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2.2 L: Data presentation and interpretation

2.2 L: Data presentation and interpretation

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Question 30

The times, t t\,t seconds, taken by 30 cars to accelerate from rest to a fixed speed are coded using

y=t−ab\displaystyle y = \frac{t - a}{b}y=bt−a​

where a a\,a and b b\,b are constants and b>0b > 0b>0.

The 30 coded values have mean 4 and standard deviation 2.5. The 30 original times have mean 74 seconds and standard deviation 12.5 seconds.

a.

Find the value of bbb.

[2]
b.

Find the value of aaa.

[2]
c.

The median of the coded values is 3.6. Find the median of the original times.

[2]
Markscheme

2.2 L: Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 L: Data presentation and interpretation

244 exam-style questions on AQA A Level Maths 2.2 L: Data presentation and interpretation, covering 2.2.1 Single-variable data diagrams, 2.2.2 Scatter diagrams and correlation, 2.2.3 Central tendency, variation and standard deviation, 2.2.4 Outliers and cleaning data, and 2.2 L: Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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