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The table summarises the daily exercise times of students.
| Time (t minutes) | 0 < t ≤ 15 | 15 < t ≤ 30 | 30 < t ≤ 45 | 45 < t ≤ 60 | 60 < t ≤ 75 | 75 < t ≤ 90 |
|---|---|---|---|---|---|---|
| Frequency | 18 | 25 | 32 | 15 | 8 | 2 |
students took a standardized test scored from to points. The frequency distribution of their scores is given below.
A group of 51 students is playing hide and seek, with 1 student chosen as the seeker. The remaining 50 students hide up to 150 metres away. Their hiding distances are summarized in the table.
36 participants attempted a timed puzzle, with a maximum allowed time of 30 minutes. The grouped distribution of their completion times is given below.
The data set of test scores ranging from to is .
Practice IB Mathematics Analysis and Approaches (AA) Topic SL 4.1—concepts, Reliability and Sampling Techniques with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.1—concepts, Reliability and Sampling Techniques and mirrors Paper 1, 2, 3 style where relevant.
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| Class Interval | Frequency (f) |
|---|
| 35 – 40 | 8 |
| 40 – 45 | 12 |
| 45 – 50 | 10 |
| 50 – 55 | 6 |
| 55 – 60 | 4 |
the mean score of the students.
a histogram representing the frequency distribution of the test scores.
| Class Interval | Frequency (f) |
|---|
| 0 – 30 | 10 |
| 30 – 60 | 15 |
| 60 – 90 | 11 |
| 90 – 120 | 8 |
| 120 – 150 | 6 |
the mean distance of the hidden students.
The seeker must catch an equal number of students from every class interval. A student who is caught leaves the game. The seeker catches students from each interval so that the mean distance of the students remaining in the game is 57. Find .
| Time (minutes) | Frequency (f) |
|---|
| 8–12 | 4 |
| 12–16 | 8 |
| 16–20 | 12 |
| 20–24 | 8 |
| 24–28 | 4 |
the mean completion time.
a histogram representing the frequency distribution of the completion times.
