Relative and Cumulative Frequency

The owner of a fast-food restaurant ascertains the ages of a sample of customers. From these data,

the owner constructs the frequency distribution shown. For each class interval of the frequency distribution,

determine the class midpoint, relative frequency and cumulative frequency.

What does the relative frequency tell the fast-food restaurant owner about customer ages?

Solution

Class Mid Point: It is the average of class starting value and end value

Example: for (0,5] class — (0+5)/ 2 = 2.5

Relative Frequency: The proportion of data in that particular class.

Example: for (0,5] class — (6 / 86) = 0.07

Cumulative Frequency:

Addition of current class frequency and its previous frequencies

Example: for class (5,10] —

0.07 is its previous frequency

and 0.09 is it current frequency

so (5,10] cumulative frequency is: 0.07 + 0.09 = 0.16

After observing relative frequency, I can say that

1. . (15, 20] age customers are visiting the fast-food restaurant more
2. (10, 15], (15, 20] and (20, 25] age customers tend to visit the fast-food restaurant frequently.

I hope it is useful. Thank you so much for reading.