The frequency table below shows the number of siblings reported by a group of 10 students in a class. | Number of Siblings | Number of Students | | :---: | :---: | | 0 | 2 | | 1 | 4 | | 2 | 3 | | 3 | 1 | What is the mean number of siblings per student for this group?

The frequency table below shows the number of siblings reported by a group of 10 students … — ACT

The frequency table below shows the number of siblings reported by a group of $10$ students in a class.

What is the mean number of siblings per student for this group?

The mean number of siblings per student is

1.3

To find the mean number of siblings per student, first determine the total number of siblings by multiplying each sibling category by its frequency:

(0 \times 2) + (1 \times 4) + (2 \times 3) + (3 \times 1) = 13

. Next, determine the total number of students by summing the frequencies:

2 + 4 + 3 + 1 = 10

. Finally, divide the total siblings by the total students:

\frac{13}{10} = 1.3

Find the total number of students by adding the frequencies in the second column.

2 + 4 + 3 + 1 = 10

students

This sum represents the total number of observations in the dataset.

Calculate the total number of siblings by multiplying each sibling count by the number of students reporting that count, then summing the products.

(0 \times 2) + (1 \times 4) + (2 \times 3) + (3 \times 1) = 0 + 4 + 6 + 3 = 13

siblings

This gives the sum of all data values across the entire group.

Divide the total number of siblings by the total number of students to find the mean.

\frac{13}{10} = 1.3

The mean is calculated as the sum of all values divided by the number of observations.

Calculating the mean from a frequency table.

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