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A group of 24 students recorded the number of books they read last month. The frequency distribution is shown in the table below.
| Number of books read | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
|---|---|---|---|---|---|---|---|
| Frequency | 2 | 3 | 5 | 6 | 4 | 3 | 1 |
It is given that the first quartile is 12 and the third quartile is 16.
The box-and-whisker plot shows the dawn temperatures, in °C, recorded at a campsite over 20 mornings. The interquartile range is .
A horticulturist measured 36 young sunflower plants. The height, , of each plant, in centimetres, is summarized in the frequency table shown.
A water-quality scientist investigated the nitrate concentration in 500 water samples collected from several river sites. The results are shown in the box-and-whisker plots below. The lower two plots represent two particular rivers, and the same number of samples was taken from each river. Water samples must contain less than 12 mg/L of nitrate to be considered acceptable. 
An investigation was carried out into the waiting times of patients at a clinic. The data from this study are represented in the cumulative frequency diagram below. 
Practice IB Mathematics Applications & Interpretation (AI) Topic SL 4.2—presentation of Data with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.2—presentation of Data and mirrors Paper 1, 2, 3 style where relevant.
Get instant solutions, detailed explanations, and build confidence with questions aligned to IB examiner expectations.
| Height, (cm) | Frequency |
|---|
| 20-30 | 4 |
| 30-40 | 7 |
| 40-50 | 14 |
| 50-60 | 7 |
| 60-70 | 4 |
the modal class in these observations.
an estimated standard deviation for the heights of the seedlings, using technology.
a histogram for the data in the table on the grid provided.
an for the number of patients whose waiting time exceeds minutes.
the th percentile of the waiting times using the provided cumulative frequency graph.
the value of .
the modal group from the table.
Employ your graphic calculator to compute an of the mean waiting time.
| 20 |
| 14 |
| 10 |
