Respuesta :

Given

The data, 63,25,43,28,72,61,45,46,13.

To find the mean, median, mode and range.

Explanation:

It is given that,

63,25,43,28,72,61,45,46,13.

Arrange the given data in ascending order.

That implies,

13,25,28,43,45,46,61,63,72.

Then, the mean of the given data is,

[tex]\begin{gathered} mean=\frac{13+25+28+43+45+46+61+63+72}{9} \\ =\frac{396}{9} \\ =44 \end{gathered}[/tex]

Also, the median of the given data is,

[tex]\begin{gathered} median=(\frac{n+1}{2})th\text{ }term[\because n\text{ }is\text{ }odd] \\ =(\frac{9+1}{2})th\text{ }term \\ =(\frac{10}{2})th\text{ }term \\ =5th\text{ }term \\ =45 \end{gathered}[/tex]

Also, the mode of the given data is,

In the given data, no observation occurs more than once.

That implies,

[tex]mode=0[/tex]

Also, the range of the given data is,

[tex]\begin{gathered} Range=Higher\text{ }value-Lower\text{ }value \\ =72-13 \\ =59 \end{gathered}[/tex]

Hence, the mean is 44, the median is 45, the mode is 0, and the range is 59.