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

The question is from CAT Ratio, Mixtures and Averages. How mean and median are related to each other in a sample? 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 10: In a sequence of 25 terms, can 20 terms be below the average? Can 20 terms be between median and average?

Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: One more based on possible samples given properties of mean and median. Given a sample, finding mean and median is easy. Given mean and median, imagining the sample is the tougher, more interesting bit.

Yes. We can have 24 zeroes and 1500 as the 25 numbers. In this case, there are 24 numbers below the average.

No. In a sequence of 25 numbers, 12 will be greater than or equal to the median and 12 will be lesser than or equal to the median. We cannot have 20 terms in between the average and median

The question is "Can 20 terms be below the average? Can 20 terms be between median and average?"

Hence, the answer is "Yes, No".