Math Problem Statement
8)Kevin asked some of his friends how many hours they had worked during the previous week at theirafter-school jobs. The results are shown below.565455985376675675686784Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 forclass 1.HoursFrequency2
Solution
To construct a frequency distribution from Kevin's data, we follow the steps given in the question: use 4 classes, a class width of 2 hours, and a lower limit of 3 for the first class.
Step 1: Organize the Data
The data set is:
- 56, 54, 55, 98, 53, 76, 67, 56, 75, 67, 56, 68, 67, 84
Step 2: Determine Class Limits
- Start with the lower limit of 3 and use a class width of 2.
- Class limits will be determined as follows:
Class | Lower Limit | Upper Limit | Class Width |
---|---|---|---|
1 | 3 | 4 | 2 |
2 | 5 | 6 | 2 |
3 | 7 | 8 | 2 |
4 | 9 | 10 | 2 |
Step 3: Frequency Distribution Table
Class Interval | Frequency |
---|---|
3 - 4 | 0 |
5 - 6 | 0 |
7 - 8 | 0 |
9 - 10 |
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Data Organization
Formulas
Class width = (Upper limit - Lower limit) / Number of classes
Theorems
-
Suitable Grade Level
Grades 9-12
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