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2.2.3 Central tendency, variation and standard deviation

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Question 9

The masses, $x\,$ kg, of 40 cars have mean 1420 kg and standard deviation 180 kg. The masses are coded using

$y=x−100020\displaystyle y = \frac{x - 1000}{20}$

Find the mean and the standard deviation of the coded values.

[3]

The median of the coded values is 20.5. Find the median mass.

[1]

Explain why the standard deviation of the coded values is smaller than 180.

[1]

Markscheme

2.2.3 Central tendency, variation and standard deviation Questions

A Level
Maths
2.2.3 Central tendency, variation and standard deviation

39 exam-style questions on AQA A Level Maths 2.2.3 Central tendency, variation and standard deviation. Each one has a worked solution and a mark scheme showing where the marks go.

2.2.3 Central tendency, variation and standard deviation

Question bank

2.2.3 Central tendency, variation and standard deviation

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Question 9

The masses, $x\,$ kg, of 40 cars have mean 1420 kg and standard deviation 180 kg. The masses are coded using

$y=x−100020\displaystyle y = \frac{x - 1000}{20}$

Find the mean and the standard deviation of the coded values.

[3]

The median of the coded values is 20.5. Find the median mass.

[1]

Explain why the standard deviation of the coded values is smaller than 180.

[1]

Markscheme

2.2.3 Central tendency, variation and standard deviation Questions

A Level
Maths
2.2.3 Central tendency, variation and standard deviation

39 exam-style questions on AQA A Level Maths 2.2.3 Central tendency, variation and standard deviation. Each one has a worked solution and a mark scheme showing where the marks go.