Okay, here are the steps to construct a frequency histogram for the test score data:
1) Identify the test score ranges and number of students in each range from the table:
Test Score Num. of Students
60 - 69 12
70 - 79 18
80 - 89 20
90-99 6
2) Determine the maximum possible test score based on the ranges: 99. This will be the end point of the x-axis.
3) Decide on a suitable x-axis scale. Since the scores range from 60 to 99, and there are 40 score points in that range, a good scale would be:
x-axis: 60 65 70 75 80 85 90 95 100
4) Similarly, determine a y-axis scale based on the maximum frequency (20). A scale of 0 to 25 would be suitable.
5) Plot the frequency for each test score range on the histogram:
x-axis: 60 65 70 75 80 85 90 95 100
y-axis: 0 2 4 6 8 10 12 14 16 18 20 22 24
• A bar from 70 to 74 with a frequency of 18
• A bar from 80 to 84 with a frequency of 20
• A bar at 60 with a frequency of 12
• A bar at 99 with a frequency of 6
6) Label the x-axis "Test Score" and y-axis "Frequency".
7) Consider adding a title to the histogram such as "Frequency Distribution of Student Test Scores".
Does this help explain the steps to construct the frequency histogram for the test score data? Let me know if any part of the process is unclear or if you have any other questions!
I can also provide an example of the completed histogram if that would be helpful. Just let me know. The key ideas are:
1) Identify the score ranges and frequencies from the table
2) Determine the maximum score and suitable x-y axes scales
3) Plot the frequency for each score range on the histogram
4) Label the axes and consider adding a title
Let me know if you have any other questions! I'm happy to help further explain histograms, data visualization or any other statistics topic.