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प्रश्न
The mean of 11 observations is 28. It was found that one observation 34 was misread as 23. Find the mean if:
- this observation is excluded.
- correct observation is included.
बेरीज
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उत्तर
Given:
Mean of 11 observations = 28.
One observation 34 was misread as 23.
Total (recorded) sum of 11 observations = 11 × 28 = 308.
a. If the (misread) observation is excluded:
Sum of remaining 10 observations
= 308 – 23
= 285
New mean
= 285 ÷ 10
= 28.5
b. If the correct observation (34) is included (i.e., replace 23 by 34):
Corrected total sum
= 308 – 23 + 34
= 319
New mean
= 319 ÷ 11
= 29
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