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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

Measures of Central Tendency

Mathematics — Second Preparatory

Measures of Central Tendency

Worked examples

Worked examples

Comparison aspect	Main idea	Keywords
Example 1	Find the mean the median and the mode of the values 4	Findmeanmedianmode
Solution	The sum of the values is 37 and there are 5 values so the mean = 37 ÷ 5 = 7.4. Arranged in order: 4 so the median is the middle value 7. The mode is 7 because it occurs most often	valuesmeanArrangedorder
Example 2	Find the median of the values 3	Findmedianvalues
Solution	There are 6 values an even number so the two middle values are 8 and 10. The median = (8 + 10) ÷ 2 = 9. The mean = (3 + 5 + 8 + 10 + 12 + 15) ÷ 6 = 53 ÷ 6 ≈ 8.83	valuesevennumbermiddle
Example 3	In a frequency table the value 2 has frequency 3 the value 5 has frequency 4 the value 8 has frequency 2 and the value 10 has frequency 1. Find the mean and the median	frequencytablevalueFind

Comparison aspect	Main idea	Keywords
Solution	The sum of the frequencies = 3 + 4 + 2 + 1 = 10. The sum of (value × frequency) = 6 + 20 + 16 + 10 = 52. So the mean = 52 ÷ 10 = 5.2. For the median arrange the 10 values: 2 10. The 5th and 6th values are both 5 so the median = 5	frequenciesvaluefrequencymean
Example 4	The mean of four numbers is 6 and three of them are 5 7 and 8. Find the fourth number	meanfournumbersthree
Solution	The sum of the four numbers = 6 × 4 = 24. The sum of the three known numbers = 5 + 7 + 8 = 20. So the fourth number = 24 − 20 = 4	fournumbersthreeknown

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