Dataset 1 :- 2, 2, 3, 3, 4, 4
Dataset 2 :- 6, 6, 8, 8, 10, 10
What is the average of the average of both the datasets?

3.5

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5.5

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Solution

The correct option is C 5.5
Sum of the observations in the dataset 1 = 2 + 2 + 3 + 3 + 4 + 4 = 18
Sum of the observations in the dataset 2 = 6 + 6 + 8 + 8 + 10 + 10 = 48
$M e a n o f d a t a s e t 1 = \frac{S u m o f O b s e r v a t i o n s}{N u m b e r o f O b s e r v a t i o n}$

= $\frac{18}{6}$ = 3
$M e a n o f d a t a s e t 2 = \frac{S u m o f O b s e r v a t i o n s}{N u m b e r o f O b s e r v a t i o n}$

= $\frac{48}{6}$ = 8

Average of the means
$= \frac{8 + 3}{2}$
= 5.5

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