Q1:

2025: Actual Paper

Mean, Median & Mode

Medium

A bag consists of tokens whose labels are selected from all of the first nn even natural numbers. The frequency of each label equals half the label itself. Then the variance of all the labels the bag is

Answer options
Option 2
Correct Answer
Explanation for 2025: Actual Paper QA question 1

Q2:

2025: Sample Paper

Mean, Median & Mode

Hard

We have a bag of tokens. Each token has a label mm chosen from the squares of the first nn natural numbers, with frequency m\sqrt{m}. What is the arithmetic mean of the labels?

Answer options
Option 1
Correct Answer
Explanation for 2025: Sample Paper QA question 2

Q3:

2025: Sample Paper

Mean, Median & Mode

Medium

Arun scored 25, 13, 12 and 22 points in the 6th6^{\text{th}}, 7th7^{\text{th}}, 8th8^{\text{th}} and 9th9^{\text{th}} basketball games, respectively. His points-per game average was higher after nine games than it was after the first five games. If his average after ten games was greater than 19, the least number of points that he could have scored in the 10th10^{\text{th}} game, was

Answer options
Option 1
Correct Answer
Explanation for 2025: Sample Paper QA question 3