The average of 27 numbers is 12. Average of first 13 number is 11 and

1.	The average of 27 numbers is 12. Average of first 13 number is 11 and average of last 13 numbers is 13. Find the 14th number.1. 112. 133. 124. 10
Answer» Correct Answer - Option 3 : 12 Given: Average of 27 numbers = 12 Average of first 13 numbers = 11 Average of last 13 numbers = 13 Formula used: Sum of observations = average × Number of observations Calculation: Sum of 27 numbers = 12 × 27 ⇒ 324 Sum of first 13 numbers = 11 × 13 ⇒ 143 Sum of last 13 numbers = 13 × 13 ⇒ 169 Total sum of first 13 numbers and last 13 numbers = (143 + 169) ⇒ 312 Now, 14th number = (324 – 312) ⇒ 12 ∴ The 14th number is 12

The average of 27 numbers is 12. Average of first 13 number is 11 and average of last 13 numbers is 13. Find the 14th number.1. 112. 133. 124. 10

Answer» Correct Answer - Option 3 : 12

Given:

Average of 27 numbers = 12

Average of first 13 numbers = 11

Average of last 13 numbers = 13

Formula used:

Sum of observations = average × Number of observations

Calculation:

Sum of 27 numbers = 12 × 27

⇒ 324

Sum of first 13 numbers = 11 × 13

⇒ 143

Sum of last 13 numbers = 13 × 13

⇒ 169

Total sum of first 13 numbers and last 13 numbers = (143 + 169)

⇒ 312

Now, 14th number = (324 – 312)

⇒ 12

∴ The 14th number is 12

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