Question

10 observations are arranged in ascending order
2,3,5,9, x+1,x+3,14,14,19,20
median is 11 find x​

Answer 1

Answer:

The value of x is 9.

Step-by-step explanation:

The observations arranged in ascending order is:

2, 3, 5, 9, x + 1, x + 3, 14, 14, 19, 20

There are 10 values in the set.

The median observation for an even set of values is the average of the middle two values.

The median in this case will be the average of 5th and 6th observation.

The median is 11.

The 5th observation is, x + 1.

The 6th observation is, x + 3.

Compute the value of x as follows:

$Median=[\frac{5^{th}\ obs.+6^{th}\ obs.}{2}]\\11=\frac{x+1+x+3}{2}\\11=\frac{2x+4}{2}\\11=x+2\\x=9$

Thus, the value of x is 9.

Answer 2

Answer:

value of x is 9

Step-by-step explanation:

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