The ages of the 200 individuals in OCR Large Data Set 9 are grouped below.
Age a (years)10≤a<2020≤a<3030≤a<4040≤a<5050≤a<6060≤a<7070≤a<8080≤a<90Frequency3226392620231519\begin{array}{c|cccccccc}\text{Age }a\text{ (years)}&10\leq a<20&20\leq a<30&30\leq a<40&40\leq a<50&50\leq a<60&60\leq a<70&70\leq a<80&80\leq a<90\\\hline\text{Frequency}&32&26&39&26&20&23&15&19\end{array}Age a (years)Frequency10≤a<203220≤a<302630≤a<403940≤a<502650≤a<602060≤a<702370≤a<801580≤a<9019
State the modal class.
Find the probability that an individual selected at random from the data set is aged at least 70.
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.