Question

five students were surveyed on the number of pets in their house. the results are shown below:

2, 2, 2, 3, 6

what is the mean number of pets?

5
2
4
3

Explanation:

Identify the given data values

We are given a data set representing the number of pets owned by five surveyed students:

$$ 2, 2, 2, 3, 6 $$

The total number of observations, denoted by \(n\), is \(5\).

Sum the data values

To find the mean, we first calculate the sum of all the values in the data set:

$$ \text{Sum} = 2 + 2 + 2 + 3 + 6 $$

$$ \text{Sum} = 15 $$

Calculate the mean

The arithmetic mean is calculated by dividing the sum of the values by the total number of values:

$$ \text{Mean} = \frac{\text{Sum}}{n} $$

$$ \text{Mean} = \frac{15}{5} = 3 $$

Thus, the mean number of pets is \(3\).

Answer:

• 5
• 2
• 4
• 3 (Correct answer)