Table of Contents
Introduction of Statistics and its Types
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. It is a branch of mathematics that is used in many fields, including natural sciences, social sciences, engineering, and business.
There are two main types of statistics: descriptive and inferential. Descriptive statistics is used to describe a set of data, while inferential statistics is used to infer information from a set of data.
What is Statistics?
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. It is a branch of mathematics that uses mathematical techniques to infer information from data.
Terminologies used in Statistics
1. Population: The complete set of all objects that are of interest is called population.
2. Sample: A subset of the population is called a sample.
3. Random Sample: A sample that is selected by using a random process is called a random sample.
4. Parameter: A numerical characteristic of a population is called a parameter.
5. Statistic: A numerical characteristic of a sample is called a statistic.
Types of Statistics
Descriptive Statistics
A type of statistics that is used to describe or summarize a set of data. It includes techniques such as averages, measures of central tendency, and measures of dispersion.
Inferential Statistics
A type of statistics that is used to make inferences about a population from a sample. It includes techniques such as hypothesis testing and confidence intervals.
Mean, Median and Mode in Statistics
The three most common measures of central tendency are mean, median and mode.
The mean is the most common measure of central tendency. The mean is the sum of all the data points divided by the number of data points.
The median is the middle number in a set of data. If there is an even number of data points, the median is the average of the two middle numbers.
The mode is the most common value in a set of data.
Variability Measurement in Statistics
The variability of a set of data is a measure of how much the data points in the set differ from each other. This measure is important in statistics, as it can help to identify patterns and trends in data. There are a variety of different ways to measure variability, each with its own strengths and weaknesses. One of the most common measures of variability is the standard deviation, which is calculated by taking the square root of the variance.
Simple Statistics Questions
1. What is the mean of the data set?
The mean of the data set is 2.
2. What is the median of the data set?
The median of the data set is 1.
3. What is the mode of the data set?
The mode of the data set is 1.
Uses of Statistics in Real-life Situations
Athletes use statistics to compare their own performance to that of other athletes.
A business might use statistics to compare the sales of one product to the sales of another product.
A doctor might use statistics to compare the success rates of two different treatments for a disease.
