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Maths I

# General example

## Example - 2009, Paper 2, Question 7

Question

Last week Theresa asked 76 students to record how many hours they spent doing their homework. The results are shown below.

Homework hoursFrequencyHomework hours x frequency
116
212
318
411
58
66
75
Total = 76Total =

Complete the table and find the mean time spent on homework last week. Round your answer to 1 decimal place.

• Interpret: this is a standard KU mean from a frequency table question.
• Select: the solution requires the extension of a frequency table and the calculation of the mean from the column totals.
• Implement and communicate: see the solution below.

Calculate homework hours x frequency column

• 16, 24, 54, 44, 40, 36, 35 (1 mark KU)

Add homework hours x frequency column

• 249 (1 mark KU)

Correctly divide answer to above by 76

• mean = 249 ÷ 76 = 3.2763 (1 mark KU)

Correct rounding

• 3.3 hrs (1 mark KU)

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