Find the resulting mean of the observations 8, 12, 16, 22, 10 and 4 if each of the observations given, multiplied by 3 and then divided by 2.

14

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15

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17

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18

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Solution

The correct option is D $18$
The given observations are : $8, 12, 16, 10, 22, 4$
Multiplying each observation by 3 and the dividing each observation by 2, we get: $12, 18, 24, 15, 33, 6$
Mean = $\frac{S u m}{N u m b e r o f o b s e r v a t i o n s}$

Mean = $\frac{12 + 18 + 24 + 15 + 33 + 6}{6} = \frac{108}{6} = 18$
Hence, mean is $18$ .

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Find the resulting mean of the observations 8, 12, 16, 22, 10 and 4 if each of the observations given, multiplied by 3 and then divided by 2.

The correct option is D 18The given observations are : 8,12,16,10,22,4Multiplying each observation by 3 and the dividing each observation by 2, we get: 12,18,24,15,33,6Mean = SumNumberofobservationsMean = 12+18+24+15+33+66=1086=18Hence, mean is 18.