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2.2 Data Presentation and Interpretation

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Question 46

A sensor records temperature x x\,x in degrees Celsius. Its readings have mean 18.4 and sample standard deviation 2.6. A converted reading is y=1.8x+32y=1.8x+32y=1.8x+32.

a.

Find the mean and sample standard deviation of yyy.

[2]
b.

Explain why adding 32 changes the mean but does not change the standard deviation.

[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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