Question

answer the following questions based on the histogram on the right.

1. what is the title of the histogram?
2. how many students spent more than 5 hours playing sports each week?
3. how many students spent less than 5 hours playing sports each week?
4. what is the most common number of hours spent playing sports each week?
5. create a histogram based on the data - set below after creating a tally sheet, also called a frequency table.

interval tally frequency

Explanation:

Step1: Identify the intervals and frequencies from the histogram

The intervals are 0 - 2, 3 - 5, 6 - 8 with frequencies 6, 8, 5 respectively.

Step2: Answer question 1 - Define the data

The data is about the number of hours students spend playing sports weekly.

Step3: Answer question 2 - Count students with more than 5 hours

The intervals 6 - 8 has 5 students. So 5 students spent more than 5 hours playing sports each week.

Step4: Answer question 3 - Count students with less than 5 hours

The interval 0 - 2 has 6 students and 3 - 5 has 8 students. So \(6 + 8=14\) students spent less than 5 hours playing sports each week.

Step5: Answer question 4 - Find the most common interval

The interval 3 - 5 has the highest frequency (8), so the most common number of hours is in the 3 - 5 hours range.

Step6: Regarding question 5 - Since no data - set is provided for the new histogram, we can't create it. But the general steps are:

1. Create a tally sheet with intervals.
2. Tally the data values into the appropriate intervals.
3. Count the tallies to get the frequencies.
4. Use the intervals on the x - axis and frequencies on the y - axis to draw the histogram.

Answer:

1. The data is about weekly hours students spend playing sports.
2. 5 students
3. 14 students
4. 3 - 5 hours range
5. Can't be created without a data - set.