CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

The question is from CAT Ratio, Mixtures and Averages. It is actually from a wonderful statistics concept called "Unbiased estimator". CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023.

Question 11: From 10 numbers, a, b, c,...j, all sets of 4 numbers are chosen and their averages computed. Will the average of these averages be equal to the average of the 10 numbers?

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: Understanding weighted averages is very vital in this topic. When a set of terms is counted multiple times, tracking how many times each term is counted becomes important.

Yes. All the terms appear the same number of times when we select them 4 at a time. So, the average of averages will be equal to the overall average.

The question is "Will the average of these averages be equal to the average of the 10 numbers?"

Hence, the answer is "Yes".