it's a parts of statistics

2. Central tendency(or measurement of central tendency) is defined as “the statistical measure that identifies a
single value as representative of an entire distribution.”
Central
Tendency
Mean Median Mode
The average
of the data
The middle
value of the
data
Most commonly
accruing value

3. Mean :
The mean of a set of values or measurements is the sum of all the measurements divided by the number of
the measurements in the set .
Mean
Arithmetic
Mean
Weighted
Mean
Geometric
Mean
Harmonic
Mean

4. Here , n=number of observations
xi=sum of the all numbers
∑
Example of A.M :
A sample of five executives received the following bonus last year($000):
14.0,15.0,17.0,16.0,15.0
Solution :
= 15.4

5. Find the mean of the following data set

6. Example : Calculate the geometric mean of 5,25,27
Solution : We know ,

7. Example : Obtain harmonic mean of 15,18,23,25,30.
Solution :

8. The term median refers to a metric used in statistics. It is the middle number in a sorted ascending or
descending list of numbers and can be more descriptive of that data set than the average.
For ungrouped data : For grouped data :
Median = L + n/2 – Fc * h/Fm
Here, n = number of observations
Here, L= Lower limit of middle class
n = number of observations
Fc = the median class is the aggregate
population of the previous class .
Fm = population of the middle class
h = Classification
The cumulative frequency is calculated by adding each frequency from a frequency distribution
table to the sum of its predecessors.
Cumulative frequency :

9. Here, n is 5 which is odd number
Solution: After sorting the data:

10. Example of median Grouped data set
The following are the marks scored by the students in the
Summative Assessment exam.
Solution :
1. At first , from the table we calculate the cumulative frequency -
2. Then , find middle class value
Median class = (N/2)th value
= (50/2)th value
= 25th value
Median class = 30 – 40
so, L = 30 ;
h = 10;
Fm = 10;
Fc=24;
3. According to Substitute values .
Median = 30 + (25-24)*10/10
= 30+1*1
= 31

11. Example: The exam scores for ten students are: 81, 93, 84, 75, 68, 87, 81, 75, 81, 87.calculate mode
Solution: Because the score of 81 occurs the most often, it is the mode.
For grouped data the mode formula is : Mode = L + {f1/(f1+f2)}*h
Here ,
L = Lower limit of modal class
f1 = Frequency of class immediately before modal class
f2 = Frequency of class immediately after modal class
h = Width of modal class

12. Example : Suppose we have the following frequency distribution that shows the number of points scored per
game by 60 basketball players -
Solution :
1. In this example, the modal class is 11-20.
2. Knowing this, we can calculate the following values:
L = 11;
h = 9;
f1 = 8;
f2 = 14;
3. We can plug these values into the formula to calculate the mode of the distribution:
Mode = L + {f1/(f1+f2)}*h
= 11 + {8/(8+14)}*9
= 14.27
We estimate that the modal points scored is 14.27.

13. Descriptive Statistics
Inferential statistics
Mean income and price index
Grades and educational term
Healthcare
Social Sciences and surveys
Athletic Performance or sports purpose
Demographics

14. Data Analysis
and Statistics
Algorithm
Analysis
Performance
Metrics
User Experience
(UX) Design
Natural Language
Processing (NLP)
Database Query
Optimization
Game
Development
Resource
Allocation
Quality
Assurance
Network
Analysis