Normal Distribution & Types of Error

Lecture-7

By Dr. Atul Deshmukh

Certificate Course sponsored & Organized by
Dept. of StatisticsPCRC

Terminologies in Statistics

Characteristics

The qualities and measurements in a population which differentiate the population. e.g. age, height, weight.

Two main types of Characteristics: 1. Attribute 2. Variate/Variable

01. Attribute: Characteristic which is recorded in the data as label or text. .e.g. gender, blood group.

  • Dichotomous Attribute: When individual divided in to two groups based on attribute. For e.g: Gender: Male & Female

  • Polytomous Attribute: Attribute can be grouped into multiple categories. Blood groups.

2. Variate: A characteristic which is recorded as numerals.

  • Continuous Variable: Characteristic can assume as value in fractions or decimals. For e.g. height, weight.

  • Discrete Variable/Variate: A discrete variable can not assume value in fractions, but it will always be a round figure. For e.g The participants of the SPSS course.

Population
Aggregate of all objects or units or individuals is called as population.
Statistical population/Census
Collections of all data values on interested characteristics
Sample
It is not possible to collect data for all population units. In this situation, we collect data for only some units of population called as sample.
Sampling Unit
Each element of population is called as sampling unit.
Sampling Frame
An exhaustive list of all elements of population
Parameter
The constant which describe the population. Parameter is always single. µ is population mean.
Statistics
The constant which describe the sample. Statistics can be multiple. X-bar is sample mean.

Normal Distribution

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Position of the Normal Curve

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Shape of the Normal Curve

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Z Distribution

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