The distance of a student’s home from college, correct to the nearest kilometre, was recorded for each of 55 students. The distances are summarised in the following table. Distance from college (km) 1 – 3 4 – 5 6 – 8 9 – 11 12 – 16 --- --- --- --- --- --- Number of students 18 13 8 12 4 Dominic is asked to draw a histogram to illustrate the data. Dominic’s diagram is shown below. Give two reasons why this is not a correct histogram.

Mathematics 9709/63 — October/November 2013

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

questions

marks

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Topics Discrete Random Variables · Representation of Data · The Normal Distribution · Permutations and Combinations · Probability

Q12MRepresentation of DataFree sample

The distance of a student’s home from college, correct to the nearest kilometre, was recorded for each of 55 students. The distances are summarised in the following table.

Distance from college (km)	1 – 3	4 – 5	6 – 8	9 – 11	12 – 16
Number of students	18	13	8	12	4

Dominic is asked to draw a histogram to illustrate the data. Dominic’s diagram is shown below.

Histogram 1

Give two reasons why this is not a correct histogram.

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6 more questions

Q2The Normal Distribution · Discrete Random Variables5M
Q3Discrete Random Variables6M
Q4Representation of Data7M
Q5The Normal Distribution7M
Q6Permutations and Combinations10M
Q7Probability · Discrete Random Variables13M

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