Question

. Given the following set of data, find the mean, median and mode(s),respectively.(14, 12, 16, 18, 22, 24, 22, 18, 18, 20, 16, 14, 26, 18, 8, 12, 14, 10, 14, 26, 22, 24}O 18,17.64,14 and 22O 18,18,14O 17.64,18,1617.64,18,14 and 18

Answer 1

Given

Data Set

14, 12, 16, 18, 22, 24, 22, 18, 18, 20, 16, 14, 26, 18, 8, 12, 14, 10, 14, 26, 22, 24

Find

Mean , Median and Mode

Step-by-step explanation

Mean is given by

`\frac{sum\text{ of observations}}{total\text{ number of observations}}`

so ,

to find the median , we first arrange the data in ascending order.

8 , 10 , 12 , 12 , 14 , 14 , 14 , 14 , 16 , 16 , 18 , 18 , 18 , 18 , 20 , 22 , 22 , 22 , 24 , 24 , 26 , 26

as number of observations are even in number.

so , median is given by

`\begin{gathered} (nth)/(2),(nth)/(2)+1 \\ \\ (22)/(2),(22)/(2)+1 \\ 11th,12th \\ so,median=(11th+12th)/(2) \\ \\ median=(18+18)/(2)=18 \end{gathered}`

so , median = 18

now , mode

there are two modes in the given data set that are 14 and 18 because they both come fou