Question : The given histogram shows the height of the students.
The number of students whose height is in the class interval 170-175 is what per cent less than the number of students whose height is in the interval 165-170? (correct to one decimal place)
Option 1: 14.3%
Option 2: 19.5%
Option 3: 11.5%
Option 4: 17.3%
Correct Answer: 14.3%
Solution :
The number of students whose height is in the class interval 170-175 = 12
The number of students whose height is in the class interval 165-170 = 14
Required percentage = $\frac{\text{Students in the class interval 165-170 – Students in the class interval 170-175}}{\text{Students in the class interval 165-170}}\times100$
= $\frac{14 - 12}{14}\times100$
= $\frac{2}{14}\times100$
= $14.3\%$
Hence, the correct answer is 14.3%.
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