Explanation
Part A
We can use the formula below to find the mean.
[tex]\text{Mean}=\sum ^{}_{}(\frac{fx}{f})[/tex]We will then have;
[tex]\begin{gathered} \text{Mean = }\frac{5\times3+4\times1+5\times1+6\times2+7\times2+8\times4+9\times3+10\times1}{19}=\frac{15+4+5+12+14+32+27+10}{19} \\ =\frac{119}{19}=6.2632 \end{gathered}[/tex]Mean = 6.2632
Part B
Since the data set is odd.
[tex]\begin{gathered} \text{Median}=\frac{(n+1)}{2}^{th}\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^{th}\text{observation} \\ =\text{value of 10th observation} \end{gathered}[/tex]Answer: From the column of cumulative frequency cf, the median is 7
