A Level Mathematics Questionbanks



1. A group of 13 students sat a test in numeracy. Their marks out of a possible score of 50 were

20, 45, 25, 37, 45, 22, 36, 45, 41, 50, 38, 9, 29

Determine

a) the mode

[1]

b) the median

[2]

c) the interquartile range

[4]

d) Hence comment on the skewness of the distribution of the marks, explaining how you arrived at your answer.

[2]

2. A local parcel delivery service sets out the number of orders received each week over a 52 week period.

|Number of orders received |30 |31 |32 |33 |34 |35 |36 |37 |38 |39 |

|Number of weeks |2 |3 |4 |3 |10 |6 |8 |5 |5 |6 |

a) Find the median and inter-quartile range of this data

[7]

b) Given Σfx = 1827 and Σfx2 = 64514, find the mean and standard deviation of this data

[3]

c) Explain why the mean and standard deviation are not always the best measures of location and spread to

use, and comment on their suitability in this case.

[2]

d) Draw a box plot to represent this data

[3]

e) Comment on the distribution of the orders received

[2]

3. The following table shows the marks obtained in a test by a class of children.

|Mark (x) |0(x ................
................

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