Cumulative frequency Constructing a cumulative frequency table Using
Cumulative frequency • Constructing a cumulative frequency table • Using a cumulative frequency graph to construct a box and whisker diagram
A golf club has 200 members. Their ages are shown in the frequency table below. A cumulative frequency (or a “less than”) table can be drawn from this data. Age (a years) Frequency Age (a years) Cumulative frequency 0 ≤ a < 10 88 a < 10 8 10 ≤ a < 20 +26 26 a < 20 34 20 ≤ a < 30 +32 32 a < 30 66 30 ≤ a < 40 +45 45 a < 40 111 40 ≤ a < 50 +37 37 a < 50 148 50 ≤ a < 60 +29 29 a < 60 177 60 ≤ a < 70 +16 16 a < 70 193 70 ≤ a < 80 7+7 a < 80 200 How old is the youngest/oldest person?
We can now use this to draw a cumulative frequency graph. Age (a years) Cumulative frequency a < 10 8 a < 20 34 a < 30 66 a < 40 111 a < 50 148 a < 60 177 a < 70 193 a < 80 200
We can now use this to draw a cumulative frequency graph. Age (a years) Cumulative frequency a < 10 8 a < 20 34 a < 30 66 a < 40 111 a < 50 148 a < 60 177 a < 70 193 a < 80 200
Cumulative Frequency graph. We can now use this to find the following information. . Median 37 Lower quartile 25 Upper quartile 51 Lowest Value 0 Highest Value 80 Interquartile range 26 51 - 25 This information can now be used to draw a box and whisker diagram. .
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