Question

10. The following frequency table shows the age distribution of a sample of 180 college students.

	Age of Students	Number of Students
	15 - 19	27
	20 - 24	45
	25 - 29	60
	30 - 34	36
	35 - 39	12

What percentage is more than 24 but younger than 35 years of age?

		78.3%
		53.3%
		96%
		60%

Answer 1

From the given table, it is clear that the number of students that are more than 24 years old and less than 35 years old fall within two intervals - 25 - 29 and 30 - 34. In 25 - 29 interval, there are 60 students and in 30 - 34 interval, there are 36 students. So, total 60 + 36 = 96 student fall in such category.

Also, total students are 27 + 45 + 60 + 36 + 12 = 180

So, percentage can be calulated as :-   Favourable/Total * 100

= (96/180) * 100 = 53.3 %

So, percentage of students with more than 24 age but younger than 35 years of age is 53.3 %

option 2.