Statistics is the proper science of creating efficient use of arithmetical data relating to class of individuals. Statistics contract with all aspects including not only the collection and such data, but also the preparation of the group of data, in terms of the mean of experiments and surveys. Now we will learning the examples with the help of free statistics.
In probability theory and statistics, a median is described as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half.
Online:
In general, "online" indicates a state of connectivity, while "offline" indicates a disconnected state. In common usage, "online" often refers to the Internet or the World Wide Web.
(Source - Wikipedia.)
Formula for statistics median online study:
Formula for median of odd numbers:
The following formula which is used to find the median of the given odd number.
Median = ((n + 1)) / 2 .
n = total number of values in the collection.
Formula for median of even numbers:
The following formula which is used to calculate the median of the even numbers.
Median = (n/2) and (n / 2) + 1 .
n = total number of values in the collection.
Example problems for statistics median online study:
Statistics median online study - Example 1
1) Find the Median of 7, 3 and 8.
Solution:
Step 1: Given 7, 3 and 8.
Step 2: Arrange the number in ascending order 3, 7 and 8.
Step 3: total number in the set n = 3
Step 4: apply n =3 in the formula.
= ((n + 1)) / 2 .
= ((3 + 1)) / 2
= 4/2
= 2 nd value
The middle number is 7, so the median is 7
Answer is: 7.
Statistics median online study - Example 2
2) Find the median of 14, 13 and 12
Solution:
Step 1: Given 14, 13 and 12.
Step 2: Arrange the number in ascending order 12, 13 and 14.
Step 3: total number in the set n = 3
Step 4: apply n =3 in the formula.
= ((n + 1)) / 2 .
= ((3 + 1)) / 2
= 4/2
= 2 nd value
The middle number is 13, so the median is 13
Answer is: 13.
Statistics median online study - Example 3
3) Find the median of 12, 14, 13, 15, 11 and 16
Solution:
Step 1: Given 12, 14, 13, 15, 11 and 16
Step 2: Arrange the number in ascending order 11, 12, 13, 14, 15 and 16
Step 3: total number in the set n = 6
Step 4: apply n = 6 in the formula.
= (n/2) and (n/2) + 1 .
= 6/2 and (6 / 2) + 1
= 3 and 4
= 3rd and 4th value
Step 5: So, the median is
= ((13 + 14)) /2
= 27/2
= 13.5
Answer is: 13.5
Statistics median online study - Example 4
4) Find the median of 5, 11, 9, 6, 7, 10, 15 and 16
Solution:
Step 1: Given 5, 11, 9, 6, 7, 10, 15 and 16
Step 2: Arrange the number in ascending order 5, 6, 7, 9, 10, 11, 15 and 16
Step 3: total number in the set n = 8
Step 4: apply n = 8 in the formula.
= (n / 2) and (n/2) + 1 .
= 8/2 and (8 / 2) + 1
= 4 and 5
= 4th and 5th value
Step 5: So, the median is
= ((9 + 10)) /2
= 19/2
= 9.5
Answer is: 9.5
Practice problems for statistics median online study:
1) Find the median of 52, 47 and 65
Ans: 52
2) Find the median of 48, 55 and 80
Ans: 55
3) Find the median of 40, 24 and 30
Ans: 30
4) Find the median of 8, 10, 9, 11, 12 and 13
Ans: 10.5
5) Find the median of 5, 7, 6, 8, 10, 9, 11 and 12
Ans: 8.5
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