Select the correct answer. what conclusion can be derived by comparing the central tendencies of the two data sets? a: {7, 6, 3, 1, 6, 2, 4, 6, 3, 5} b: {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.

1st Rearrange A and B from lower to higher data points:

A ={ 1 2 3 3 4 5 6 6 6 7}        and                B = { 2 2 2 2 3 4 5 6 7 8}

a) Median = 4.5                                           Median = 3.5

b) Mean = 4.3                                              Mean = 4.1

c) Mode = 3                                                 Mode = 4

d) Range = 6                                                Range = 6

Conclusion:

A is more performing than B (Median near Mean in A)

Data in A is negatively skewed (Median>Mean) and in B positively Skewed (Median < Mean)

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