∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8–9 · Data Handling
Mean, Median, Mode and Range: Complete Guide
MEMORANDUM
Name:
Class:
Date:
Mark
/ 20
Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.
- 1Find the mean of 3, 5, 10, 2 (mean)(2)20 ÷ 4 = 5✓✓ (2)
- 2Find the mean of 12, 15, 18, 15 (mean)(2)60 ÷ 4 = 15✓✓ (2)
- 3Find the median of 8, 3, 9, 5, 6 (median, odd)(2)Order 3,5,6,8,9 → 6✓✓ (2)
- 4Find the median of 4, 10, 6, 8 (median, even)(2)Order 4,6,8,10 → (6+8)÷2 = 7✓✓ (2)
- 5Find the mode of 2, 4, 4, 4, 7, 9 (mode)(2)4 (appears three times)✓✓ (2)
- 6Find the range of 15, 22, 9, 30 (range)(2)30 − 9 = 21✓✓ (2)
- 7The mean of 4, 8, x, 6 is 7. Find x. (missing value)(2)Total 7×4 = 28; 28 − 18 = 10✓✓ (2)
- 8The mean of 5 numbers is 12. What is their total? (work back)(2)12 × 5 = 60✓✓ (2)
- 9Data: 6, 6, 7, 8, 40. Which is more typical, mean or median? (outlier)(2)Mean 13,4 vs median 7 → median (40 is an outlier)✓✓ (2)
- 10Find all four (mean, median, mode, range) for 2, 3, 3, 6 (all four)(2)Mean 14÷4 = 3,5; median (3+3)÷2 = 3; mode 3; range 6−2 = 4✓✓ (2)
TOTAL: 20 marks