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Mean

The mean of 2...

Question

The mean of 200 values of a data was 50. It was later found that two values were wrongly read as 92 and 8 instead of 192 and 88 respectively. The correct mean is

A

51

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B

50.9

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C

50.6

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D

52.43

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Solution

The correct option is B 50.9
$T h e v a l u e s m i s r e a d w e r e 192 a n d 88 (92 a n d 8) . D i f f e r e n c e i n t h e v a l u e s e n t e r e d = 100 + 80 = 180 T h e d i f e r e n c e t h i s c a u s e d i n t h e m e a n o f 200 n o s = 180 / 200 = .9 S o a c t u a l m e a n = 50 + .9 = 50.9$

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