Question

An elementary class was surveyed about what pet they owned. The results are shown below. Part A - What is the relative frequency/experimental probability that a student will have a lizard as a pet?Part B - What is the theoretical probability of a student having a lizard as a pet?Part C - Describe the difference between the relative frequency and theoretical probability.

Answer 1

Here, we want to describe the difference between relative frequency and theoretical probability

Firstly, we need the values for the theoretical probability and relative frequency

To get the theoretical probability, we only need to divide the number of frequencies of lizards by the total frequency

The total frequency is;

13 + 7 + 5 + 10 + 7 + 5 = 47

The theoretical probability is thus;

`(10)/(47)`

Now, we need the value for the relative frequency

That would be expressed as a percentage and that is;

`(10)/(47)*\text{ 100\% = 21\%}`