Canada Grade 8 Math Measures of central tendency

What is the mean of the following set of numbers: 4, 8, 6, 5, 3?

• 5

• 6

• 4

• 7

Answer explanation

To find the mean, add the numbers: 4 + 8 + 6 + 5 + 3 = 26. Then divide by the count of numbers (5): 26 / 5 = 5. Thus, the mean is 5.

Find the median of the following data set: 12, 15, 11, 14, 13.

• 12

• 13

• 14

• 15

Answer explanation

To find the median, first arrange the data in ascending order: 11, 12, 13, 14, 15. The median is the middle value, which is 13 in this case.

What is the mode of the following numbers: 7, 9, 7, 10, 11, 7, 9?

• 7

• 9

• 10

• 11

Answer explanation

The mode is the number that appears most frequently. In the list 7, 9, 7, 10, 11, 7, 9, the number 7 appears three times, more than any other number, making it the mode.

Calculate the mean of the numbers: 20, 25, 30, 35, 40.

• 30

• 25

• 35

• 20

Answer explanation

To find the mean, add the numbers: 20 + 25 + 30 + 35 + 40 = 150. Then divide by the count of numbers (5): 150 / 5 = 30. Thus, the mean is 30.

Determine the median of the following set: 5, 8, 12, 3, 9, 7.

• 7

• 8

• 9

• 12

Answer explanation

To find the median, first arrange the numbers in ascending order: 3, 5, 7, 8, 9, 12. Since there are six numbers, the median is the average of the 3rd and 4th values: (7 + 8) / 2 = 7.5. The closest whole number is 8.

What is the mode of the following data: 15, 18, 15, 20, 22, 18, 15?

• 15

• 18

• 20

• 22

Answer explanation

The mode is the number that appears most frequently in a data set. In the data 15, 18, 15, 20, 22, 18, 15, the number 15 appears three times, more than any other number, making it the mode.

Find the mean of these numbers: 50, 60, 70, 80, 90.

• 70

• 60

• 80

• 75

Answer explanation

To find the mean, add the numbers: 50 + 60 + 70 + 80 + 90 = 350. Then divide by the count of numbers (5): 350 / 5 = 70. Thus, the mean is 70.

What is the median of the following numbers: 21, 23, 19, 22, 20?

• 21

• 22

• 23

• 20

Answer explanation

To find the median, first arrange the numbers in ascending order: 19, 20, 21, 22, 23. The median is the middle number, which is 21.

Determine the mode of the following set: 3, 5, 3, 7, 8, 3, 6.

• 3

• 5

• 7

• 8

Answer explanation

The mode is the number that appears most frequently in a set. In the set 3, 5, 3, 7, 8, 3, 6, the number 3 appears three times, more than any other number, making it the mode.

Calculate the mean of the numbers: 100, 110, 120, 130, 140.

• 120

• 110

• 130

• 140

Answer explanation

To find the mean, add the numbers: 100 + 110 + 120 + 130 + 140 = 600. Then divide by the count of numbers (5): 600 / 5 = 120. Thus, the mean is 120.