STATISTICS

Mathematical Statistics

Data

Data is a collection of facts, such as numbers, words, measurements, observations etc.

Types of Data-

1. Qualitative data- it is descriptive data.

Example- She can run fast, He is thin.

1. Quantitative data- it is numerical information.

Example- An Octopus is an Eight legged creature.

Types of quantitative data

• Discrete data- has a particular fixed value. It can be counted
• Continuous data- is not fixed but has a range of data. It can be measured.

Representation of Data-Formulas used

Sample Mean (x¯)	∑xn
Population Mean (μ)	∑xN
Sample Standard Deviation (s)	∑(x−x¯)2n−1−−−−−−√
Population Standard Deviation (σ)	σ=(x−μ)2N−−−−−√
Sample Variance (s2)	s2=∑(xi−x¯)n−1
Population Variance (σ2)	σ2=∑(xi–x¯)N<
Range (R)	Largest data value – smallest data value

Application

• Some of the application of statistic are given below:
• Applied statistics, theoretical statistics and mathematical statistics
• Machine learning and data mining
• Statistics in society
• Statistical computing
• Statistics applied to Mathematics or the arts
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