Question

i) Find the percentage of people in the height range of 149.5 -159.5cm.

ii) Find the percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm.

• A. 30 , 16.66 %
• B. 20 , 6.66%
• C. 20 , 16.66 %
• D. 30 , 6.66 %

Answer 1

The correct option is D

30 , 6.66 %

i) Total number of people in the height range 149.5 – 159.5 cm $=9$

Total number of people in the entire height range $=30$

Percentage of people in the height range 149.5 – 159.5 cm
$=\frac{9}{30}\times 100=30$%

ii) Number of people in the height group 159.5-169.5 cm $=7$

Number of people in the height group 169.5-179.5 cm $=5$

difference between height group 159.5 – 169.5cm and 169.5 – 179.5cm $=7-5=2$

Percentage difference between height group 159.5 – 169.5 cm and 169.5 – 179.5 cm
$=\frac{2}{30}\times 100=6.66$%