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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Why must class intervals in a grouped table be non-overlapping?
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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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Frequencies for 4 classes are 5, 12, 18, 7. Compute the cumulative frequencies.
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State the percentage of data that lies BELOW Q1.
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A dataset has Q1 = 12, Q3 = 28. State BOTH outlier fences.
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Box plot: min = 5, Q1 = 12, median = 18, Q3 = 25, max = 40. State the percentage of data below 12 and above 25.
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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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From a box plot: Q1 = 40, median = 55, Q3 = 65. What proportion of data lies between 40 and 65?
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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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Find the five-number summary for the dataset: 3, 6, 7, 8, 9, 11, 12, 15, 18.
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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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A box plot has Q1 = 25, median = 35, Q3 = 45. Comment on symmetry.
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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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Find the five-number summary: 2, 4, 5, 7, 8, 10, 12, 14.
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Compute the median of the dataset 4, 7, 9, 11, 11, 13, 15.
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Construct cumulative frequency values from class frequencies 7, 13, 22, 15, 8.
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A box plot shows Q1 = 18, median = 22, Q3 = 30. Estimate the percentage of data above 30.
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From a box plot of test scores: Q1 = 55, Q3 = 78. How many of the 80 students scored between Q1 and Q3?
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Calculate the upper outlier fence for a dataset with Q1 = 10 and Q3 = 26.
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State the steps to construct a box plot from a five-number summary.
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