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A raw data is in ascending order i.e. 3, 4, 8, x, x + 1, 12, 14, 15. If the median of this data is 9.5, then the value of x is:
Question

A raw data is in ascending order i.e. 3, 4, 8, x, x + 1, 12, 14, 15. If the median of this data is 9.5, then the value of x is:

A.

7

B.

9

C.

4

D.

11

Correct option is B

​Given:
Data: 3, 4, 8, x, x + 1, 12, 14, 15

Formula Used:
For an even number of data points, the median is the average of the middle two values.

Solution:

There are 8 values in the data set, so the median will be the average of the 4th and 5th terms.
The 4th and 5th terms are x and x + 1.
(x + (x + 1)) / 2 = 9.5
(2x + 1) / 2 = 9.5
2x + 1 = 19
2x = 18
x = 9​

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