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A statistical investigation was conducted in Melbourne to compare the heights of Year 7 students in two schools. The heights (in centimetres) of 10 students from School A were: 152, 155, 150, 153, 154, 156, 151, 152, 155, 153.
Calculate the exact median height of the students in School A. Express your answer as a single integer or simplified fraction.
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Worked solution
- List the heights of 10 students from School A in ascending order: 150, 151, 152, 152, 153, 153, 154, 155, 155, 156.
- There are 10 data values, which is an even number, so the median is the average of the 5th and 6th values in the ordered list.
- Identify the 5th value: 153 cm.
- Identify the 6th value: 153 cm.
- Calculate the average of the 5th and 6th values: (153 + 153) / 2.
- Add the two values: 153 + 153 = 306.
- Divide the sum by 2: 306 / 2 = 153.
- The result is 153 cm, which is an integer and does not require further simplification.
Reference answer: 153
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