MathsAges 13-15

Calculating the mean

Sum a set of four data values and divide by four to calculate the arithmetic mean. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the mean of 17, 16, 22 and 21.
17 · 16 · 22 · 21 · Calculating the mean
2. Find the mean of 12, 12, 20 and 20.
12 · 12 · 20 · 20 · Calculating the mean
3. Find the mean of 22, 26, 28 and 32.
22 · 26 · 28 · 32 · Calculating the mean
4. Find the mean of 4, 4, 10 and 10.
4 · 4 · 10 · 10 · Calculating the mean
5. Find the mean of 6, 7, 11 and 12.
6 · 7 · 11 · 12 · Calculating the mean
6. Find the mean of 10, 13, 17 and 20.
10 · 13 · 17 · 20 · Calculating the mean
7. Find the mean of 5, 3, 9 and 7.
5 · 3 · 9 · 7 · Calculating the mean
8. Find the mean of 27, 24, 32 and 29.
27 · 24 · 32 · 29 · Calculating the mean
9. Find the mean of 8, 8, 16 and 16.
8 · 8 · 16 · 16 · Calculating the mean
10. Find the mean of 23, 24, 32 and 33.
23 · 24 · 32 · 33 · Calculating the mean
11. Find the mean of 9, 10, 12 and 13.
9 · 10 · 12 · 13 · Calculating the mean
12. Find the mean of 10, 13, 15 and 18.
10 · 13 · 15 · 18 · Calculating the mean

12 questions · Seed 51 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the mean of 17, 16, 22 and 21.
19
Sum = 17 + 16 + 22 + 21 = 76. Divide by 4: 76 ÷ 4 = 19.
2. Find the mean of 12, 12, 20 and 20.
16
Sum = 12 + 12 + 20 + 20 = 64. Divide by 4: 64 ÷ 4 = 16.
3. Find the mean of 22, 26, 28 and 32.
27
Sum = 22 + 26 + 28 + 32 = 108. Divide by 4: 108 ÷ 4 = 27.
4. Find the mean of 4, 4, 10 and 10.
7
Sum = 4 + 4 + 10 + 10 = 28. Divide by 4: 28 ÷ 4 = 7.
5. Find the mean of 6, 7, 11 and 12.
9
Sum = 6 + 7 + 11 + 12 = 36. Divide by 4: 36 ÷ 4 = 9.
6. Find the mean of 10, 13, 17 and 20.
15
Sum = 10 + 13 + 17 + 20 = 60. Divide by 4: 60 ÷ 4 = 15.
7. Find the mean of 5, 3, 9 and 7.
6
Sum = 5 + 3 + 9 + 7 = 24. Divide by 4: 24 ÷ 4 = 6.
8. Find the mean of 27, 24, 32 and 29.
28
Sum = 27 + 24 + 32 + 29 = 112. Divide by 4: 112 ÷ 4 = 28.
9. Find the mean of 8, 8, 16 and 16.
12
Sum = 8 + 8 + 16 + 16 = 48. Divide by 4: 48 ÷ 4 = 12.
10. Find the mean of 23, 24, 32 and 33.
28
Sum = 23 + 24 + 32 + 33 = 112. Divide by 4: 112 ÷ 4 = 28.
11. Find the mean of 9, 10, 12 and 13.
11
Sum = 9 + 10 + 12 + 13 = 44. Divide by 4: 44 ÷ 4 = 11.
12. Find the mean of 10, 13, 15 and 18.
14
Sum = 10 + 13 + 15 + 18 = 56. Divide by 4: 56 ÷ 4 = 14.

12 questions · Seed 51 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Take your time. Show your thinking.

1. Find the mean of 17, 16, 22 and 21.
17 · 16 · 22 · 21 · Calculating the mean
2. Find the mean of 12, 12, 20 and 20.
12 · 12 · 20 · 20 · Calculating the mean
3. Find the mean of 22, 26, 28 and 32.
22 · 26 · 28 · 32 · Calculating the mean
4. Find the mean of 4, 4, 10 and 10.
4 · 4 · 10 · 10 · Calculating the mean
5. Find the mean of 6, 7, 11 and 12.
6 · 7 · 11 · 12 · Calculating the mean
6. Find the mean of 10, 13, 17 and 20.
10 · 13 · 17 · 20 · Calculating the mean
7. Find the mean of 5, 3, 9 and 7.
5 · 3 · 9 · 7 · Calculating the mean
8. Find the mean of 27, 24, 32 and 29.
27 · 24 · 32 · 29 · Calculating the mean
9. Find the mean of 8, 8, 16 and 16.
8 · 8 · 16 · 16 · Calculating the mean
10. Find the mean of 23, 24, 32 and 33.
23 · 24 · 32 · 33 · Calculating the mean
11. Find the mean of 9, 10, 12 and 13.
9 · 10 · 12 · 13 · Calculating the mean
12. Find the mean of 10, 13, 15 and 18.
10 · 13 · 15 · 18 · Calculating the mean

12 questions · Seed 51 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Answers and reasoning. Review before teaching.

1. Find the mean of 17, 16, 22 and 21.
19
Sum = 17 + 16 + 22 + 21 = 76. Divide by 4: 76 ÷ 4 = 19.
2. Find the mean of 12, 12, 20 and 20.
16
Sum = 12 + 12 + 20 + 20 = 64. Divide by 4: 64 ÷ 4 = 16.
3. Find the mean of 22, 26, 28 and 32.
27
Sum = 22 + 26 + 28 + 32 = 108. Divide by 4: 108 ÷ 4 = 27.
4. Find the mean of 4, 4, 10 and 10.
7
Sum = 4 + 4 + 10 + 10 = 28. Divide by 4: 28 ÷ 4 = 7.
5. Find the mean of 6, 7, 11 and 12.
9
Sum = 6 + 7 + 11 + 12 = 36. Divide by 4: 36 ÷ 4 = 9.
6. Find the mean of 10, 13, 17 and 20.
15
Sum = 10 + 13 + 17 + 20 = 60. Divide by 4: 60 ÷ 4 = 15.
7. Find the mean of 5, 3, 9 and 7.
6
Sum = 5 + 3 + 9 + 7 = 24. Divide by 4: 24 ÷ 4 = 6.
8. Find the mean of 27, 24, 32 and 29.
28
Sum = 27 + 24 + 32 + 29 = 112. Divide by 4: 112 ÷ 4 = 28.
9. Find the mean of 8, 8, 16 and 16.
12
Sum = 8 + 8 + 16 + 16 = 48. Divide by 4: 48 ÷ 4 = 12.
10. Find the mean of 23, 24, 32 and 33.
28
Sum = 23 + 24 + 32 + 33 = 112. Divide by 4: 112 ÷ 4 = 28.
11. Find the mean of 9, 10, 12 and 13.
11
Sum = 9 + 10 + 12 + 13 = 44. Divide by 4: 44 ÷ 4 = 11.
12. Find the mean of 10, 13, 15 and 18.
14
Sum = 10 + 13 + 15 + 18 = 56. Divide by 4: 56 ÷ 4 = 14.

12 questions · Seed 51 · Age guidance, not curriculum certification