Question

3. 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
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Answer 1

Answer:

there are10 observations in the data.

so, median will be the mean of (10/2)th term and (10/2 + 1)th term

so, the median will be mean of 5th and 6th term

5th and 6th term are x and x+2.

so, median = (x+x+2)/2

that is,63 = (2x+2)/2 = 2(x+1)/2

that is, 63 = x+1

that is, x = 63-1 = 62

Hence, the value of x is 62.