Introduction to Mathematical Statistics-Statistical Data-Types of Data-Primary Data-Secondary Data-Frequency Distribution-Graphical Representation

1. EVERYDAY IS A CHOICE.
LET’S CHOOSE TO BE
HAPPY

2. Presented By
Ms. A. DALLY MARIA EVANGELINE
ASSISTANT PROFESSOR
DEPARTMENT OF MATHEMATICS
BON SECOURS COLLEGE FOR WOMEN
THANJAVUR, TAMIL NADU 06
MATHEMATICAL
STATISTICS I

3. OBJECTIVE

4. To learn basic concepts of statistics
To learn the basic ideas of statistical data

5. Statistics
• Numerical statement of facts in any department
• Classified facts representing the conditions of the
people in a state….. Specially those facts which can
be stated in number or in tables of numbers

6. Statistics
• Branch of scientific methods which deals with the
data obtained by counting or measuring the
properties of population of natural phenomenon
• Deals with the method of collecting, classifying,
presenting comparing and interpreting numerical da
ta collected to throw some light on any sphere of
inquiry

7. Importance and Scope
• Statistics and planning
• Statistics and mathematics
• Statistics and economics
• Statistics and biology

8. Statistical data
• Data are individual pieces of factual information
recorded and used for the purpose of analysis
• Raw information from which statistics are created
• Statistics deals with collection, analysis and inter -
pretation of numerical data

9. Types of data
• Primary Data – first hand data gathered by the
researcher himself
• Secondary Data – data collected by someone else
earlier – data already available in library, internet
• Grouped and ungrouped data

10. Data collection methods
• Interviews
• Surveys
• Questionnaires
• Observations

11. Frequency Distribution
Representation of data as above is called frequency distribution

12. Frequency distribution
• Prepare the frequency distribution table for the
given set of scores:
39, 16, 30, 37, 53, 15, 16, 60, 58, 26, 28, 19, 20,
12, 14, 24, 59, 21, 57, 38, 25, 36, 24, 15, 25, 41,
52, 45, 60, 63, 18, 26, 43, 36, 18, 27, 59, 63, 46,
42, 48, 35, 64, 24.

13. Frequency Distribution
Class interval Frequency
10-20 9
20-30 12
30-40 8
40-50 7
50-60 6
60-70 5

14. Graphical Representation of Data

15. General Characteristics of
Quantitative Data
• Measure of Central Tendency – I unit
• Measure of Dispersion
• Measure of Skewness
• Measure of Kurtosis
II unit

16. Averages or Measure of
Central Tendency
• Arithmetic Mean
• Median
• Mode
• Geometric Mean
• Harmonic Mean