Q: If you want to estimate the percentage of students who have between 14.5 and 29.5 hours of leisure time, which calculation is most appropriate?

$$ \frac{70 - 10}{80} \times 100 $$

Q: If the ogive shows that 80 students were surveyed, and 70 students have less than 34.5 hours of leisure time, what percentage of students have at least 34.5 hours?

$$ \frac{10}{80} \times 100 = 12.5\% $$

Question 1

Given the ogive graph titled 'Leisure Time of College Students,' what is the approximate total sample size represented by the data?

Accepted Answer

80

Question 2

Based on the ogive, approximately how many students reported having 24.5 hours or less of leisure time?

Accepted Answer

About 65

Question 3

If you want to estimate the percentage of students who have between 14.5 and 29.5 hours of leisure time, which calculation is most appropriate?

Accepted Answer

$$ \frac{70 - 10}{80} 	imes 100 $$

Question 4

What does the steepest part of the ogive indicate about the distribution of leisure time among students?

Accepted Answer

There is a rapid increase in the number of students within that range of leisure hours.

Question 5

If the cumulative frequency at 29.5 hours is 75 and at 19.5 hours is 35, how many students have between 19.5 and 29.5 hours of leisure time?

Accepted Answer

$$ 75 - 35 = 40 $$

Question 6

Suppose you want to find the median number of leisure hours. Which cumulative frequency value should you look for on the ogive?

Accepted Answer

The value at half the maximum cumulative frequency

Question 7

If 10 students have less than 14.5 hours of leisure time, what is the probability that a randomly selected student from the sample has less than 14.5 hours?

Accepted Answer

$$ \frac{10}{80} $$

Question 8

Which of the following best describes the cumulative frequency curve shown in the ogive?

Accepted Answer

It is always increasing or stays constant.

Question 9

If the ogive shows that 80 students were surveyed, and 70 students have less than 34.5 hours of leisure time, what percentage of students have at least 34.5 hours?

Accepted Answer

$$ \frac{10}{80} 	imes 100 = 12.5\% $$

Question 10

What is the main advantage of using an ogive to represent data such as leisure time of students?

Accepted Answer

It allows for easy determination of medians, quartiles, and percentiles.

Using an Ogive to Estimate Sample Size

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