Given,
The data is: 76, 33, 32, 61, 38.
Required:
The range, median and mean of the data.
The range of the data is calculated as:
[tex]\begin{gathered} Range=\text{ largest value -smallest value} \\ Range\text{ = 76-32} \\ Range=42 \end{gathered}[/tex]Hence, the range of the data is 42.
The mean of the data is calculated as,
[tex]\begin{gathered} Mean=\frac{sum\text{ of value}}{5} \\ =\frac{32+33+38+61+76}{5} \\ =\frac{240}{5} \\ =48 \end{gathered}[/tex]Hence, the mean of the data is 48.
The median of the data is calculated as:
[tex]\begin{gathered} Median=\frac{(n+1)^{th\text{ }}place\text{ value}}{2} \\ =\frac{(5+1)^{th\text{ }}}{2}place\text{ value} \\ =3^{rd\text{ }}place\text{ value} \\ =38 \end{gathered}[/tex]Hence, the median of the data is 38.
