Question

How can I calculate the mean number of children per family for the frequency distribution? What is the modal number of children per family? How can I determine the median number of children per family?

Answer 1

SOLUTION:

Case: Measure of central tendency

Method:

1. The Mean

$\begin{gathered} \bar{x}=\frac{\Sigma fx}{\Sigma f} \\ \bar{x}=\frac{(1\times2)+(2\times3)+(3\times9)+(4\times5)+(6\times4)+(7\times1)}{2+3+9+5+6+4+1} \\ \bar{x}=3.867 \end{gathered}$

2. The Median

The position of the median (middle) number of children per family is 15th.

The median= 4 per family

3. The mode.

The family with the highest number of children occurs 9 times.

The highest number has 3 children per family

Final answer:

The mean = 3.867 children per family

The median= 4 children per family

The mode= 3 children per family