Answer:
x = 20
Step-by-step explanation:
Median:
[tex]\sf \text{\bf Number of data is 10. So the median will be the average of $n^{th} and (n+1)^{th} term $ }[/tex]
Median = average of 5th and 6th term
[tex]\sf = \dfrac{(x +1) + (x+ 3)}{2}\\\\ =\dfrac{x +x + 1 + 3}{2}\\\\= \dfrac{2x + 4}{2}[/tex]
It is given that median = 22
[tex]\sf \dfrac{2x + 4}{2}= 22\\\\2x + 4 = 22*2\\\\2x + 4 = 44[/tex]
2x = 44 - 4
2x = 40
x = 40/2
[tex]\sf \boxed{x = 20}[/tex]
