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2.2.3 Central tendency, variation and standard deviation

Question 6

The CO $_2\,$ emissions, $x\,$ g/km, of 200 cars are summarised in the table below.

CO $_2\,$ emission (g/km)	Frequency
$\le x < 160$	30
$\le x < 200$	64
$\le x < 240$	70
$\le x < 280$	26
$\le x < 320$	10

For this question, a value is defined to be an outlier if it is greater than $Q_3 + 1.5(Q_3 - Q_1)$ .

Use linear interpolation to estimate $Q_1\,$ and $Q_3$ .

[3]

Hence estimate the interquartile range, and determine whether a car with a CO $_2\,$ emission of 320 g/km would be classed as an outlier.

[2]

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 6

The CO $_2\,$ emissions, $x\,$ g/km, of 200 cars are summarised in the table below.

CO $_2\,$ emission (g/km)	Frequency
$\le x < 160$	30
$\le x < 200$	64
$\le x < 240$	70
$\le x < 280$	26
$\le x < 320$	10

For this question, a value is defined to be an outlier if it is greater than $Q_3 + 1.5(Q_3 - Q_1)$ .

Use linear interpolation to estimate $Q_1\,$ and $Q_3$ .

[3]

Hence estimate the interquartile range, and determine whether a car with a CO $_2\,$ emission of 320 g/km would be classed as an outlier.

[2]

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.