Summary – Statistics
Summary statistics in statistics are a subset of descriptive statistics, which is one of the statistical types and provides a list of details regarding sample data. We know that statistics deals with the quantitative and visual display of data.
So, summarising statistical data is what summary statistics do. In general, summary statistics are concerned with simplifying the data so that the observer can quickly grasp it. Statisticians typically try to explain the observations by determining:
- Average or measure of central tendency for the data, such as the arithmetic mean.
- Measurement of distributional characteristics such as skewness or kurtosis.
- Measure of dispersion such as Standard mean absolute deviation.
- Measure of statistical dependency such as the correlation coefficient.
Summary Statistics Table
It is the visual representation of statistical information that is summarized in tabular form.
For instance, the favorite fruit of 25 people is mango, orange, mango, mango, apple, apple, guava, guava, strawberry, mango, apple, grapes, orange, apple, mango, strawberry, guava, orange, mango, apple, guava, guava, grapes, grapes, mango.
Fruit | No. of Students |
---|---|
Mango | 7 |
Apple | 5 |
Strawberry | 2 |
Orange | 3 |
Guava | 5 |
Grapes | 3 |
Total | 25 |
Thus, the summary statistics table tells us that 7 students have their favorite fruit as mango, 5 students have apple as their favorite people, 2 students have strawberry as their favorite fruit, 3 students have orange as their favorite fruit, 5 students have guava as their favorite fruit,3 students have grapes as their favorite fruit. Summary Statistics is used to interpret big data and predict accurate results.
Statistics in Maths
Statistics in Maths: Statistics constitutes a mathematical discipline focused on gathering, scrutinizing, interpreting, and portraying data. While some view it as a standalone scientific field, others classify it as a separate branch within mathematics.
In simpler words, it is a field to collect and summarize data. There are two important principles involved in statistics they are, uncertainty and variation. These two factors can be calculated only through statistical analysis. This uncertainty in events is determined with the help of probability which plays an important role in the field of statistics.
Statistics has a wide range of applications in many disciplines, including economics, psychology, geology, weather forecasts, and so on. The information gathered for research here may be quantitative or qualitative. Quantitative data can also be divided into two types: discrete and continuous. Continuous data has a spectrum rather than a single value, whereas discrete data has a fixed value.
Table of Content
- What is Statistics?
- Examples of Statistics
- Basics of Statistics
- What is Mathematical Statistics?
- Types of Statistics
- Statistics Formulas
- Scope of Statistics
- Methods in Statistics
- What is Data in Statistics?
- Types of Data
- Types of Quantitative Data
- Statistical Data
- Representation of data
- Statistical Methods
- Measures of Central Tendency
- Measures of Dispersion
- Skewness in Statistics
- ANOVA Statistics
- Degree of Freedom
- Regression Analysis
- Applications of Statistics