MathematicsIf the median of the observations 19, 21, 23, 35, 37, x, x+2, 71, 79, 80, 92, 95 arranged in ascending order is 50. Find the value of ‘x’.

If the median of the observations 19, 21, 23, 35, 37, x, x+2, 71, 79, 80, 92, 95 arranged in ascending order is 50. Find the value of ‘x’.

19, 21, 23, 35, 37, x, x+2, 71, 79, 80, 92, 95

Number of observations are $n = 2$

$∴$ median is Average of $\frac{n^{t h}}{2}, {(\frac{n}{2} + 1)}^{t h}$ terms

Median is Average of $\frac{12^{t h}}{2}, {(\frac{12}{6} + 1)}^{t h}$ terms

Median is Average of $6^{t h}, 7^{t h}$

Median $=$ average of $6^{t h}, 7^{t h}$ terns is $= \frac{n + n + 2}{2} = 50$

$\Rightarrow 2 n + 2 = 100$

$\Rightarrow x = 49$

Related content