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2.2 Data presentation and interpretation

2.2 Data presentation and interpretation

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Question 9

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 Data presentation and interpretation Questions

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

105 exam-style questions on WJEC A Level Maths 2.2 Data presentation and interpretation, covering 2.2.1 Data presentation and interpretation, 2.2.2 Data presentation and interpretation, 2.2.3 Data presentation and interpretation, 2.2.4 Data presentation and interpretation, 2.2.5 Data presentation and interpretation, 2.2.6 Data presentation and interpretation, 2.2.7 Data presentation and interpretation, 2.2.8 Data presentation and interpretation, 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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