Mean (Average)

Show your work for each problem.

1.
What is the mean of , , and ?
1. a)3
2. b)6
3. c)4
4. d)12
Answer: 4
Mean =
2.
Find the mean of , , , and .
Answer: 10
Sum = . Mean = .
3.
A student scored , , on three tests. Find the mean score.
Answer: 80
1. What is the sum of all scores? 240
2. How many scores are there? 3
3. What is ? 80
4.
Which formula correctly shows how to calculate the mean?
1. a)Count ÷ Sum
2. b)Sum × Count
3. c)Sum ÷ Count
4. d)Sum + Count
Answer: Sum ÷ Count
The mean is calculated by dividing the sum of all values by how many values there are (the count).
5.
The temperatures for 4 days were , , , and . What is the mean temperature?
Answer: 21
Sum = . Mean = .
6.
A basketball player scored , , , , and points in five games. Find the mean points per game.
Answer: 18
1. Add all the points scored 90
2. How many games were played? 5
3. Divide the total by the number of games 18
7.
The mean of 4 numbers is . What is the sum of these 4 numbers?
1. a)11
2. b)4
3. c)19
4. d)60
Answer: 60
Sum = Mean × Count = .
8.
Find the mean: , , , , .
Answer: 15
Sum = . Mean = .
9.
Three friends have a mean age of years. Two of them are and years old. How old is the third friend?
Answer: 11
1. What is the total age needed for a mean of 12 with 3 friends? 36
2. What is the sum of the two known ages? 25
3. What is the third friend's age? 11
10.
A student has test scores of , , , and . What score does she need on the 5th test to have a mean of ?
Answer: 85
1. What total is needed for a mean of 85 with 5 tests? 425
2. What is the sum of the 4 known scores? 340
3. What score is needed on the 5th test? 85
11.
The mean of , , and is . What is ?
1. a)40
2. b)30
3. c)20
4. d)10
Answer: 30
Total needed = . Known sum = . So .
12.
Find the mean of , , , and .
Answer: 5
Sum = . Mean = .
13.
The mean of 6 numbers is . If one number () is removed, what is the new mean of the remaining 5 numbers?
Answer: 22
1. What is the original sum of all 6 numbers? 150
2. What is the sum after removing 40? 110
3. What is the new mean with 5 numbers? 22
14.
A class of 20 students has a mean test score of . Another class of 30 students has a mean of . What is the combined mean score for all 50 students?
Answer: 81
Class 1 total = . Class 2 total = . Combined = . Mean = .
15.
The prices of 5 items are 12€, 8€, 15€, 10€, and 20€. Which statement about the mean is TRUE?
1. a)The mean is 15€
2. b)The mean is 10€
3. c)The mean is 13€
4. d)The mean is 12€
Answer: The mean is 13€
Sum = €. Mean = €.