Question

what is the effect on finding mean of 20 scores if one of them is copied as 73 for 37 wrongly ​

Answer 1

We have to find the effect on finding mean of 20 scores if one of them is copied as 73 for 37 wrongly.

solution : one of the observations is copied as 73 for 37 wrongly.

so the true value of the observation is 37.

true mean = (sum of 19 observations + 37)/20

and false value of the observation is 73.

so false mean = (sum of 19 observations + 73)/20

so the effect on finding means = false mean - true mean

= (sum of 19 observations + 73)/20 - (sum of 19 observations + 37)/20

= (73 - 37)/20

= 36/20

= 1.8

hence, if m is mean of 20 observations, after mistake, it will be (m + 1.8)

Therefore mean of 20 scores if one of them is copied as 73 for 37 wrongly , is increased by 1.8

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