Question

The mean of five observation is 89.If one of the observation is wrongly taken out as 42 in a state of 24. Find the correct mean.

Answer 1

mean of 5 observation=89
sum of 5 observation=89×5=445
if we subtract wrong Number=445-42=403
Real Number,when added=403+24=427
Correct mean=427÷5=85.4 answer

Answer 2

The correct mean is 85.4

Step-by-step explanation:

$Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

The mean of five observation is 89

$89 = \frac{\text{Sum of 5 observations}}{5} \\89 \times 5 =\text{Sum of 5 observations} \\445=\text{Sum of 5 observations}$

One of the observation is wrongly taken out as 42 in a state of 24.

New sum = 445-42+24=427

$\text{New mean} = \frac{427}{5}$

New mean = 85.4

Hence The correct mean is 85.4

#Learn more:

The mean of 5 observations is 7.Later on it was found that two observations 4 and 8 were wrongly taken instead of 5 and 9.Find the correct mean

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