Question

the mean of marks scored by hundred students was found to be 40 later on it was discovered that a score of 53 was misread as 83 find the correct mean

Answer 1

number of school students = 100
Mean = 40
${x}^{ -} = \frac{sume \: of \: marks}{n} \\ 40 = \frac{sum \: of \: marks}{100} \\ sum \: ofmarks = 4000$
By mistake 53 read as 83
Correct sum of marks =4000 +53-83 =3970

Correct mean= correct sum of marks/n
= 3970/100
= 39.70






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