Question

18) Following 10 observations are arranged in ascending order as follows
2.3.5.9.x+1.x+3, 14, 16, 19.20
If the median of the data is 11. find the value of x.​

Answer 1

Since there are 10 observations and are in ascending order, the median 11 is the sum of 5th and 6th terms divided by 2, i.e.,

$\displaystyle\longrightarrow\sf {\dfrac {x+1+x+3}{2}=11}$

$\displaystyle\longrightarrow\sf {\dfrac {2x+4}{2}=11}$

$\displaystyle\longrightarrow\sf {x+2=11}$

$\displaystyle\longrightarrow\sf {\underline {\underline {x=9}}}$