Statistics-And-Probability Question 649

Question: The mean of 13 observations is 14. If the mean of the first 7 observations is 12. And that of the least 7 observations is 16, what is the value of the 7th observations?

Options:

A) 12

B) 13

C) 14

D) 15

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Total sum of 13 observations $ =14\times 13=182 $ Sum of 14 observation $ =7\times 12+7\times 16 $ $ =84\times 112=196 $ So, the 7th observation $ =196-182=14 $