The distance travelled by 100 people to an event is summarised 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=80425\sum fx^2 = 80425∑fx2=80425
Use linear interpolation to estimate the median distance.
Estimate the mean distance.
Estimate the standard deviation.
Hence estimate the variance, giving your answer to 3 significant figures.
96 exam-style questions on Edexcel A Level Maths Measures of Location and Spread, covering 2.1 Measures of Central Tendency, 2.2 Other Measures of Location, 2.3 Measures of Spread, 2.4 Variance and Standard Deviation, and 2.5 Coding. Each one has a worked solution and a mark scheme showing where the marks go.