Question

A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are estimated to be 50 dogs at the park at any given time, which proportion could be used to find the average number of shepherd mixes at the park at any given time?

Dog Park Sample
Sample 1
Sample 2
Labrador Retriever
4
Labrador Retriever
5
Shepherd Mix
7
Shepherd Mix
9
Chihuahua
3
Chihuahua
5
Poodle
1
Poodle
2
Australian Cattle Dog
2
Australian Cattle Dog
4
StartFraction 8 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 16 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 8 over 50 EndFraction = StartFraction x over 42 EndFraction
StartFraction 7 over 9 EndFraction = StartFraction x over 50 EndFraction

Answer 1

sample one and two labrador

Answer 2

The proportion that could be used to find the average number of shepherd mixes at the park at any given time is:

Proportion 1 = 7 / 17

Proportion 2 = 9 / 25

How to find the proportion

To find the proportion that could be used to estimate the average number of shepherd mixes at the park at any given time, examine the counts of shepherd mixes in the samples provided.

From Sample 1, the count of shepherd mixes is 7.

From Sample 2, the count of shepherd mixes is 9.

To obtain the proportion, use the count of shepherd mixes from the samples and divide it by the total number of dogs in the samples.

The total number of dogs in Sample 1 is 4 + 7 + 3 + 1 + 2 = 17.

The total number of dogs in Sample 2 is 5 + 9 + 5 + 2 + 4 = 25.

Now, calculate the proportions:

Proportion 1 = Count of Shepherd Mixes in Sample 1 / Total Number of Dogs in Sample 1

Proportion 1 = 7 / 17

Proportion 2 = Count of Shepherd Mixes in Sample 2 / Total Number of Dogs in Sample 2

Proportion 2 = 9 / 25

The proportion that could be used to find the average number of shepherd mixes at the park at any given time is:

Proportion 1 = 7 / 17

Proportion 2 = 9 / 25