Higher January 2021 Paper 1 Q11
11 The cumulative frequency graph gives information about the weights, in grams, of 90 bags of sweets.
(a) Find an estimate for the median of the weights of these bags of sweets. (2)
Roberto sells the bags of sweets to raise money for charity.
Bags with a weight greater than \(d\) grams are labelled large bags and sold for 3.75 euros each bag.
The total amount of money he receives by selling all the large bags is 93.75 euros.
(b) Find the value of \(d\). (3)
| Scheme | Marks |
|---|---|
| M1 | |
| 146 | A1 |
| (2) |
Notes
M1: for use of cf at 45
A1: accept in the range 145 – 147
| Scheme | Marks |
|---|---|
| 93.75 ÷ 3.75 (= 25) | M1 |
| Using cf diagram at 90 – “25” (= 65) | M1 |
| 151 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for use of cf at “65”
A1: accept in the range 150 – 152