- Descriptive Vs. Inferential Statistics
- Types of Measurement Scales
- Parameter, Sample Statistic, and Frequency Distribution
- Relative Frequencies and Cumulative Relative Frequencies
- Properties of a Data Set (Histogram / Frequency Polygon)
- Measures of Central Tendency
- Calculating Arithmetic Mean
- Calculating Weighted Average Mean
- Calculating Geometric Mean
- Calculating Harmonic Mean
- Calculating Median and Mode of a Data Set
- Quartiles, Quintiles, Deciles, and Percentiles
- Range and Mean Absolute Deviation
- Variance and Standard Deviation
- Chebyshev’s Inequality
- Coefficient of Variation
- Sharpe Ratio
- Skewness and Kurtosis
- Relative Locations of Mean, Median and Mode
Properties of a Data Set (Histogram / Frequency Polygon)
Histogram
The data in a frequency distribution can be presented using a histogram. A histogram is a bar chart with different intervals on the X-axis and the absolute frequencies on the Y-axis. The histogram for our data is presented below:
Frequency Polygon
A frequency polygon is similar to a histogram, except that the x-axis plots the mid-point for each interval. Instead of bars, the neighbouring points are connected by lines.
The interval mid points for our frequency intervals are 1, 3, 5, 7, and 9. The frequency polygon will look as follows:
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