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Question
Score and estimated mean are given in the table below. Find the value of arithmetic mean.
Score Estimated Mean 7 17 10 17 15 17 21 17 27 17
Score and estimated mean are given in the table below. Find the value of arithmetic mean.
| Score | Estimated Mean |
| 7 | 17 |
| 10 | 17 |
| 15 | 17 |
| 21 | 17 |
| 27 | 17 |
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Solution
The correct option is B 16
As we know,
Arithmetic mean=Estimated mean(A)+Sum of deviationsNumber of Observations
= A + Σ(xi−A)N
Arithmetic mean=17+(7−17)+(10−17)+(15−17)+(21−17)+(27−17)5
Arithmetic mean=17+−10−7−2+4+105
Arithmetic mean=17+(−1)
= 16
As we know,
Arithmetic mean=Estimated mean(A)+Sum of deviationsNumber of Observations
= A + Σ(xi−A)N
Arithmetic mean=17+(7−17)+(10−17)+(15−17)+(21−17)+(27−17)5
Arithmetic mean=17+−10−7−2+4+105
Arithmetic mean=17+(−1)
= 16
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