The distances travelled by 100 people to an event, recorded to the nearest mile, are summarised in the table below.
| Distance (nearest mile) | Frequency |
|---|---|
| 0–9 | 4 |
| 10–19 | 19 |
| 20–29 | 41 |
| 30–39 | 26 |
| 40–49 | 9 |
| 50–59 | 1 |
You may use ∑fx=2650\sum fx = 2650∑fx=2650 and ∑fx2=80 425\sum fx^2 = 80\,425∑fx2=80425, where the values of x x\,x are the class midpoints.
Use linear interpolation to estimate the median distance.
Estimate the mean distance.
Estimate the standard deviation of the distances.
105 exam-style questions on WJEC A Level Maths 2.2 Data presentation and interpretation, covering 2.2.1 Data presentation and interpretation, 2.2.2 Data presentation and interpretation, 2.2.3 Data presentation and interpretation, 2.2.4 Data presentation and interpretation, 2.2.5 Data presentation and interpretation, 2.2.6 Data presentation and interpretation, 2.2.7 Data presentation and interpretation, 2.2.8 Data presentation and interpretation, and 2.2 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.