Unit 4: Statistics and Probability
Topic 4.3: Measures of Spread and Outliers Questions
Practice 20 exam-style questions for IB Math AI SL Topic 4.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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A survey records favourite colour: red 25, blue 38, green 17, yellow 12, purple 8. Find the mode.
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Find the median of: 4, 8, 12, 16, 20, 24.
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Find the median of: 22, 19, 30, 18, 25, 27, 24.
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The mean of 5 numbers is 18. Four of them are 12, 15, 20, 22. Find the fifth number.
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For the frequency table: x = 1, 2, 3, 4, 5 with frequencies 2, 5, 8, 4, 1. Find the mean.
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The mean of 6 numbers is 14. Find the sum of the 6 numbers.
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Find the median of: 5, 12, 8, 14, 9, 17, 3, 11.
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Find the mean of: 12, 15, 18, 22, 25, 28, 30.
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Find the mode of: 12, 15, 18, 12, 20, 22, 12, 25.
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A teacher adds 5 marks to every student''s test score. If the original mean was 64, find the new mean.
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A teacher multiplies every score by 1.2 (a 20% boost). If the original mean was 50, find the new mean.
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A frequency table records weekly hours of study: 2 hours: 5 students; 3 hours: 8 students; 4 hours: 10 students; 5 hours: 4 students; 6 hours: 3 students. Calculate the mean hours of study.
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The mean of 10 numbers is 25. If a number 35 is added to the dataset, find the new mean.
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A dataset has mean 20 with n = 8. Find the new mean if the value 30 is REMOVED.
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A small dataset 4, 6, 8, 10, x has mean 9. Find x.
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Test scores in a small class: 65, 72, 65, 80, 65, 72, 80, 65, 88, 72. Find the mode.
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