Statistics is a branch that aims at collecting data, processing it, and summarizing the data. It refers to the collection, analysis, interpretation, and presentation of data. The statical analysis is done to analyze the data set of different fields. The analysis is done to predict the uncertainty in data and make data user-friendly. In simple words, it is the study and manipulating data to make it meaningful and use in the most efficient manner.
According to the great statistician Sir Arthur Lyon Bowley, statistics is defined as “Numerical statements of facts in any department of inquiry placed in relation to each other”.
Example of statistics in real life
- The salary list of all employees of a company is given. The mean salary states the salary an employee on average will receive in this company.
- Suppose it is needed to find the effect of certain medications on a group of people. The medicine is given to a small population and effects are noted in a proper statical manner. The results of the same can be used to predict the effect in the whole population.
Median
The Median in statistics is the middle value of the given set of data when arranged in order. It is used to find the central value hence also called measure of central tendency. If the total number of elements in the list of numbers is odd then the median is the middlemost element and if the total number of elements in the list if even the median is the average of the two numbers. Example: The median of the list 1, 2, 3, 4, 5, 6, 7. is 4.
Odd numbers
All those numbers which are not the multiples of 2 are called odd numbers.
Example of odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 etc.
What is the median of the first 10 odd natural numbers?
Solution:
Median is the middle number in the list of numbers arranged in ascending order i.e from lowest to highest. If the total number of elements in the list of numbers is odd then the median is the middlemost element and if the total number of elements in the list if even the median is the average of the middlemost two numbers.
List of first 10 odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
Since the count is even here hence the median is the average of the two most middle numbers.
Hence, Median = (9 + 11)/2 = 10.
Hence the median of the first 10 odd natural numbers is 10.
Similar problems
Question 1: Find the median of 1st 10 even numbers.
Solution:
List of first 10 even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Since the count is even here, hence the median is the average of the two most middle numbers.
Hence, Median = (10 + 12)/2 = 11.
Question 2: Find the mean of the first 10 natural numbers.
Solution:
List of first 10 natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Mean of these numbers is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)/10 = 5.5
Hence, Mean = 5.5.
Question 3: Find which of the following numbers is even?
1, 2, 5, 100, 589, 656, 43, 215, 20, 298, 140.
Solution:
Even numbers are 2, 656, 20, 298, 140, 100 .