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.

See Explanation

Step-by-step explanation:

Solving (a):

First, we categorize each data (to get their frequencies):

PI PI PI PI PI PI PI PI PI ---> Frequency: 9

S S S S S S S S---> Frequency: 8

V V V V V V V V V V V V  V ---> Frequency: 13

PO PO PO---> Frequency: 3

B ---> Frequency: 1

C  C ---> Frequency: 2

Total = 36.

The frequency table is as follows:

Solving (b): The relative frequency and percentage.

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

So, we have:

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

So, we have:

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

This is calculated as:

(d) See attachment for bar graph

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

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9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet