A corner shop owner tracks the shop's weekly takings in a notebook kept beside the till, hoping to spot which weeks are consistently quieter than others bef...
Question 1 Report
A corner shop owner tracks the shop's weekly takings in a notebook kept beside the till, hoping to spot which weeks are consistently quieter than others before deciding whether to change the opening hours. Over five weeks, the takings, in pounds, were 1250, 1380, 1190, 1420 and 1310.
- Find the median weekly takings. (2)
- Find the range of the weekly takings. (1)
Answer Details
This question tests calculating a median and a range from a raw list of weekly takings.
- Sorting the five amounts: 1190, 1250, 1310, 1380, 1420. With 5 values, the median is the middle (3rd) value, £1310 [2].
- The highest takings were £1420 and the lowest were £1190, so the range is \[ 1420-1190 = \] £230 [1].
The median (£1310) is not pulled towards either extreme, since it depends only on the middle-ranked value, whereas the range of £230 shows the actual size of the swing between the best and worst weeks.
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