Question

the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.​

Answer 1

x = 21

Explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21