Handling Data 2
2 marks · EasyThe table shows the scores obtained by students in a quick science quiz.
| Score (x) | Frequency (f) |
|---|---|
| 1 | 3 |
| 2 | 6 |
| 3 | 7 |
| 4 | 4 |
(a)[2 marks]
Work out the mean score.
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
2.7 (±0.05)
Common mistakes: Incorrectly dividing by number of rows instead of total frequency
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Marking points
M1 (a) · 1 mark · Correctly applies mean formula: (sum of fx)/total frequency.
A1 (a) · 1 mark · Accurately calculates mean = (1×3 + 2×6 + 3×7 + 4×4)/20 = 54/20 = 2.7. (follow-through)
Worked solution
Sum of all scores = 1×3 + 2×6 + 3×7 + 4×4 = 3 + 12 + 21 + 16 = 52.
Total frequency = 3 + 6 + 7 + 4 = 20.
Mean = 52 ÷ 20 = 2.6