The wickets tanken by a bowles in 15 cricket matches is as follows . 1,3,2,0,3,4,3,2,5,1,2,2,1,0,2 Find mean , made and median of the given data
Answers
Given,
- The Observation ;
1,3,2,0,3,4,3,2,5,1,2,2,1,0,2
To Find,
- The Mean , Median and Mode Of Given Observation.
Solution,
Finding Mean ;
Mean = Sum of total observation / Number Of total observation
→ Mean
= (1 + 3 + 2 + 0 + 3 + 4 + 3 + 2 + 5 + 1 + 2 + 2 + 1 + 0 + 2)/15
→ Mean = 31/15
→ Mean = 2.06
Finding Median ;
Step 1
Arrange This observation in Ascending or Descending Order
As
0,0,1,1,1,2,2,2,2,2,3,3,3,4,5
Step 2
Find The Number of observation.
As
There are 15 observation.
So,
We put formula ((n + 1)/2)th Term.
Median = ((n + 1)/2)th Term
→ Median = ((15 + 1)/2)th Term
→ Median = (16/2)th Term
→ Median = 8th Term
→ Median = 2
Finding Mode ;
The Frequency of All Observation
Frequency of 0 = 2
Frequency of 1 = 3
Frequency of 2 = 5
Frequency of 3 = 3
Frequency of 4 = 1
Frequency of 5 = 1
Mode = Highest Frequency
→ Mode = 2
Required Answer,
- Mean = 2.06
- Median = 2
- Mode = 2