Question

using the set of numbers find the mean rounded to the nearest tenth , median , mode and range.98 , 98 , 90 , 82 , 89 , 87

Answer 1

The median is defined as the sum of all the values divided by the total number of data, then in this case:

`\begin{gathered} \mu=(98+98+90+82+89+87)/(6) \\ \mu=(544)/(6) \\ \mu=90.7 \end{gathered}`

To find the median we need to order the data:

`82,\text{ 87, 89, 90, 98, 98}`

The median is the number that divides all the data in half, since we have an even number of data we need to take the mean between the middle data, that is, the median is:

`(89+90)/(2)=89.5`

The mode is the number that repeats itself more on the data set, then in this case we the mode is 98.

The range is the difference between the lowest and highest data, then:

`98-82=16`

Summing up we have:

mean: 90.7

median: 89.5

mode: 98

Range: 16