Question 71

The average of 10 numbers is 14.8. If two numbers 5 and 23 are replaced by 13 and 26 respectively, then what is the new average?

Solution

Given that average of 10 numbers is 14.8

$$\frac{sum\ of\ the\ numbers}{10}$$=14.8

sum of the numbers=148----(1)

Also given that two numbers 5 and 23 are replaced by 13 and 26

so we should add the value of 13-5=8 and 26-23=3 to the sum and find the average

=>$$\frac{\left(148+8+3\right)}{10}$$

=>159/10

=>15.9

hence answer is option A

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