The following data is arranged in the ascending order4,5,8,11,5x,5x+2,16,18,21,22If the median of the data is 13, then find the value of x.
Answers
The value of x is 2.4 .
Step-by-step explanation:
We are given the following data arranged in the ascending order below;
4, 5, 8, 11, , , 16, 18, 21, 22
Now, we are also provided with the median of this data and we have to find the value of .
Now, how to perform the Calculation of Median;
Firstly, we will observe that the total number of observation (n) is even or odd.
- If n is odd, the the formula for median is given by;
Median =
- If n is even, then the formula for median is given by;
Median =
Here, in our data we can see that n is even as n = 10.
So, Median is given by the formula;
Median =
13 =
13 =
In our data and observation are and respectively.
So, 13 =
Therefore, the value of in the above data is 2.4.