To find the mean number of pets, we use the formula for the mean of a frequency distribution:

Question

ScanSolve AI Tutor · Accepted Answer

To find the mean number of pets, we use the formula for the mean of a frequency distribution:

\text{Mean} = \frac{\sum (x \cdot f)}{\sum f}

where $x$ is the number of pets and $f$ is the frequency.

Calculate the sum of $(x \cdot f)$ for each category.
- For 0 pets: $0 \times 4 = 0$
- For 1 pet: $1 \times 12 = 12$
- For 2 pets: $2 \times 8 = 16$
- For 3 pets: $3 \times 2 = 6$
- For 4 pets: $4 \times 1 = 4$
- For 5 pets: $5 \times 2 = 10$
- For 6 pets: $6 \times 1 = 6$
Sum these products to find $\sum (x \cdot f)$ .
$\sum (x \cdot f) = 0 + 12 + 16 + 6 + 4 + 10 + 6 = 54$
Calculate the sum of the frequencies, $\sum f$ , which represents the total number of classmates surveyed.
$\sum f = 4 + 12 + 8 + 2 + 1 + 2 + 1 = 30$
Divide the sum of $(x \cdot f)$ by the sum of $f$ to find the mean.
$\text{Mean} = \frac{54}{30}$ $\text{Mean} = 1.8$
The mean number of pets is $\text{1.8}$ .

Answer