Math Problem Statement
Mr. Robinson gave his students a biology test last week. Here are the test scores for each of the eighteen students. Test scores (a)Complete the grouped frequency distribution for the data. (Note that the class width is .) Test scores Frequency to
to to
Solution
To create a grouped frequency distribution, we first need the test scores and a class width to organize them into intervals. Since you've mentioned test scores but haven't provided them or the class width, I will outline the steps you'll follow to complete the grouped frequency distribution. Once you provide the actual test scores and the class width, I can help you finalize the table.
Steps to complete the grouped frequency distribution:
-
Step 1: Organize the Scores
Gather all the test scores and sort them in ascending order. This makes it easier to group them into intervals. -
Step 2: Choose Class Intervals
The class width, which defines the range of each group, is a key component. You mentioned that the class width is not specified yet. Let’s assume it, or you can specify it.- For example, if the class width is 10 and the scores range from 50 to 100, your groups might look like:
- 50 to 59
- 60 to 69
- 70 to 79
- 80 to 89
- 90 to 99
- For example, if the class width is 10 and the scores range from 50 to 100, your groups might look like:
-
Step 3: Tally the Scores
Count how many scores fall into each group (class). This will give you the frequency.
Example: Grouped Frequency Distribution Table (assuming class width is 10)
Test Scores | Frequency |
---|---|
50 to 59 | |
60 to 69 | |
70 to 79 | |
80 to 89 | |
90 to 99 |
Once you provide the actual scores and class width, I'll help you complete the table.
Would you like to share the scores and the class width? Let me know if you have any questions.
Follow-up questions:
- What is the range of test scores in the data?
- How many intervals would you like to create?
- Should we round the test scores to the nearest whole number if necessary?
- Do you want to calculate the cumulative frequency as well?
- Would you like help creating a histogram or graph for this data?
Tip: The class width is calculated by dividing the range (difference between highest and lowest values) by the number of intervals you want.
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Math Problem Analysis
Mathematical Concepts
Statistics
Grouped Frequency Distribution
Formulas
Class Width = (Range / Number of Intervals)
Frequency = Number of data points in each class interval
Theorems
-
Suitable Grade Level
Grades 8-10
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