In a group of 10 students, the mean of the lowest 9 - Quantitative Aptitude | CAT Statistics |
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CAT 2020 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.
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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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