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=2651\sum fx = 2651∑fx=2651 and ∑fx2=80434.25\sum fx^2 = 80434.25∑fx2=80434.25
Use linear interpolation to estimate the median distance.
Estimate the mean distance.
Estimate the standard deviation.
121 exam-style questions on OCR A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Tables and diagrams for single variable data, 2.2.2 Area in a histogram, 2.2.3 Scatter diagrams and regression lines, 2.2.4 Informal interpretation of correlation, 2.2.5 Correlation and causation, 2.2.6 Measures of average and spread, 2.2.7 Calculations of mean and standard deviation, 2.2.8 Outliers, 2.2.9 Selecting or critiquing data presentation, and 2.2.10 Cleaning data. Each one has a worked solution and a mark scheme showing where the marks go.