Question

the mean median mode and range for the following list of values are 8 9 10 10 10 11 11 11 11 13.. please give correct​

Answer 1

Step-by-step explanation:

Range=maximum observation - minimum observation

=13-8

=5

mean=sum of all observation/no. of observation

=115/10=23/2=11.5

Answer 2

GIven:

The list of values is $8, 9, 10, 10, 10, 11, 11, 11, 11, 13$

The lowest value = $8$

The highest value = $13$

To find:

The mean, median, mode, and range of the given values

Formula:

$Mean\;=\;\frac{Sum\;of\;all\;observations}{Total\;number\;of\;observations}$

$Median\;=\;\frac{{({\displaystyle\frac n2})}^{th}\;+\;{({\displaystyle\frac n2}\;+\;1)}^{th}}2$ observation

∵ The number of values in even

$Range\;=\;Highest\;value\;-\;Lowest\;value$

Step-by-step explanation:

Mean:

Mean = $\frac{8+9+10+10+10+11+11+11+11+13}{10}$

Mean = $\frac{104}{10}$

The mean value is $10.4$

Median:

Median = $\frac{{({\displaystyle\frac{10}2})}^{th}\;+\;{({\displaystyle\frac{10}2}\;+\;1)}^{th}}2$ observation

Median = $\frac{{({\displaystyle\frac{10}2})}^{th}\;+\;{({\displaystyle\frac{10}2}\;+\;1)}^{th}}2$

Median = $\frac{5^{th}\;+\;6^{th}}2\;$ observation

Here, the $5^{th}$ observation is $10$ and the $6^{th}$ observation is $11$

So, Median ⇒ $\frac{10\;+\;11}2\;=\;10.5$

Mode:

The mode value for a set of numbers is always the most repeated number.

Here, the number $11$ is repeated $4$ times.

So, the mode value is $11$

Range:

Range = $13\;-\;8$

Range = $5$

Answer:

The values of mean, median, mode, and range are $10.4,\;10.5,\;11,\;and\;5$ respectively