Question

The average of 20 numbers is 75. The number 86 was incorrectly read as 68 while
calculating. Find the correct average. 4.3

Answer 1

Step-by-step explanation:

avg=75

n=20

sum=n*avg=20*75=1500

newsum=1500-(86-68)=1482

so correct average=1482/20=74.10

Answer 2

The new mean is 75.9

Step-by-step explanation:

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

The average of 20 numbers is 75.

$75= \frac{\text{Sum of 20 observations}}{20}$

$75 \times 20 = \text{Sum of 20 observations}$

$1500= \text{Sum of 20 observations}$

The number 86 was incorrectly read as 68 while  calculating

So, New sum = 1500 -68+86 =1518

$New mean = \frac{1518}{20}=75.9$

Hence The new mean is 75.9

#Learn more:

The mean of 17 observations is 31 if three new observations 20,23 and 50 are added find the new mean​

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