1MA0 Higher June 2014 Paper 2 Q23
23
(a) Explain what is meant by a stratified sample. (1)
The table shows information about the ages of the people living in a village.
| Age group | Number of people |
|---|---|
| Under 21 | 72 |
| 21–40 | 90 |
| 41–60 | 123 |
| Over 60 | 314 |
Mrs Parrish carries out a survey of these people.
She uses a sample size of 50 people stratified by age group.
(b) Work out the number of people over 60 years of age in the sample. (2)
| Answer | Mark | Notes |
|---|---|---|
| Explanation | 1 | B1 for appropriate explanation eg “a sample in the same proportions as the population” |
| Answer | Mark | Notes |
|---|---|---|
| 26 | 2 | M1 for \(\dfrac{314}{\text{``}599\text{''}} \times 50\) (=26.2…) A1 cao |