Question

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}

Answer 1

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

Explanation:

I got it right. Hope this helps.

Answer 2

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}
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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:
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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)