Question

This task will go beyond the traditional idea to measure central tendency where a set of data is given and usually has been asked to compute mean. median or mode. The task will give you five questions and will ask to use analytical mind to provide solution.

1) A sequence consists of 7 terms arranged in descending order. The mean value of the sequence is 70. If 30 is added to each term, and then each term is divided by 2 to get the new mean as ‘K’. Find the difference between K and the original mean.

2) A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average?

3) In a sequence of 25 terms, can 20 terms be below the average? Can 20 terms be between median and average?

4) In a class of 5 students, average weight of the 4 lightest students is 40 kgs, Average weight of the 4 heaviest students is 45 kgs. What is the difference between the maximum and minimum possible average weight overall?

5) The average of 5 distinct positive integers if 33. What are the maximum and minimum possible values of the median of the 5 numbers if the average of the three largest numbers within this set is 39?

Answer 1