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:
ClassLower LimitUpper LimitClass Width
1342
2562
3782
49102

Step 3: Frequency Distribution Table

Class IntervalFrequency
3 - 40
5 - 60
7 - 80
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

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Suitable Grade Level

Grades 9-12