Respuesta :
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
Explanation
Mean is given by
[tex]\frac{sum\text{ of observations}}{total\text{ number of observations}}[/tex]so ,
[tex]\begin{gathered} mean=\frac{14+12+16+18+22+24+22+18+18+20+16+14+26+18+8+2+14+10+14+26+22+24}{22} \\ \\ \\ mean=\frac{388}{22}=17.6363636364\approx17.64 \\ \end{gathered}[/tex]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
[tex]\begin{gathered} \frac{nth}{2},\frac{nth}{2}+1 \\ \\ \frac{22}{2},\frac{22}{2}+1 \\ 11th,12th \\ so,median=\frac{11th+12th}{2} \\ \\ median=\frac{18+18}{2}=18 \end{gathered}[/tex]so , median = 18
now , mode
there are two modes in the given data set that are 14 and 18 because they both come fou
