Question : The given histogram shows the height of the students.
The number of students whose height is in the class interval 165-170 is what percentage less than the number of students whose height is in the interval 150-155? (correct to one decimal place)
Option 1: 4.8%
Option 2: 6.7%
Option 3: 1.9%
Option 4: 5.5%
Correct Answer: 6.7%
Solution : From the histogram, The number of students in the height class of 165-170 cm is 14 and in the height class of 150-155 cm is 15. Percentage difference when compared to larger value = $\left( \frac{\text{Large Value} - \text{Small Value}}{\text{Large Value}} \right) \times 100\%$ $= \left( \frac{15 - 14}{15} \right) \times 100 = 6.7\%$ Hence, the correct answer is 6.7%
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