FREQUENCY DISTRIBUTION WITH CLASSES ✅ STATISTICS
Constructing a Frequency Distribution Table
FREQUENCY DISTRIBUTION
In statistics, a frequency distribution is an arrangement of values that one or more variables take in a sample. Each entry in the table contains the frequency or count of occurrences of values within a specific group or range, and thus the table summarizes the distribution of values in the sample.
Frequency Distribution Exercises
A die was rolled 50 times and the following results were recorded:
5 4 6 1 2 5 3 1 3 3
4 4 1 5 5 6 1 2 5 1
3 4 5 1 1 6 6 2 1 1
4 4 4 3 4 3 2 2 2 3
6 6 3 2 4 2 6 6 2 1
Construct a frequency distribution without class interval.
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1 Descriptive statistics and exploratory data analysis: graphs, diagrams, tables, descriptive measures (position, dispersion, skewness and kurtosis).
2 Probability. 2.1 Basic definitions and axioms. 2.2 Conditional probability and independence. 2.3 Discrete and continuous random variables. 2.4 Probability distribution. 2.5 Probability function. 2.6 Probability density function.
2.7 Expectation and moments. 2.8 Special distributions. 2.9 Conditional distributions and independence. 2.10 Transformation of variables. 2.11 Laws of large numbers. 2.12 Central limit theorem. 2.13 Random samples. 2.14 Sampling distributions.
3 Statistical inference. 3.1 Point estimation: estimation methods, properties of estimators, sufficiency. 3.2 Interval estimation: confidence intervals, credibility intervals. 3.3 Hypothesis testing: simple and compound hypotheses, significance levels and power of a test, Student's t-test, chi-square test.
4 Linear regression analysis. 4.1 Least squares and maximum likelihood criteria. 4.2 Linear regression models. 4.3 Inference on model parameters. 4.4 Analysis of variance. 4.5 Residual analysis.
5 Sampling techniques: simple random, stratified, systematic and cluster sampling.
5.1 Sample size.