Question

There are 13 numbers having an average of 9. the largest and the smallest numbers are 26 and 8.5 respectively. find the average of the remaining numbers

Answer 1

The average of remaining numbers will be 7.5

Answer 2

Answer:

The average of the remaining numbers are 7.5

Step-by-step explanation:

Given that,

The average of 13 Numbers = 9

largest number = 26

smallest number = 8.5

To find

The average of the remaining numbers .....?

Explanation,  

According the Question,

We have,

The average of Numbers = 9

largest number = 26

smallest number = 8.5

total numbers = 13

let's find the total sum of numbers

We know that,

                        Average = (total sum of numbers)/(total numbers)

So,

    total sum of numbers  = Average of numbers × total numbers

                                          = 9 × 13

    total sum of numbers  = 117

There is two numbers 26 and 8.5 are given

So,

    total sum  of remaining numbers = 117 - 25 - 8.5                                  

   total sum  of remaining numbers = 82.5

Now,

    remaining numbers = 11

So,

The average of the remaining numbers = ( total sum  of remaining numbers) / remaining numbers

The average of the remaining numbers = $\frac{82.5}{11}$

                                                                    = 7.5

Answer:

The average of the remaining numbers are 7.5

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