Question

QuestionFind the median, mean, and range.76, 33, 32, 61, 38The median isThe mean isThe range is

Answer 1

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:

`\begin{gathered} Range=\text{ largest value -smallest value} \\ Range\text{ = 76-32} \\ Range=42 \end{gathered}`

Hence, the range of the data is 42.

The mean of the data is calculated as,

`\begin{gathered} Mean=\frac{sum\text{ of value}}{5} \\ =(32+33+38+61+76)/(5) \\ =(240)/(5) \\ =48 \end{gathered}`

Hence, the mean of the data is 48.

The median of the data is calculated as:

`\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}`

Hence, the median of the data is 38.