4MA0 Higher June 2015 Paper 4 Q4
4 Becky has a biased 6-sided spinner.
She spins the spinner 25 times.
She records the score for each spin.
The table shows information about her scores.
| Score | Frequency |
|---|---|
| 1 | 9 |
| 2 | 6 |
| 3 | 3 |
| 4 | 2 |
| 5 | 1 |
| 6 | 4 |
(a) Find her median score. (2)
(b) Work out her mean score. (3)
| Scheme | Marks |
|---|---|
| (25 + 1) ÷ 2 or 13 or 12.5 | M1 |
| 2 | A1 |
| (2) |
Notes
M1: or listing scores and clear attempt to find middle value
| Scheme | Marks |
|---|---|
| 1×9 + 2×6 + 3×3 + 4×2 + 5×1 + 4×6 oe (= 67) | M1 |
"67" ÷ 25 or \(\dfrac{9 + 12 + 9 + 8 + 5 + 24}{25}\) oe (allow one error in a product) | M1dep |
| 2.68 or \(2\dfrac{17}{25}\) | A1 |
| (3) |
Notes
M1: sight of at least 4 products and intention to add
M1dep: for division of sum of products by 25 (can be their 25 if evidence of adding frequencies)
A1: accept 2.7 or 3 if preceded by \(\dfrac{67}{25}\)