Curriculum

Course: Mathematics — Second Preparatory

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Curriculum

Mathematics — Second Preparatory

Unit 1: Real Numbers

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Unit 2: Algebra

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Unit 3: Geometry

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Unit 4: Statistics

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Text lesson

Ascending Cumulative Frequency Table

Mathematics — Second Preparatory

Ascending Cumulative Frequency Table

Worked examples

Worked examples

Comparison aspect	Main idea	Keywords
Example 1	Build the ascending cumulative frequency table for the data whose classes run from 0 to 50 with frequencies 4 5 and 3	Buildascendingcumulativefrequency
Solution	The running totals are: 4 then 4 + 6 = 10 then 10 + 10 = 20 then 20 + 5 = 25 then 25 + 3 = 28. They are shown in the table above	runningtotalsthenshown
Example 2	From the ascending cumulative table find the number of values less than 30 then the percentage of these values out of all the values	ascendingcumulativetablefind
Solution	The number of values less than 30 is 20. The percentage = 20 ÷ 28 × 100 ≈ 71.4%	numbervalueslesspercentage
Example 3	Find the number of values that are not less than 30	Findnumbervaluesless
Solution	The total number of values is 28 and 20 of them are less than 30. So the number of values that are not less than 30 is 28 − 20 = 8. Check: the frequencies 5 + 3 = 8	totalnumbervaluesthem

Comparison aspect	Main idea	Keywords
Example 4	Find the class that contains the 14th value in order. This value is used to find the median	Findclasscontains14th
Solution	The 14th position lies between the cumulative frequency 10 (less than 20) and the cumulative frequency 20 (less than 30). So it lies in the class from 20 to less than 30	14thpositionliesbetween

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