Foundation June 2022 Paper 3 Q14
14 Here is the shoe size of each of 12 boys in a class.
4 5 6 6 6 7 7 8 8 8 8 9
(a) Find the median. (1)
(b) Work out the range. (1)
For the shoe sizes of each of 12 girls in the class,
the median size is 6
the range is 3
(c) Compare the distribution of the shoe sizes of the boys with the distribution of the shoe sizes of the girls. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 7 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 5 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| C2 | ft for correct comparison of both medians and ranges, eg median of boys shoe sizes is greater than the median of the girls shoe sizes and the range of the boys shoe sizes is greater than the range of the girls shoe sizes. | |
| (C1 | ft for a correct comparison of either medians or ranges) |
Additional guidance
Simply quoting values for median, range is insufficient; they must be compared.