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Calculating Averages and Sums

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

The average of 8 test scores is 72. What is the sum of all the test scores?

a)

576

b)

500

c)

560

d)

567

2.

The sum of 5 quiz scores is 365. What is the average score?

a)

73

b)

70

c)

65

d)

63

3.

The average of 20 numbers is 4.5. If one more number (a 10) is added to the group, what is the new average?

a)

4.76

b)

5

c)

4

d)

4.67

4.

A basketball player scored the following points in five games: 12, 15, 18, 20, and x. If their average is 17, what is the value of x?

a)

20

b)

15

c)

12

d)

18

5.

A class has 8 students with an average of 75, and 12 students with an average of 85. What is the overall class average?

a)

78

b)

81

c)

82

d)

84

6.

In a science fair, 10 projects from freshmen scored an average of 70, and 5 projects from sophomores scored an average of 90.
What was the overall average score?

a)

75

b)

76.7

c)

78

d)

80

7.

A company has two departments.

  • Department A: 20 employees, average salary = $40,000

  • Department B: 10 employees, average salary = $55,000

What is the company’s overall average salary?

a)

$45,000

b)

$46,667

c)

$48,333

d)

$50,000

8.

A student’s course grade is based on two parts:

  • Homework (40% of the grade) average = 80

  • Tests (60% of the grade) average = 90

What is the student’s final weighted average?

a)

82

b)

84

c)

86

d)

88

9.

A college has 300 underclassmen with an average GPA of 2.8, and 200 upperclassmen with an average GPA of 3.4.
What is the college’s overall GPA average?

a)

3.0

b)

3.1

c)

3.2

d)

3.3

10.

Find the mean.

(a)