Unit 4: Statistics and Probability
Topic 4.2: Measures of Central Tendency Questions
Practice 20 exam-style questions for IB Math AI SL Topic 4.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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A histogram has 4 bars with frequencies 6, 10, 8, 4 (all equal class width 5). Find the total frequency and the modal class.
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Use a GDC to find Q1, median, and Q3 for: 14, 18, 21, 22, 25, 27, 29, 31, 33, 38.
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A histogram has unequal class widths. Class [0,10) has frequency 30; class [10,30) has frequency 40. Find the frequency density of each.
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State what is plotted on the y-axis of a histogram when class widths are unequal.
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Find the five-number summary for the dataset: 3, 6, 7, 8, 9, 11, 12, 15, 18.
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Find the five-number summary: 2, 4, 5, 7, 8, 10, 12, 14.
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In a grouped table with class width 20, the third class is [40,60). State its lower boundary, upper boundary, and midpoint.
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A class records the number of pets each student has: 0, 1, 1, 2, 0, 3, 1, 2, 0, 1, 2, 4, 1, 0. Construct an ungrouped frequency table.
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For raw data 12, 14, 16, 18, 20, 22, 24, 14, 16, 18, 22, 24, 26, 18, 20, build an ungrouped frequency table and find the modal value.
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A grouped table has class boundaries 0, 10, 20, 30 with frequencies 6, 14, 10. Find the midpoint of each class.
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A grouped table has cumulative frequencies 4, 11, 18, 25, 30 for 5 consecutive classes. Find the frequency in the third class.
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Construct cumulative frequency values from class frequencies 7, 13, 22, 15, 8.
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A frequency table has class [10,20) with f = 8 and total n = 40. Find the relative frequency for this class.
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Why must class intervals in a grouped table be non-overlapping?
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A frequency table has total n = 50. Relative frequencies of three classes are 0.20, 0.30, 0.10. Find the actual frequency of each.
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From a cumulative frequency table with values 8, 22, 41, 50 (for 4 consecutive classes), find the individual class frequencies.
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Frequencies for 4 classes are 5, 12, 18, 7. Compute the cumulative frequencies.
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State two differences between a histogram and a bar chart.
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A class has width 5 and frequency 20. Find the frequency density.
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For dataset 5, 8, 8, 10, 12, 14, 14, 15, 18, 20, find Q1, median, Q3, and IQR.
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