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In a group of 10 students, the mean of the lowest 9 - Quantitative Aptitude | CAT Statistics |

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The question below is from previous year CAT question from CAT 2020 exam comes from sub-section CAT Statistics: In a group of 10 students, the mean of the lowest 9… . Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2020 – Slot 2 - CAT Statistics - Question 3 - In a group of 10 students, the mean of the lowest 9

Question 3: In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by

1. 5
2. 3
3. 4
4. 6

Answer:

c

Here a2 to a9 is common to both the terms

So, a1 + (a2 to a9) = 42 × 9

a10 + (a2 to a9) = 47 × 9

Solving these two a10 – a1 = 45

a1, a2, a3,………………………, a9, (a1 + 45)

One instance is every number is 42

42, 42, …………………, 42, 42+45 (a1 to a9 are equal) ———–(1)

Another instance is every number is 47

47 – 45, 47, …………………, 47, 47 (a2 to a10 are equal) ———(2)

Mean of (1) = 46.5

Mean of (2) = 42.5

(1) – (2) = 4

 

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