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2 Unit 2: Applied Mathematics A

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Question 41

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]
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2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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