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

Here are the answers so witch one is it???

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.

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}
---------------------------------                             --------------------------------
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)