Question : Direction: Study the table and answer the question.
The average height (in cm) of the girls whose heights are 155 cm and above is about:
Option 1: 158.7
Option 2: 159.8
Option 3: 160.4
Option 4: 162.6
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Correct Answer: 159.8
Solution : As per the given table, There are 40 girls with a height of less than 155 cm. The number of girls with a height of 155 cm and above = 51 – 40 = 11 Assuming that the heights of the girls are uniformly distributed in each interval. We can estimate the average height of these 11 girls. 6 girls are in the interval 155 cm to 160 cm. $\therefore$ The average height in this interval = $\frac{155 + 160}{2}$ = 157.5 cm 5 girls are in the interval 160 cm to 165 cm. $\therefore$ The average height in this interval = $\frac{160 + 165}{2}$ = 162.5 cm The average height of the girls whose heights are 155 cm and above = $\frac{6 × 157.5 + 5×162.5}{11}$ = 159.8 cm Hence, the correct answer is 159.8.
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