,16,16,20

Explanation:

Step1: Recall mode definition

Mode is the most frequent data entry.

Step2: Analyze mode definition options

Option A states "The data entry that occurs with the greatest frequency," which matches.

Step3: Check option A for median and mode

Data: [4,4,4,5,6,6,6]. Mode=4,6; Median=5. Not equal.

Step4: Check option B for median and mode

Data: [2,2,11,11]. Mode=2,11; Median=6.5. Not equal.

Step5: Check option C for median and mode

Data: [1,7,7,7,8,8]. Mode=7; Median=7. Equal.

Step6: Check option D for median and mode

Data: [4,8,12,16,16,20]. Mode=16; Median=14. Not equal.

Answer:

A. The data entry that occurs with the greatest frequency
C. 1,7,7,7,8,8