High School

Consider the following data set. Round your answers to the nearest hundredth as needed.

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

- Mean =
- Median =
- Mode =
- Range =
- Sample Standard Deviation =

Answer :

Arrange the data in ascending order,

[tex]72,83,89,91,96,97,104,118,118,118[/tex]

The mean is ,

[tex]x=\frac{72+83+89+91+96+97+104+118+118+118}{10}[/tex][tex]x=\frac{986}{10}[/tex][tex]x=98.6[/tex]

The mean is 98.6.

The median is,

[tex]M=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}[/tex][tex]M=\frac{(\frac{10}{2})th+(\frac{10}{2}+1)th}{2}[/tex][tex]M=\frac{96+97}{2}[/tex][tex]M=\text{ 96.5}[/tex]

The median is 96.5.u

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

[tex]m=\text{ 118}[/tex]

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

[tex]R=118-72[/tex][tex]R=\text{ 46}[/tex]