Questions: This dot plot shows the age, in years, of 29 dogs at a dog park. a. What is the mean age of dogs at the dog park? Type the answer in the box below. Round the answer to the nearest tenth. years old

This dot plot shows the age, in years, of 29 dogs at a dog park.
a. What is the mean age of dogs at the dog park?

Type the answer in the box below. Round the answer to the nearest tenth.
years old

Transcript text: This dot plot shows the age, in years, of 29 dogs at a dog park. a. What is the mean age of dogs at the dog park? Type the answer in the box below. Round the answer to the nearest tenth. years old

Solution

Solution Steps

Step 1: Count the number of dogs at each age

0 years: 1 dog
1 year: 1 dog
2 years: 3 dogs
3 years: 5 dogs
4 years: 6 dogs
5 years: 4 dogs
6 years: 3 dogs
7 years: 1 dog
8 years: 2 dogs
9 years: 2 dogs
10 years: 0 dogs
11 years: 1 dog

Step 2: Calculate the total sum of the ages

Sum = (0 * 1) + (1 * 1) + (2 * 3) + (3 * 5) + (4 * 6) + (5 * 4) + (6 * 3) + (7 * 1) + (8 * 2) + (9 * 2) + (10 * 0) + (11 * 1)
Sum = 0 + 1 + 6 + 15 + 24 + 20 + 18 + 7 + 16 + 18 + 0 + 11
Sum = 136

Step 3: Calculate the mean age