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Statistics and Probability

Quick questions on Cumulative frequency and quartiles explained: O-Level E-Maths

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is cumulative frequency?
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Cumulative frequency is a running total of the frequencies, the number of values up to and including the upper boundary of each class. You build it by adding each class frequency to the sum of all the earlier ones, so the final cumulative frequency equals the total number of values.
What is the cumulative frequency curve?
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Plot the cumulative frequency against the upper class boundary and join the points with a smooth curve. The result is an S-shaped (ogive) curve that rises from zero to the total frequency, and reading across and down from it estimates positions in the data.
What is q1?
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State the cumulative frequency position for the median of 160160 values. [1 mark]
What is q2?
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The lower quartile is 2222 and the upper quartile is 3535. Find the interquartile range. [1 mark]
What is q3?
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For 240240 values, state the position used to read the upper quartile. [1 mark]

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