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 General Mathematics Paper 2,Nov/Dec. 2013
 Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
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Question 11

Question 11

The histogram shows the height of a group of students in a school.

1. Use the histogram to construct the frequency distribution table.
2. What percentage of the students have their heights between 159.5cm and 164.5 cm?
3. Calculate the mean height.

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Observation

This question was reported not to be attempted by majority of the candidates and majority of those who attempted it performed poorly.  They were reported not to obtain the correct frequency table.  Candidates were expected to obtain the following table:

 Class Boundary Class Interval Frequency Class Mark ( fx 144.5-149.5 145-149 0 147 0 149.5-154.5 150-154 4 152 608 154.5-159.5 155-159 7 157 1099 159.5-164.5 160-164 9 162 1458 164.5-169.5 15-169 13 167 2171 169.5-174.5 170-174 5 172 860 174.5-179.5 175-179 2 177 354 = 40 =6550
From the table, the number of students with heights between 159.5 cm and 164.5 cm = 9.  Total number of students = 40.  Therefore percentage of students with heights between 159.5 cm and 164.5 cm =  x  = 22 or 22.5%.  Mean height  =   =   =  163.5 cm