A histogram of puzzle-completion times has the following frequency densities.
time t (s)0≤t<3030≤t<6060≤t<9090≤t<120120≤t<150frequency density11486\begin{array}{c|ccccc}\text{time }t\text{ (s)}&0\leq t<30&30\leq t<60&60\leq t<90&90\leq t<120&120\leq t<150\\\hline\text{frequency density}&1&1&4&8&6\end{array}time t (s)frequency density0≤t<30130≤t<60160≤t<90490≤t<1208120≤t<1506
There are 120 people with completion time at least 150 seconds. Estimate the percentage who took less than 90 seconds.
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.