A whatjapanthinks.com survey asked residents of Japan to name their favorite pizza topping. The possible responses included the following choices: pig-based meats, for example, bacon or ham (PI); seafood, for example, tuna, crab, or cod roe (S); vegetables and fruits (V); poultry (PO); beef (B); and cheese (C). The following data represent the responses of a random sample of 36 people.
V PI B PI V PO S PI V S V S
PI S V V V PI S S V PI C V
V V C V S PO V PI S PI PO PI
a. Prepare a frequency distribution table.
b. Calculate the relative frequencies and percentages for all categories.
c. What percentage of the respondents mentioned vegetables and fruits, poultry, or cheese?
d. Draw a bar graph for the relative frequency distribution.

[tex]\begin{array}{cc}{Pizza\ Topping} & {Frequency} & {Beacon\ or\ Ham} & {9} & {Seafood} & {8} \ \\ {Vegetable\ and Fruit} & {13} & {Poultry} & {3} & {Beef} & {1} & {Cheese} & {2}\ \end{array}[/tex]

Solving (b): The relative frequency and percentage.

Relative frequency is calculated by dividing each frequency by the total frequency.

So, we have:

[tex]{Beacon\ or\ Ham} = \frac{9}{36} =0.250[/tex]

[tex]Seafood = \frac{8}{36} =0.222[/tex]

[tex]Fruits\ and\ Vegetable = \frac{13}{36}=0.361[/tex]

[tex]Poultry = \frac{3}{36}=0.083[/tex]

[tex]Beef = \frac{1}{36}=0.028[/tex]

[tex]Cheese = \frac{2}{36}=0.056[/tex]

The percentage is calculated by multiplying the frequency by 100%.

So, we have:

[tex]Bacon\ or\ Ham = 0.250 * 100\% = 25.0\%[/tex]

[tex]Seafood = 0.222 * 100\% = 22.2\%[/tex]

[tex]Fruits\ and\ Vegetable= 0.361 * 100\% = 36.1\%[/tex]

[tex]Poultry = 0.083 * 100\% = 8.3\%[/tex]

[tex]Beef = 0.028 * 100\% = 2.8\%[/tex]

[tex]Cheese = 0.056 * 100\% = 5.6\%[/tex]

Solving (c): Percentage that mentioned vegetables and fruits, poultry, or cheese?.

This is calculated as:

[tex]\%Percent = Vegetable\ and\ fruits + Poultry + Cheese[/tex]

[tex]\%Percent = 36.1\% + 8.3\% + 5.6\%[/tex]

[tex]\%Percent = 50\%[/tex]

(d) See attachment for bar graph