Question

1. the table shows the results of asking a group of teachers the question how many students are in your homeroom?. construct a histogram to represent the data. (example 2) homeroom class size 17 26 20 23 19 23 22 22 24 19 20 21 20 23

Explanation:

Step1: Sort the data values

Sorted data: 17, 19, 19, 20, 20, 20, 21, 22, 22, 23, 23, 23, 24, 26

Step2: Choose equal class intervals

Class intervals (width 3): 17-19, 20-22, 23-25, 26-28

Step3: Tally frequencies per interval

• 17-19: 17,19,19 → Frequency = 3
• 20-22: 20,20,20,21,22,22 → Frequency = 6
• 23-25: 23,23,23,24 → Frequency = 4
• 26-28: 26 → Frequency = 1

Step4: Define histogram axes

X-axis: Homeroom Class Size (intervals), Y-axis: Frequency

Answer:

Homeroom Class Size Interval	Frequency
20-22	6
23-25	4
26-28	1

To draw the histogram:

1. Mark the x-axis with the intervals 17-19, 20-22, 23-25, 26-28.
2. Mark the y-axis with frequency values from 0 to 6.
3. Draw a bar for each interval with height equal to its corresponding frequency (3, 6, 4, 1 respectively), with no gaps between bars.