Foundation June 2023 Unit 1 Q16
16. The mean of four numbers is 7.
(a) What is the total of the four numbers? [1]
(b) Find a set of four numbers such that:
- their mean is 7
- their range is 6.
Write your four numbers in the boxes below. [2]
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| Scheme | Marks | Comments |
|---|---|---|
| 28 | B1 | Allow B1 for a correct embedded answer (e.g. 28 ÷ 4 = 7 BUT B0 if contradicted by total ≠ 28). Allow the sequence 7,14,21,28 for B1, but only if no further numbers are shown. |
| Scheme | Marks | Comments | ||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Four numbers (in any order) with a total of 28 and range of 6 e.g.
| B2 | Numbers may be seen in any order. Accept answers using fractions and decimals. FT ‘their total’ from 16(a). Award B1 for four numbers with one of the following:
|