Question

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5

Answer 1

Answer:

Step-by-step explanation:

35Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5

B) 11.5

C) 12.5

D) 13.5

Answer: B) 11.5

Explanation:

Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

Answer 2

Given : The average of 11 numbers is 10.9 and average of the first six numbers is 10.5

To find : Average of last 5 numbers

Solution:

The average of 11 numbers is 10.9

=> Sum of 11 numbers = 11 * 10.9

=> Sum of 11 numbers = 119.9

average of the first six numbers is 10.5

=> Sum of 6 numbers = 6 * 10.5

=> Sum of 6 numbers  = 63

Remaining numbers = 11 - 6 = 5

Sum of remaining 5 numbers = 119.9 - 63

= 56.9

Average of 5 numbers = 56.9/5

=> Average of 5 numbers = 11.38

Average of last 5 numbers = 11.38

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