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 (MEI) A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Types of data and standard diagrams, 2.2.2 Area in a histogram is proportional to frequency, 2.2.3 Cumulative frequency diagram, 2.2.4 Describe frequency distributions, 2.2.5 Samples and theoretical distributions, 2.2.6 Interpret a scatter diagram, 2.2.7 Distinct sections and outliers in scatter diagrams, 2.2.8 Correlation and causation, 2.2.9 Select or critique data presentation techniques, 2.2.10 Measures of central tendency, 2.2.11 Simple measures of spread, 2.2.12 Variance and standard deviation, 2.2.13 Outliers, 2.2.14 Cleaning data, and 2.2 Data Presentation and Interpretation. Each one has a worked solution and a mark scheme showing where the marks go.