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Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
STATISTICS
Data
Collect
Arrange
AnalyzeInterpret
Present
Types of Statistics
Descriptive
Inferential
Statistics
Bushra Kazim Roll no.809 M.phil Education
Descriptive Statistics
Bushra Kazim Roll no.809 M.phil Education
Descriptive Statistics
Measure of
central
tendency
• Mean
• Median
• Mode
Measure of
variability
• Range
• variance
• Standard
Deviation
Bushra Kazim Roll no.809 M.phil Education
What do you mean by Measure of
Central tendency?????
A measurement of data that indicates
where the middle of the data lies.
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Measure of Dispersion
way of describing how
spread out a set of data is
Bushra Kazim Roll no.809 M.phil Education
Range
The Range is the difference
between the lowest and
highest values.
Example: In {4, 6, 9, 3, 7} the
lowest value is 3, and the
highest is 9.
• So the range is 9-3 = 6.
Bushra Kazim Roll no.809 M.phil Education
Variance
• Variance is a measurement of
the spread between numbers in a data
set. The variance measures how far each
number in the set is from the mean.
• Formula:
Bushra Kazim Roll no.809 M.phil Education
Standard Deviation
• a quantity expressing by how much the
members of a group differ from the mean
value for the group.
• Formula: The positive square root of the
Variance
Bushra Kazim Roll no.809 M.phil Education
Descriptive Statistics
Measures of
location
Mean
Median
Mode
Measures of
dispersion
Range
Variance
Standard
Deviation
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Use this data and
find out Mean,
Median, Mode,
Range, Variance
and Standard
Deviation on
Excel
A B
1 45
2 56
3 76
4 87
5 88
6 61
7 34
8 67
9 55
10 88
11 92
12 85
13 78
14 84
15 77
16 71.53
17 77
18 17.7
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Derived scores
Bushra Kazim Roll no.809 M.phil Education
Standard scores
• Standard scores use a common scale to
indicate how an individual compares to other
individuals in a group. The simplest form of
standard score is a z score.
Bushra Kazim Roll no.809 M.phil Education
Techniques for summarizing
Quantitative data
• Frequency polygon
• Skewed polygon
• Histogram
• Stem and leaf plots
• The Normal curve
• Averages
• Correlation
Bushra Kazim Roll no.809 M.phil Education
Normal Curve and 68-95-99.7 Rule
Bushra Kazim Roll no.809 M.phil Education
Frequency polygon
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Stem and leaf Plot
Marks in Math Quiz:
29, 37,32,46,45,45,54,51,55,55,55,60.
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
-ve and +ve Correlation
Bushra Kazim Roll no.809 M.phil Education
Correlation Co-efficient
• It shows the degree of relationship between
two variables.
• Denoted by “r”
• Value lies between -1 to +1
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Techniques for summarizing
Categorical Data
• Frequency Table
• Bar Graph
• Pie Charts
• The Cross Table
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Bar graph on the base of
Frequency Table
Bushra Kazim Roll no.809 M.phil Education
Bushra Kazim Roll no.809 M.phil Education
Techniques for summarizing Quantitative data
Bushra Kazim Roll no.809 M.phil Education

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