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2.2.3 Central tendency, variation and standard deviation

Question 4

The CO $_2\,$ emissions, $x\,$ g/km, of 200 cars are summarised in the table below, where $p\,$ and $q\,$ are positive integers.

CO $_2\,$ emission (g/km)	Frequency
$\le x < 140$	24
$\le x < 180$	60
$\le x < 220$	$p$
$\le x < 260$	$q$
$\le x < 300$	16

Using the class midpoints, the estimated mean CO $_2\,$ emission is exactly 190 g/km.

Find the value of $p\,$ and the value of $q$ .

[4]

Use linear interpolation to estimate the median CO $_2\,$ emission.

[3]

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

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2.2.3 Central tendency, variation and standard deviation

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Question 4

The CO $_2\,$ emissions, $x\,$ g/km, of 200 cars are summarised in the table below, where $p\,$ and $q\,$ are positive integers.

CO $_2\,$ emission (g/km)	Frequency
$\le x < 140$	24
$\le x < 180$	60
$\le x < 220$	$p$
$\le x < 260$	$q$
$\le x < 300$	16

Using the class midpoints, the estimated mean CO $_2\,$ emission is exactly 190 g/km.

Find the value of $p\,$ and the value of $q$ .

[4]

Use linear interpolation to estimate the median CO $_2\,$ emission.

[3]

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.