Question 1: Calculate the frequency density for the gaming session durations classified as 0–2 hours (width 2 hours) with 50 sessions recorded.

Answer: 25

Question 2: A histogram shows the number of downloads per week in different ranges. If the class width is 1 GB for 0–1 GB with 120 downloads, find the frequency density.

Answer: 120

Question 3: A histogram depicts the number of hours gamers spend online per day with unequal intervals. The interval 3–5 hours (width 2 hours) has a frequency of 80. What is the frequency density?

Answer: 40

Question 4: In a histogram of gaming console sales, the class 10–15 units (width 5 units) has a frequency of 150. Calculate its frequency density.

Answer: 30

Question 5: Construct a histogram with the following data: Class widths are 1, 2, and 3 units, with frequencies 60, 90, and 45 respectively. Show the relative heights based on frequency density.

Answer: Frequency densities are 60, 45, and 15 respectively.

Question 6: Explain why frequency density is useful when class intervals are of unequal widths, especially in analyzing gaming data.

Answer: Frequency density normalizes data, allowing for accurate comparison between classes of different widths, which is crucial in understanding gaming session durations with varied time ranges.

Question 7: A histogram shows the number of software downloads in various size ranges. The class 20–35 MB (width 15 MB) has a frequency of 300. Find the frequency density and interpret what it indicates about download sizes.

Answer: Frequency density = 20; indicates a high concentration of downloads in that size range relative to class width.

Question 8: Given a histogram with unequal class widths, if the class 5–10 hours (width 5 hours) has a frequency of 75, what is its frequency density?

Answer: 15

Question 9: A histogram displays the number of gaming devices sold per month over different sales brackets. If the class 50–80 units (width 30 units) has a frequency of 240, calculate the frequency density.

Answer: 8

Question 10: Suppose a histogram shows that the class 0–4 hours (width 4 hours) has a frequency of 80, and the class 4–10 hours (width 6 hours) has a frequency of 120. Calculate the frequency densities and compare the distribution of gaming times.

Answer: First class density: 20; second class density: 20; both classes have equal density, indicating similar concentration despite different widths.

Question 11: Identify and correct the mistake in this calculation: A class width of 10 hours with 100 sessions recorded is assigned a frequency density of 0.1.

Answer: Correct calculation: 100 ÷ 10 = 10; frequency density should be 10, not 0.1.