Question

use the table to answer the question.
the table dispalys the number of algebra
students who owns a specific number of pets.
create a dot plot for the given data, and then use the mean to find the balancing point of the data.
(1 point)
the balancing point of the data is □.

Explanation:

Step1: Calculate the total number of students

The total number of students is the sum of the number of students in each category.

$$6 + 4+1 + 4+6=21$$

Step2: Calculate the weighted sum of the data

Multiply the number of pets by the number of students for each category and then sum them up.

$$0\times6+1\times4 + 2\times1+3\times4+4\times6=0 + 4+2+12 + 24=42$$

Step3: Calculate the mean (balancing point)

The mean is the weighted sum divided by the total number of students.

$$\frac{42}{21}=2$$

Answer:

\(2\)