Question

If the median of the data 4, 7, x-1, x-3, 16, 25, written in ascending order, is 13 then x is equal to (a) 13 (b) 14 (c) 15 (d) 16

Answer 1

Answer: x = 15

15 is the right answer

Step-by-step explanation:

Answer 2

The value of x is 15

Step-by-step explanation:

Data : 4, 7, x-1, x-3, 16, 25

No. of observations = 6(even)

Median =$\frac{ \frac{n}{2} \text{th term} +(\frac{n}{2}+1) \text{th term}}{2}$

Median =$\frac{ \frac{6}{2} \text{th term} +(\frac{6}{2}+1) \text{th term}}{2}$

Median =$\frac{ 3 \text{th term} +4 \text{th term}}{2}$

Median =$\frac{x-1+x-3}{2}$

We are given that median is 13

So, $13=\frac{x-1+x-3}{2}$

$26=x-1+x-3$

$26=2x-4$

$30=2x$

$15=x$

Hence the value of x is 15

#Learn more :

If the median of the data: 6, 7, x − 2, x, 17, 20, written in ascending order, is 16. Then x =

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