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=(72+83+89+91+96+97+104+118+118+118)/(10)`
`x=(986)/(10)`
`x=98.6`

The mean is 98.6.

The median is,

`M=(((n)/(2))th+((n)/(2)+1)th)/(2)`
`M=(((10)/(2))th+((10)/(2)+1)th)/(2)`
`M=(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}`