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2.2.3 Central tendency, variation and standard deviation

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Question 3

Ten values have mean 10. Nine of the values are

$5,\ 7,\ 8,\ 8,\ 9,\ 11,\ 12,\ 14,\ 15\,$

For this question, a value is defined to be an outlier if it is more than two standard deviations from the mean.

Find the tenth value.

[2]

Show that the standard deviation of the ten values is exactly 3.

[3]

Find, using set notation, the set of values that would be classed as outliers for this data set.

[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

Question 3

Ten values have mean 10. Nine of the values are

$5,\ 7,\ 8,\ 8,\ 9,\ 11,\ 12,\ 14,\ 15\,$

For this question, a value is defined to be an outlier if it is more than two standard deviations from the mean.

Find the tenth value.

[2]

Show that the standard deviation of the ten values is exactly 3.

[3]

Find, using set notation, the set of values that would be classed as outliers for this data set.

[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.