You survey your class to find out the types of pets they have at home. Below are the results: Dog, Dog, Cat, Cat, Cat, Dog, Hamster, Fish, Dog, Fish

a. Make a frequency table for the results.

b. Calculate the relative frequencies of the each animal type.

c. Using the relative frequencies explain which animals are most and least popular. Be specific and explain your reasoning.

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4 Cat: 3/10 = 0.3 Fish: 2/10 = 0.2 Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency. Hamster is the least popular because it has the lowest relative frequency.

Explanation:

a. Make a frequency table for the results.

There are four kind of pets: dog, cat, hamster, and fish.

A frequency table shows the number of items for each category (kind of pets).

Count the number of each kind of pet:

Dog: 4 Cat: 3 Hamster: 1 Fish: 2 Total: 10

With that you build your frequency table.

Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b. Relative frequencies of each animal type.

The relative frequency is how often an outcome appears divided by the total number of outmcomes.

Here the total number of outcomes is 10 (the ten pets).

So, calculate each relative frequency:

Dog: 4/10 = 0.4 Cat: 3/10 = 0.3 Fish: 2/10 = 0.2 Hamster: 1/10 = 0.1

An important feature of the relative frequency is that they must add up 1. Check:

0.4 + 0.3 + 0.2 + 0.1 = 1.

c. Using the relative frequencies explain which animals are most and least popular.

Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.