Finding Mean and Mode

Definition of Mean

average

Definition of Mode

the number that you see most often

The mean of a set of five numbers is 4.8. Given that the sixth number is x and the mean of these six numbers is 5.5, find the value of x.

x = 9

The mean of five numbers 3, 7, 9, 12, and x is 8. Find the value of x.

x = 9

In a race, the mean time for three runners was 12.4 seconds and the mean time for another six runners was 11.5 seconds. Calculate the mean time for all nine runners.

11.8 seconds

Find the mode: 13, 31, 12, 45, 6, 19, 21, 12, 31

12 AND 31

Find the mode: 20, 22, 15, 21, 17, 13, 15, 21, 14, 9, 24

15 AND 21

Four boys have heights of 154 cm, 157 cm, 160 cm, and 165 cm. Find the mean.

159 cm

Find the mode: 21, 23, 37, 30, 21, 36, 26, 33, 27, 41, 27, 21

21

Geraldine recorded a set of six numbers and found the mean to be 11.2. After she accidentally erased one of the numbers, she only had five numbers left: 2.3, 6.5, 8.8, 12.4, and 16. Find the missing number.

21.2

Find the mode: 25, 25, 35, 39, 37, 31, 37, 30, 25, 37, 30

25 AND 37

Find the mode: 48, 40, 34, 51, 34, 39, 35, 35, 38

34 AND 35

Find the mean: 39, 34, 35, 42, 45, and 12

34.5

The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are in the ratio 2 : 3, find the two numbers.

38 and 57

The lengths of five ropes are 3.2 meters, 5.2 meters, 2.9 meters, 6.6 meters, and 4.5 meters. Find the mean length of these five ropes.

4.48 meters

The masses of six chairs are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find their mean mass.

40.7 kilograms

Find the mean: 21.5 cm, 63.7 cm, 18.9 cm, 34.1 cm, 75.6 cm

42.76 cm

Find the mode: 48, 42, 47, 57, 47, 41, 40, 48, 45

47 AND 48

Find the mode: 52, 43, 49, 51, 48, 50, 58, 59, 48

48

Find the mode: 5, 6, 4, 5, 8, 9, 9, 3, 4, 5

5

The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forwards.

5

These are the temperatures at noon from Monday to Friday in one city: 52°F, 51°F, 49°F, 48°F, and 54°F. Find the mean.

50.8°F

Find the mode: 65, 56, 52, 57, 60, 53, 53, 52, 67, 52

52

Find the mode: 13, 21, 6, 8, 6, 18, 17, 15, 16, 9, 13, 12

6 AND 13

The scores of a basketball team in a series of games are 76, 85, 65, 58, 68, 72, 91, and 68

68

Find the mode: 81, 69, 69, 84, 80, 78, 82, 87, 70, 71, 70

69 AND 70

The mean weight of nine apples is 7.5 ounces. Three of the apples have a mean weight of 8 ounces. Find the mean weight of the other six apples.

7.25 ounces

Jay's mean score for four quizzes is 8. His scores for the first three quizzes are 7.5, 8, and 9. What is Jay's score for the last quiz?

7.5

Find the mean: 65, 74, 80

73

Find the mean: 72 L, 91 L, 65 L, 81 L, 62 L, 83 L, 75 L, 88 L

77.13 L

Find the mean: 8, 7, 5, 9, 6, 13

8

Find the mode: 81, 81, 83, 81, 67, 84, 82, 82, 73, 72

81

Sarah's mean number of points scored for four video games is 7500. How many points must she score for the fifth video game so that her score becomes 7700?

8500

Find the mode: 85, 91, 83, 79, 77, 80, 91, 75, 87, 91

91

How do you find the mean?

Add all numbers in a set of data and then divide the sum by the number of items. Example: 4+2+3+3= 12 12 divided by 4= 3, so 3 is the mean.