Question

quick self-quiz: frequency and relative frequency tables
in a blind taste test of different pizza chains, participants were asked to choose their favorite slice. 18
selected dominos, 22 selected pizza hut, 30 selected papa johns, and 15 selected little caesar.
(source: market force information survey of consumer preferences, 2018)
a) display the results in a frequency table.
b) what proportion selected pizza hut?
c) what proportion selected a chain other than dominos?
d) display the results in a relative frequency table.

Explanation:

Step1: Calculate total participants

Total participants \(n = 18+22 + 30+15=85\)

Step2: Calculate proportion for Pizza Hut

Proportion \(P=\frac{30}{85}=\frac{6}{17}\approx0.3529\)

Step3: Calculate proportion for non - Domino's

Number of non - Domino's participants \(=22 + 30+15 = 67\)
Proportion \(P=\frac{67}{85}\approx0.7882\)

Step4: Calculate relative frequencies

• For Domino's: \(\frac{18}{85}\approx0.2118\)
• For Pizza Hut: \(\frac{30}{85}\approx0.3529\)
• For Papa John's: \(\frac{22}{85}\approx0.2588\)
• For Little Caesar's: \(\frac{15}{85}\approx0.1765\)

Answer:

a) Frequency table:

Pizza Chain	Frequency
Pizza Hut	30
Papa John's	22
Little Caesar's	15

b) \(\frac{6}{17}\approx0.3529\)

c) \(\frac{67}{85}\approx0.7882\)

d) Relative frequency table:

Pizza Chain	Relative Frequency
Pizza Hut	\(\frac{30}{85}\approx0.3529\)
Papa John's	\(\frac{22}{85}\approx0.2588\)
Little Caesar's	\(\frac{15}{85}\approx0.1765\)