Question

Average of 6 numbers is 8,what number should be added it to make the average of 9

Answer 1

Answer:

let the nos. be x1 x2....

... x6

now (x1+x2..... x6) /6= 8

x1+x2..... x6= 48

let x7 be added to make the average 9

now (x1+x2...... x7) /7=9

x1+x2.... x7=63

as x1+x2..... x6=48

therefore 48 + x7 =63

x7 = 63-48

x7 = 15

therefore the no. added is 15

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Answer 2

The number should be added it to make the average of 9 is 15

Step-by-step explanation:

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

Average of 6 numbers is 8

So, $8 = \frac{\text{Sum of 6 numbers}}{6}$

$48=\text{Sum of 6 numbers}$

Let the number that should be added to get average of 9 be x

So, Sum of 7 numbers = 48+x

So, $9=\frac{48+x}{7}$

63 = 48+x

63-48=x

15=x

Hence The number should be added it to make the average of 9 is 15

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