Mean of 36 observations is 12. One observation 47 was misread as 74. Find the correct mean.
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4
∑x/36 =12
∑x = 36 × 12 = 432
∴ incorrect value = 432
correct value = incorrect value ∑x - incorrect value + correct value
= 432 - 47 + 74
= 459
so the correct mean = ∑x / n = 459/36=12.75
∑x = 36 × 12 = 432
∴ incorrect value = 432
correct value = incorrect value ∑x - incorrect value + correct value
= 432 - 47 + 74
= 459
so the correct mean = ∑x / n = 459/36=12.75
Answered by
4
mean=sum of all observations ÷no.of.observations
12=sum of all observations ÷36
12×36=sumof all observations
432=incorrect mean
432+(74-47)=459=correct sum of all numbers 459/36=correct mean 12.75=correct mean
12=sum of all observations ÷36
12×36=sumof all observations
432=incorrect mean
432+(74-47)=459=correct sum of all numbers 459/36=correct mean 12.75=correct mean
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