Concept:The average height of a section is the total of all heights divided by the number of students in that section.
Explanation:First calculate the total height for Section A.
Multiply each height by its frequency and add:
1.50×5=7.501.65×9=14.851.52×11=16.721.55×14=21.701.78×6=10.681.77×7=12.391.70×4=6.80Total height =
7.50+14.85+16.72+21.70+10.68+12.39+6.80=90.64 metres.
Total students in Section A =
5+9+11+14+6+7+4=56.
Average height of Section A =
90.64÷56≈1.6186 metres.
Now compute for Section B.
Total height:
1.50×4=6.001.65×8=13.201.52×13=19.761.55×10=15.501.78×7=12.461.77×5=8.851.70×3=5.10Sum =
6.00+13.20+19.76+15.50+12.46+8.85+5.10=80.87 metres.
Total students in Section B =
4+8+13+10+7+5+3=50.
Average height of Section B =
80.87÷50=1.6174 metres.
Since
1.6186>1.6174, Section A has the higher average height.
Answer:A