Question 1 The list of numbers 41, 35, 30, x, y, 15 has a median of 25 & a mode of 15. To the nearest whole number, what's the mean?

-- Answer -- 26

The list of numbers is from highest to lowest. The median is 25, therefore (30+x)/2 = 25, x=20.

The mode is 15, therefore y=15.

The mean is (41+35+30+20+15+15)/6 = 26

Question 2 There are 11 positive numbers. The mean & median is 7. What is the max value if each number is different?

-- Answer -- 13

Since all numbers are positive and the median is 7, there must be 5 numbers between 1 to 6; the smallest number can be 1. Therefore, the largest number can be 13 if the mean is 7.

Question 3 The difference between 2 numbers is 15. If n is the larger number, which expression represents the average of the 2 numbers?

-- Answer -- 7.5

To calculate the mean of n numbers, take the sum and divide it by n. (n + n – 15) / 2 = n – 7.5