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ExpertsGlobal5
What is the average age of the 12 people on a certain jury?

(1) The oldest juror is 61, and the youngest is 29.
(2) Average age of the 10 youngest jurors is 40.



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We need to find the average age of 12 members ?

Statement 1:

The oldest juror is 61, and the youngest is 29.

29 +x2+x3+ ......+x10+ x11+61.

Since we don’t know the values of x2 to x11. We cannot find average.

Hence, Insufficient.

Statement 2:

(2) Average age of the 10 youngest jurors is 40.

Sum of first ten members = 40*10 = 400

Thus, 400+ x11+x12 = total sum.

Two unknown parameters.

Hence, Insufficient

Combine both Statements 1 and 2, we get

With the first term being 29, doesn’t alter the total value of 400.

x12 =69.

So, we need the value of x11. We can assume any value as 40 or 61.

The average varies.

Hence, Insufficient

Option E
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ExpertsGlobal5
What is the average age of the 12 people on a certain jury?

(1) The oldest juror is 61, and the youngest is 29.
(2) Average age of the 10 youngest jurors is 40.

Explanation:

There are 12 people on a certain jury.
We need to find whether the average age of the jury can be determined.

Statement (1)

Since the average value of a set depends on all elements within that set and no information is provided regarding the ages of the middle 10 members, it is NOT possible to determine the exact average age of the jury. Hence, Statement (1) is insufficient.

Statement (2)

Since the average value of a set depends on all elements within that set and no information is provided regarding the ages of the oldest 2 members, it is NOT possible to determine the exact average age of the jury. Hence, Statement (2) is insufficient.

As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.

Statement (1) and Statement (2) combined

The two statements combined give us no information regarding the age of the 11th youngest member.

It is NOT possible to determine the exact average age of the jury. Hence, Statement (1) and Statement (2) combined are insufficient.

E is the correct answer choice.
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