Question

the graph below represents the number of siblings each student in a class has. siblings what was the mean number of siblings? answer attempt 1 out of 3

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}f_{i}}{\sum_{i = 1}^{n}f_{i}}$, where $x_{i}$ is the value and $f_{i}$ is the frequency.

Step2: Calculate $\sum_{i = 1}^{n}x_{i}f_{i}$

For $x_1 = 0,f_1=5$; $x_2 = 1,f_2 = 4$; $x_3=2,f_3 = 1$; $x_4=3,f_4 = 1$; $x_5=4,f_5 = 2$; $x_6=5,f_6 = 3$. Then $\sum_{i = 1}^{6}x_{i}f_{i}=0\times5 + 1\times4+2\times1 + 3\times1+4\times2+5\times3=0 + 4+2 + 3+8+15=32$.

Step3: Calculate $\sum_{i = 1}^{n}f_{i}$

$\sum_{i = 1}^{6}f_{i}=5 + 4+1+1+2+3=16$.

Step4: Calculate the mean

$\bar{x}=\frac{32}{16}=2$.

Answer:

2