Analysing DataAQA GCSE Maths: Subtopic test

10 questions, 26 marks

AQA GCSE Maths

Analysing Data

Total 26 marks

Name

Class

Date

1
The times (in minutes) taken by 9 runners to complete a race, listed in order, are: 18, 20, 21, 23, 24, 26, 28, 29, 35.
(a)
Find the median time.
[1 mark]
A $24$ minutes
B $23$ minutes
C $26$ minutes
D $21$ minutes
(b)
Find the range of the times.
[1 mark]
A $18$ minutes
B $16$ minutes
C $24$ minutes
D $17$ minutes
(c)
Find the interquartile range of the times.
[1 mark]
A $7.5$ minutes
B $17$ minutes
C $8$ minutes
D $8.5$ minutes
Total for question 1: 3 marks
2
A factory records the mass, in kg, of 8 packages: 2.1, 3.4, 2.8, 3.4, 4.0, 2.5, 3.4, 2.9.
(a)
Find the mode of the masses.
[2 marks]
(b)
Find the mean mass, giving your answer to 2 decimal places.
[2 marks]
Total for question 2: 4 marks
3
Two classes sat the same maths test out of 50. Class A has a median score of 32 and an interquartile range of 10. Class B has a median score of 28 and an interquartile range of 18.
(a)
Compare the two classes' average performance, using the medians.
[3 marks]
(b)
Compare the consistency of the two classes' scores, using the interquartile ranges.
[3 marks]
Total for question 3: 6 marks
4
A survey recorded the time, in minutes, spent on homework each evening by a sample of students. The results are grouped as follows: 0–20 minutes: 8 students; 20–30 minutes: 15 students; 30–50 minutes: 24 students.
(a)
A histogram is to be drawn to represent this data. Find the frequency density for each of the three class intervals.
[4 marks]
(b)
Estimate the number of students who spent between 20 and 40 minutes on homework.
[4 marks]
(c)
Given that there are 47 students in total in the sample, and the school's guideline is at least 30 minutes of homework each evening, find an estimate for the percentage of students who spent less than the recommended guideline, giving your answer to 1 decimal place.
[5 marks]
Total for question 4: 13 marks

End of questions