Question 11 mark
The lowest overnight temperatures, in °C, on seven nights were 4, −3, 7, 0, −1, 5 and 2. What is the range?
AQA D3a, AQA E3b · Averages and spread
Range, quartiles, interquartile range and percentiles
Foundation and Higher questions. Foundation · Higher · The lesson
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Question 21 mark
Eleven students' test marks, in order, are 12, 15, 18, 18, 21, 23, 26, 27, 30, 34, 41. What is the interquartile range?
Structured question 16 marks
Commute times
A company asked 80 staff how long, in minutes, they take to travel to work. The table shows the results.
| Time (t minutes) | Frequency |
|---|---|
| 0 < t ≤ 10 | 4 |
| 10 < t ≤ 20 | 16 |
| 20 < t ≤ 30 | 28 |
| 30 < t ≤ 50 | 20 |
| 50 < t ≤ 80 | 12 |
(a) Estimate2 marks
Estimate the 10th percentile of the commute times.
minutes
(b) Estimate2 marks
Estimate the 90th percentile of the commute times.
minutes
(c) Work out1 mark
Work out an estimate of the interdecile range.
minutes
(d) Give1 mark
Give one reason the interdecile range can suit these data better than the range.
0 words
Question 31 mark
The box plots show two classes' marks out of 80 in the same test. Which statement compares the spread correctly?
Question 41 mark
A gardener measured seven sunflower seedlings, in cm: 23, 8, 15, 31, 12, 19, 27. Work out the interquartile range.
Question 51 mark
A list of 19 values is in order from smallest to largest. Which value is the upper quartile?