What conclusion can be derived by comparing the central tendencies of the two data sets?

1: {7, 6, 3, 1, 6, 2, 4, 6, 3, 5}

2: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}

A. The mean of set A is smaller than the mean of set B

B. The median of set A is greater than the median of set B.

C. The median and the mean of set B are greater than those of set A.

D. The mode of set B is greater than the mode of set A.

Question

Rogelio

Mathematics

21 August, 02:36

What conclusion can be derived by comparing the central tendencies of the two data sets?

1: {7, 6, 3, 1, 6, 2, 4, 6, 3, 5}

2: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}

A. The mean of set A is smaller than the mean of set B

B. The median of set A is greater than the median of set B.

C. The median and the mean of set B are greater than those of set A.

D. The mode of set B is greater than the mode of set A.

+4

Answers (1)

Know the Answer?

Nikolas Terrell · Answer 1

Set 1 = {1, 2, 3, 3, 4, 5, 6, 6, 6, 7}

mean = (1 + 2 + 3 + 3 + 4 + 5 + 6 + 6 + 7) / 10 = 37/10 = 3.7

median = (4 + 5) / 2 = 9/2 = 4.5

Set 2 = {2, 2, 2, 2, 3, 4, 5, 6, 7, 8}

mean = (2 + 2 + 2 + 2 + 3 + 4 + 5 + 6 + 7 + 8) / 10 = 41/10 = 4.1

median = (3 + 4) / 2 = 7/2 = 3.5

Therefore,

A. The mean of set A is smaller than the mean of set B

B. The median of set A is greater than the median of set B.