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# The following observations have been arranged in ascending order. If the median of the data is 63, Find the value of x.29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

It can be observed that the total number of observations in the given data is 10 (even number).

Therefore the median of this data will be the mean of $$\frac{10}{2}$$, 5th and $$\frac{10}{2} + 1$$ i.e., 6th observation.

$$\therefore$$ median of data
= $$\frac{5th observation + 6th observation}{2}$$
$$\Rightarrow$$ $$63 = \frac{x + x + 2}{2}$$
$$\Rightarrow$$ $$63 = \frac{2x + 2}{2}$$
$$\Rightarrow$$ $$63 = x + 1$$
$$\Rightarrow$$ $$x = 62$$

Hence, the value of x is 62.