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Mean of 12 observation was found to be 28. Later on, it was detected that an observation 62 was misread as 26. Then the correct mean of the observations is
- a)28
- b)31
- c)33
- d)36
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Mean of 12 observation was found to be 28. Later on, it was detected t...
Given, mean of 12 observation was found to be 28.
Mean = sum of observations/number of observations.
Sum of observations = 12 × 28 = 336
Now, it was detected that an observation 62 was misread as 26.
∴ Correct mean = 
Most Upvoted Answer
Mean of 12 observation was found to be 28. Later on, it was detected t...
Given Information:
- The mean of 12 observations is 28.
- One observation was misread as 26 instead of 62.
Calculating the Correct Mean:
To find the correct mean, we need to consider the misread observation as 62 instead of 26 and recalculate the mean.
Original sum of observations = mean * number of observations
= 28 * 12
= 336
Correct sum of observations = sum of original observations + correct value - incorrect value
= 336 + 62 - 26
= 372
Correct mean = correct sum of observations / number of observations
= 372 / 12
= 31
Therefore, the correct mean of the observations is 31, which corresponds to option 'B'.
- The mean of 12 observations is 28.
- One observation was misread as 26 instead of 62.
Calculating the Correct Mean:
To find the correct mean, we need to consider the misread observation as 62 instead of 26 and recalculate the mean.
Original sum of observations = mean * number of observations
= 28 * 12
= 336
Correct sum of observations = sum of original observations + correct value - incorrect value
= 336 + 62 - 26
= 372
Correct mean = correct sum of observations / number of observations
= 372 / 12
= 31
Therefore, the correct mean of the observations is 31, which corresponds to option 'B'.
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Community Answer
Mean of 12 observation was found to be 28. Later on, it was detected t...
Let take sum as x
x/12=28
x=28×12
x=336
62 is misread as 26,so we have to add 36 to 26 to get 62.
x+36=372
mean of 12 items is
372/12=31.
x/12=28
x=28×12
x=336
62 is misread as 26,so we have to add 36 to 26 to get 62.
x+36=372
mean of 12 items is
372/12=31.
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Mean of 12 observation was found to be 28. Later on, it was detected that an observation 62 was misread as 26. Then the correct mean of the observations isa)28b)31c)33d)36Correct answer is option 'B'. Can you explain this answer?
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