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

Case: Measure of central tendency

Method:

1. The Mean

`\begin{gathered} \bar{x}=(\Sigma fx)/(\Sigma f) \\ \bar{x}=((1*2)+(2*3)+(3*9)+(4*5)+(6*4)+(7*1))/(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