The mean of 40 observations is 160. It was detected on rechecking that the value 165 was wrongly copied as 125. Find the correct mean
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▶ Question - The mean of 40 observations is 160. It was detected on rechecking that the value 165 was wrongly copied as 125. Find the correct mean.
▶ Given :-
The mean of 40 observations = 160
The wrong value of 165 = 125
▶ Explanation :-
=> 160 = x1 + x2 + x3 + x4 + ........... + x40 / 40
=> x1 + x2 + x3 + x4 + ........ + x40 = 160 × 40
=> x1 + x2 + x3 + x4 + ........ + x40 = 6400
Difference between the numbers = 165 - 125
Difference between the numbers = 40
Corrected sum = 6400 + 40 = 6440
New mean = Sum of all observations / Total no.of observations
= 6440 / 40
= 161
New mean = 161
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Answer:> 160 = x1 + x2 + x3 + x4 + ........... + x40 / 40
=> x1 + x2 + x3 + x4 + ........ + x40 = 160 × 40
=> x1 + x2 + x3 + x4 + ........ + x40 = 6400
Difference between the numbers = 165 - 125
Difference between the numbers = 40
Corrected sum = 6400 + 40 = 6440
New mean = Sum of all observations / Total no.of observations
= 6440 / 40
= 161
New mean = 161
Step-by-step explanation:
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