Median for given observations is 1.5
We have two formulas to find median
Case 1: when number of observations is even we find median as below
taking average of and
Case 2: when number of observations is odd we find the
Here we have total 10 number of observations so this falls in the category of Case 1 which is for even terms.
we have to take the average of term and term
Here n = 10 so substituting the value of n = 10 in the formula we will get
So, taking the average of term means taking numbers at position that is 1 and 2
It will gives =1.5
1.5 because it is the average of the two middle numbers in this scenario.
Median: The middle number when all the numbers are listed in order.
First, we would put our numbers in order from least to greatest.
0 - 0 - 1 - 1 - 1 - 2 - 2 - 2 - 4 - 4
Next, we need to find the middle number. When we cross of one number from the left and one number from the right and keep doing this, we come across two numbers that are in the middle. The two numbers that are in the middle are 1 and 2. We find the median by adding 2 and 1 together to get a sum of 3 and then divide it by 2 to get an answer of 1.5
The median of this set of numbers is 1.5
The median of the given data set is 1.5.
The given data set is:
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
Now, median of the data set is the middle value of the given data set when arranged in ascending order, that is
Therefore, the median of the given data set is 1.5.
The median is the middle number
Hope i helped you