The document discusses the fundamental concepts of statistics, outlining its definitions, importance, and various data types. It emphasizes the methods of data collection, including interviews and surveys, and introduces frequency distribution tables with an example. The document also covers measures of central tendency and provides different types of averages such as arithmetic mean, median, and mode.

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