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INTRODUCTION
1.The word “statistics” is used in both its singular and plural
form.
2.In singular sense it is the science of collection, presentation,
analysis, and interpretation of numerical data.
3.In plural sense it means numerical facts or observations
collected with definite purposes.
4. For example, expenditure and income of persons in a
particular locality are statistics.
1.Statistics are expressed quantitavely and not
qualitatively.
2.A single observation doesn't form statistics. It
is a sum of total observation.
3.Statistics are collected with a definite purpose.
4.Statistics in an experiment are comparable and
can be classified into various groups.
STATISTICAL DATA
The word data means information. Statistical data’s are of two
types 1.PRIMARY DATA 2.SECONDARY DATA.
Primary Data- When an investigator collects data himself
with a definite plan or design in his/her mind it is primary data.
For example- data in a population census.
Secondary Data- Data which are not originally collected
rather obtained from published or unpublished sources are
secondary data.
For example- literature reviews, case studies.
Frequency distribution is a method to present raw
data in the form which one can easily understand
the information contained in the raw data.
Discrete Frequency Table- It is constructed from
the given data by the use of the method of tally
marks.
Grouped Frequency Table- A frequency
distribution is table that categorizes scores by
intervals.
Grouped Frequency Table
Discrete Frequency Table
STATISTICAL GRAPHS
One goal of statistics is to present data in a meaningful
way. It's one thing to see a list of data on a page, it's
another to understand the trends and details of the data.
1.BAR GRAPHS- It is a pictorial representation of the
numerical data by a number of rectangular bars of uniform
width erected vertically or horizontally with equal spacing
between them.
Each bar represents one numerical data.
The height and length of bars are corresponding to the
numerical data.
title
Data on y-
axis
Data on x- axis
bar
scale
HISTOGRAM-1.A histogram is a representation of frequency
distribution in the form of rectangles.
2.A histogram is made with the help of class intervals.
3.Bases and heights are corresponding to frequencies. There is
no gap between two rectangles.
Data on y-
axis
title
Data on x- axis
bar
scale
FREQUENCY POLYGON-1. A frequency polygon shows a
frequency distribution emphasizing the overall pattern in the
data.
2. It is constructed from a histogram. The frequency polygon
is a polygon - a closed two-dimensional figure of straight line
segments - joining the mid points of the top of the bars
histogm.
title
Data on y-
axis scale
Data on x- axis
MEAN, MODE AND MEDIAN
MEDIAN- Median of a distribution is the value of the
variable which divides the distribution into two equal parts.
In other ways it is the middle most value.
If ‘n’is an odd number then the value of median= (n+1)/2
If ‘n’ is an even number then the value of median= [(n/2) or
(n/2+1
MODE-It is the most frequently occurring observation.
MEAN-It is simply the average of all the observations.
It is calculated by adding all the values of observation and
dividing it by the total number of observations.
x = {x1+x2……….xn/} No. of observations
THANK YOU
MADE BY : AKSHIT GOEL AND RISHABH
GARG

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Statistics -copy_-_copy[1]

  • 1.
  • 2. INTRODUCTION 1.The word “statistics” is used in both its singular and plural form. 2.In singular sense it is the science of collection, presentation, analysis, and interpretation of numerical data. 3.In plural sense it means numerical facts or observations collected with definite purposes. 4. For example, expenditure and income of persons in a particular locality are statistics.
  • 3. 1.Statistics are expressed quantitavely and not qualitatively. 2.A single observation doesn't form statistics. It is a sum of total observation. 3.Statistics are collected with a definite purpose. 4.Statistics in an experiment are comparable and can be classified into various groups.
  • 4. STATISTICAL DATA The word data means information. Statistical data’s are of two types 1.PRIMARY DATA 2.SECONDARY DATA. Primary Data- When an investigator collects data himself with a definite plan or design in his/her mind it is primary data. For example- data in a population census. Secondary Data- Data which are not originally collected rather obtained from published or unpublished sources are secondary data. For example- literature reviews, case studies.
  • 5. Frequency distribution is a method to present raw data in the form which one can easily understand the information contained in the raw data. Discrete Frequency Table- It is constructed from the given data by the use of the method of tally marks. Grouped Frequency Table- A frequency distribution is table that categorizes scores by intervals.
  • 7. STATISTICAL GRAPHS One goal of statistics is to present data in a meaningful way. It's one thing to see a list of data on a page, it's another to understand the trends and details of the data. 1.BAR GRAPHS- It is a pictorial representation of the numerical data by a number of rectangular bars of uniform width erected vertically or horizontally with equal spacing between them. Each bar represents one numerical data. The height and length of bars are corresponding to the numerical data.
  • 8. title Data on y- axis Data on x- axis bar scale
  • 9. HISTOGRAM-1.A histogram is a representation of frequency distribution in the form of rectangles. 2.A histogram is made with the help of class intervals. 3.Bases and heights are corresponding to frequencies. There is no gap between two rectangles. Data on y- axis title Data on x- axis bar scale
  • 10. FREQUENCY POLYGON-1. A frequency polygon shows a frequency distribution emphasizing the overall pattern in the data. 2. It is constructed from a histogram. The frequency polygon is a polygon - a closed two-dimensional figure of straight line segments - joining the mid points of the top of the bars histogm. title Data on y- axis scale Data on x- axis
  • 11. MEAN, MODE AND MEDIAN MEDIAN- Median of a distribution is the value of the variable which divides the distribution into two equal parts. In other ways it is the middle most value. If ‘n’is an odd number then the value of median= (n+1)/2 If ‘n’ is an even number then the value of median= [(n/2) or (n/2+1
  • 12. MODE-It is the most frequently occurring observation. MEAN-It is simply the average of all the observations. It is calculated by adding all the values of observation and dividing it by the total number of observations. x = {x1+x2……….xn/} No. of observations
  • 13. THANK YOU MADE BY : AKSHIT GOEL AND RISHABH GARG