Chapter 2: Q3 (page 48)

Relative frequency distribution use percentages to construct the relative frequency distribution corresponding to the accompanying frequency distribution for McDonald’s dinner service times.

Short Answer

Expert verified

The relative frequency distribution corresponding to the accompanying frequency distribution for McDonald’s dinner service times are as,

Time (sec)	Relative frequency (%)
60-119	14
120-179	44
180-239	28
240-299	4
300-359	10

Step by step solution

Given information

Refer to Exercise 1 for the frequency distribution of McDonald’s dinner service times.

Time (sec)	Frequency
60-119	7
120-179	22
180-239	14
240-299	2
300-359	5
N	50

Definition of relative frequency

A frequency distribution that represents counts of observations in different intervals or categories.

Thus, a frequency is a count against a category, represented by .

Relative frequency distribution is a summarization of categories and the relative frequencies.

Relative frequency is the ratio of the frequency of a particular event in a statistical experiment to the total frequency, which is expressed in percentage.

Mathematically,

$R f_{i} = \frac{f_{i}}{\sum f_{i}} = \frac{f_{i}}{N}$

Calculate the relative frequency distribution

The table shows relative frequency of each class,

Time (sec)	Frequency	Intermediate calculation of relative frequency	Relative frequency (%)
60-119	7	$\frac{7}{50} \times 100$	14
120-179	22	$\frac{22}{50} \times 100$	44
180-239	14	$\frac{14}{50} \times 100$	28
240-299	2	$\frac{2}{50} \times 100$	4
300-359	5	$\frac{5}{50} \times 100$	10