Curriculum

Course: Mathematics — First Preparatory

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Curriculum

Mathematics — First Preparatory

Unit 1: Numbers

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Unit 2: Algebra

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Unit 3: Statistics

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Unit 4: Geometry

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Text lesson

Organizing Data

Mathematics — First Preparatory

Organizing Data

Worked examples

Worked examples

Comparison aspect	Main idea	Keywords
Example 1	The scores of 12 pupils in a test out of 5 were: 3 4. Make a frequency table	scorespupilstestwere
Solution	Count each value with tally marks: the score 2 has frequency 2 the score 3 has frequency 3 the score 4 has frequency 4 and the score 5 has frequency 3. The total of the frequencies is 2 + 3 + 4 + 3 = 12 which is the number of pupils	Countvaluetallymarks
Example 2	The heights of 10 pupils in centimetres are: 142 150 138 155 147 160 152 141 158 149. Make a frequency table with classes of width 10 cm	heightspupilscentimetresMake
Solution	The classes are 130 – less than 140 140 – less than 150 150 – less than 160 and 160 – less than 170. The first class has 1 height (138) the second has 4 (142 147 141 149) the third has 4 (150 155 152 158) and the fourth has 1 (160). The total of the frequencies is 1 + 4 + 4 + 1 = 10	classeslessfirstclass

Comparison aspect	Main idea	Keywords
Example 3	Using the table in Example 1 find the percentage of pupils who scored 5	Usingtablefindpercentage
Solution	Three pupils out of 12 scored 5. The percentage is 3/12 = 1/4 = 25%	Threepupilsscoredpercentage
Example 4	Using the same table how many pupils scored at least 4?	Usingsametablemany
Solution	The scores 4 and 5 satisfy the condition. Their frequencies add to 4 + 3 = 7 pupils	scoressatisfyconditionfrequencies
Example 5 (the hardest)	In the heights example which class contains the largest number of pupils?	heightsclasscontainslargest
Solution	The two classes 140 – less than 150 and 150 – less than 160 each have a frequency of 4 so they share the largest frequency. We must state both because the table has two equal classes	classeslessfrequencyshare

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