Question

eating at fast food restaurants a survey was taken of 40 individuals. they were asked how many days per week they ate at a fast - food restaurant.
construct a frequency distribution using 8 classes (0 - 7).
class limits class boundaries frequency
0 - 0.5 - 0.5 - 0.5
1 - 1.5 - 0.5 - 1.5
2 - 2.5 - 1.5 - 2.5
3 - 3.5 - 2.5 - 3.5
4 - 4.5 - 3.5 - 4.5
5 - 5.5 - 4.5 - 5.5
6 - 6.5 - 5.5 - 6.5
7 - 7.5 - 6.5 - 7.5

Explanation:

Step1: Determine the class limits

The class limits are given as \(0 - 1\), \(2 - 3\), \(4 - 5\), \(6 - 7\).

Step2: Count the frequencies

• For the class \(0 - 1\): Count the number of values \(0\) and \(1\) in the data set. There are \(5\) values (\(0,1,0,1,0\)).
• For the class \(2 - 3\): Count the number of values \(2\) and \(3\) in the data set. There are \(20\) values.
• For the class \(4 - 5\): Count the number of values \(4\) and \(5\) in the data set. There are \(12\) values.
• For the class \(6 - 7\): Count the number of values \(6\) and \(7\) in the data set. There are \(3\) values.

Answer:

Class limits	Class boundaries	Frequency
\(2 - 3\)	\(1.5 - 3.5\)	\(20\)
\(4 - 5\)	\(3.5 - 5.5\)	\(12\)
\(6 - 7\)	\(5.5 - 7.5\)	\(3\)