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2.2 Data Presentation and Interpretation

2.2 Data Presentation and Interpretation

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Question 27

The lifetimes x x\,x hours of 40 components are grouped below.

x0≤x<2020≤x<3030≤x<6060≤x<80frequency814126\begin{array}{c|cccc}x&0\leq x<20&20\leq x<30&30\leq x<60&60\leq x<80\\\hline\text{frequency}&8&14&12&6\end{array}xfrequency​0≤x<208​20≤x<3014​30≤x<6012​60≤x<806​​

a.

Calculate estimates of the mean and sample standard deviation.

[5]
b.

Explain two limitations of using these estimates to describe the original data.

[2]
Markscheme

2.2 Data Presentation and Interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 Data Presentation and Interpretation

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.

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