Question

The median of the observations 6, 7, , ( + 2), 12, 14 arranged in ascending order is 9.

Find the value of .​

Answer 1

Answer:

The observations are: 6,8,9,15,x,x+2,21,22,25,29

The number of observations are 10. Since, the observations are even, the median will be the mean of

2

n

and

2

n

+1 observations

median = mean of

2

10

and

2

10+2

observations

median = mean of 5

th

and 6

th

observations

median =

2

x+x+2

17=x+1

x=16

Answer 2

Answer:

Step-by-step explanation:

The observation are already arranged in order  

so the middle two observations are x + 2 and x + 4

thus (x+2+x+4)/2=24

2x+6=48

2x=42

x=21.

Explanation: The median is a simple measure of central tendency.

To find the median, we arrange the observations in order from smallest to largest value.

If there are an odd number of observations, the median is the middle value.

If there is an even number of observations, the median is the average of the two middle values.