Puzzles class 6 Mean- Median

Puzzles on Median and Mean

Puzzle 1

Find the median of the numbers: 3, 5, 7, 2, 9, 12, 4.

Hint: Arrange the numbers in ascending order and find the middle value.

Answer: The numbers in order are 2, 3, 4, 5, 7, 9, 12. The median is 5.

Puzzle 2

Calculate the mean of these numbers: 10, 15, 20, 25, 30.

Hint: Add all the numbers and divide by the total count of numbers.

Answer: (10 + 15 + 20 + 25 + 30) ÷ 5 = 20.

Puzzle 3

If the mean of 5 numbers is 8, what is their total sum?

Hint: Use the formula: Mean × Number of values = Total sum.

Answer: 8 × 5 = 40.

Puzzle 4

Find the median of the numbers: 12, 7, 15, 10, 18, 20, 6.

Hint: Sort the numbers and find the middle value.

Answer: Sorted numbers: 6, 7, 10, 12, 15, 18, 20. The median is 12.

Puzzle 5

The mean of five numbers is 12. If four of the numbers are 10, 12, 15, and 20, what is the fifth number?

Hint: Use the formula: Mean × Number of values = Total sum. Then subtract the sum of the known numbers.

Answer: Mean = 12, Total sum = 12 × 5 = 60. Sum of the known numbers = 10 + 12 + 15 + 20 = 57. The fifth number is 60 - 57 = 3.

Puzzle 6

Find the mean of these numbers: 5, 10, 15, 20, 25, 30, 35.

Hint: Add all the numbers and divide by the total count of numbers.

Answer: (5 + 10 + 15 + 20 + 25 + 30 + 35) ÷ 7 = 20.

Puzzle 7

Find the median of the numbers: 50, 40, 70, 60, 80, 30, 90.

Hint: Arrange the numbers in ascending order and find the middle value.

Answer: Sorted numbers: 30, 40, 50, 60, 70, 80, 90. The median is 60.

Puzzle 8

If the mean of 8 numbers is 14, what is the total sum of these numbers?

Hint: Use the formula: Mean × Number of values = Total sum.

Answer: 14 × 8 = 112.

Puzzle 9

The median of the numbers 6, 9, 12, 15, 18 is?

Hint: The numbers are already sorted. Find the middle value.

Answer: The numbers are 6, 9, 12, 15, 18. The median is 12.

Puzzle 10

Find the mean of the numbers: 8, 12, 16, 20, 24, 28, 32, 36.

Hint: Add all the numbers and divide by the total count of numbers.

Answer: (8 + 12 + 16 + 20 + 24 + 28 + 32 + 36) ÷ 8 = 21.