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Published byCalvin Nichols Modified over 8 years ago

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Cumulative frequency Constructing a cumulative frequency table Using a cumulative frequency graph to construct a box and whisker diagram

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A golf club has 200 members. Their ages are shown in the frequency table below. Age (a years)Frequency 0 ≤ a < 108 10 ≤ a < 2026 20 ≤ a < 3032 30 ≤ a < 4045 40 ≤ a < 5037 50 ≤ a < 6029 60 ≤ a < 7016 70 ≤ a < 807 8 +26 +32 +45 +37 +29 +16 +7 Age (a years)Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 8 34 66 111 148 177 193 200 A cumulative frequency (or a “less than”) table can be drawn from this data. How old is the youngest/oldest person?

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Age (a years) Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 8 34 66 111 148 177 193 200 10 20 30 40 50 60 70 80 8 34 66 111 148 177 193 200 We can now use this to draw a cumulative frequency graph.

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Age (a years) Cumulative frequency a < 10 a < 20 a < 30 a < 40 a < 50 a < 60 a < 70 a < 80 8 34 66 111 148 177 193 200 We can now use this to draw a cumulative frequency graph.

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Cumulative Frequency graph. We can now use this to find the following information.. Median Lower quartile Upper quartile Lowest Value Highest Value 37 25 51 0 This information can now be used to draw a box and whisker diagram.. 80 Interquartile range 51 - 25 26

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