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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