Handling Data 3
4 marks · NormalThe table shows the frequency of scores in a quiz.
| Score | Frequency |
|---|---|
| 2 | 3 |
| 3 | 5 |
| 4 | 6 |
| 5 | 4 |
| 6 | 2 |
Work out the mean score.
Write down the modal score.
Find the range of the scores.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) 4.1
(b) 4
(c) 6 - 2 = 4
Show mark scheme and worked solution
Marking points
M1 (a) · 1 mark · Correct use of frequency × score for mean. (follow-through)
A1 (a) · 1 mark · Accurate answer for mean, correct to 1 dp. (follow-through)
B1 (b) · 1 mark · Correct mode (value with highest frequency).
B2 (c) · 1 mark · Correct range calculated.
Worked solution
Total score = (2×3)+(3×5)+(4×6)+(5×4)+(6×2) = 6+15+24+20+12 = 77
Total frequency = 3+5+6+4+2 = 20
Mean = 77/20 = 3.85 (to 1dp: 3.9)
Mode: largest frequency is 6, so modal score = 4
Range = 6 - 2 = 4