Question

Consider the following data set. Round your answers to the nearest hundredth as needed.83 91 104 72 97118 118 118 8996Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer

Answer 1

Arrange the data in ascending order,

$72,83,89,91,96,97,104,118,118,118$

The mean is ,

$x=\frac{72+83+89+91+96+97+104+118+118+118}{10}$$x=\frac{986}{10}$$x=98.6$

The mean is 98.6.

The median is,

$M=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}$$M=\frac{(\frac{10}{2})th+(\frac{10}{2}+1)th}{2}$$M=\frac{96+97}{2}$$M=\text{ 96.5}$

The median is 96.5.u

The mode is the value that appears most often in a set of data values.

$m=\text{ 118}$

The range is determined as the difference between the maximum and minimum value.

$R=118-72$$R=\text{ 46}$