Course home

2.2.3 Central tendency, variation and standard deviation

Question 8

The distances travelled by 100 people to an event, recorded to the nearest mile, are summarised in the table below.

Distance (nearest mile)	Frequency
0–9	4
10–19	19
20–29	41
30–39	26
40–49	9
50–59	1

You may use $∑fx=2650\sum fx = 2650$ and $425\sum fx^2 = 80\,425$ , where the values of $x\,$ are the class midpoints.

Use linear interpolation to estimate the median distance.

[2]

Estimate the mean distance.

[2]

Estimate the standard deviation of the distances.

[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

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 8

The distances travelled by 100 people to an event, recorded to the nearest mile, are summarised in the table below.

Distance (nearest mile)	Frequency
0–9	4
10–19	19
20–29	41
30–39	26
40–49	9
50–59	1

You may use $∑fx=2650\sum fx = 2650$ and $425\sum fx^2 = 80\,425$ , where the values of $x\,$ are the class midpoints.

Use linear interpolation to estimate the median distance.

[2]

Estimate the mean distance.

[2]

Estimate the standard deviation of the distances.

[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.