Question

find the median of the data 78,56 22,34 45,54 39,68 54,84

Answer 1

Arrange the data in ascending order :22,34,39,45,54,54,56,68,78,84
Now, n=10(even)
Median = (n/2th term +(n/2+1) th term) /2
5th term +6th term /2
(54+54)/2
108/2
=54
So the mean is 54

Answer 2

Given:  

A set of numbers 78, 56, 22, 34, 45, 54, 39, 68, 54, 84.  

To Find:  

The median of the given set of numbers is?  

Solution:  

1. The given set of numbers is 78, 56, 22, 34, 45, 54, 39, 68, 54, 84.  

2. To find the median of a set of numbers, the first step is to arrange the numbers either in ascending order (OR) descending order.  

=> Arrange the set of numbers in ascending order,  

=> 22, 34, 39, 45, 54, 54, 56, 68, 78, 84.  

3. For a total of an odd number of outcomes, the median is defined as the middlemost value after sorting the data in ascending (OR) descending order.  

4. For a total of an even number of outcomes, the median is calculated as the average of the two middlemost values after sorting the data in ascending (OR) descending order.  

5. The total number of terms in the given data is 10, Hence the middlemost value (OR) (5th term + 6th term)/2 rd value is considered as the median,  

=> Median = (54 + 54)/2 = 54.  

=> Median = 54.

Therefore, the median of the given data is 54.