Question 1: The histogram shows the number of books read by students in a month. If the interval 4-6 has a height of 12 and the width of each bar is 2, find the frequency of students who read between 4 and 6 books.

Answer: 12

Question 2: A histogram displays the ages of participants in a survey. The interval 10-15 has a height of 8, and the bar width is 1.5. Calculate the number of participants in this age group.

Answer: 12

Question 3: A histogram shows the time taken by students to complete a test. The bar for 20-30 minutes has a height of 15, and each unit height represents 3 students. What is the frequency of students who took between 20 and 30 minutes?

Answer: 45

Question 4: Construct a histogram bar for the interval 30-40 minutes if 18 students are in this group, and each unit height in your grid represents 2 students. What should the height of the bar be?

Answer: 9

Question 5: If the total number of students surveyed is 120, and the frequencies for the intervals 0-10, 10-20, and 20-30 are 20, 40, and 30 respectively, what is the frequency for the interval 30-40?

Answer: 30

Question 6: A histogram shows the number of hours students spend on homework each week. The interval 5-10 hours has a height of 10, and the bar width is 2. Determine the actual frequency of students in this interval.

Answer: 20

Question 7: A histogram of exam scores has a bar for scores 50-60 with a height of 9, where each unit height equals 4 students. How many students scored between 50 and 60?

Answer: 36

Question 8: In a histogram showing weekly sales, the interval 100-200 units has a height of 14, with each unit height representing 5 sales. Find the total sales for this interval.

Answer: 70

Question 9: A histogram displays the number of cars passing a toll booth each hour. The interval 8-9 am has a height of 11, with each height unit representing 2 cars. What is the frequency of cars passing between 8 and 9 am?

Answer: 22

Question 10: Given the histogram data: interval 0-5 has height 6, 5-10 has height 9, 10-15 has height 12, and 15-20 has height 15. All bars have a width of 1. What is the total number of data points represented?

Answer: 42

Question 11: A student notices that in a histogram, the bar for 10-20 has a height of 20 units, but they mistakenly interpret it as 200 students. Identify and correct this common mistake.

Answer: The height of 20 units, with each unit representing a certain number of students, means the actual frequency is 20 times the unit value, not 200 students unless the scale specifies so.

Question 12: A histogram shows the number of hours spent on a task, with the bar for 15-20 hours having a height of 12. Each unit height equals 3 students. If a new student reports spending 17 hours, how does this affect the frequency count?

Answer: It adds 1 to the frequency for the 15-20 hours interval, increasing the total count by 3 students.