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Week 1: Descriptive Statistics (3 Measures of Central Tendency (Median:…
Week 1: Descriptive Statistics
2 Types of Variables
Categorical: NOT measured numerically
Ordinal: includes ranking
Nominal: No ranking is needed
Quantitative: Measured numerically
Continuous: Involves decimal values
Discrete: Involves Integer values
3 Measures of Central Tendency
Median: Considers the value of mid-point data
Arrange the data in ascending order before finding the median
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(Formula when n is odd) [(n+1) /2]th position
(Formula when n is even) Average of (n/2)th and (n+1/2)th positions
Mode: the data value that appears the most
A set of data can have more than 1 mode
Mean: Average
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Organising & Presenting raw data
Organising
Ungrouped: Arrange as individual data points
Grouped: Arranged data points in intervals
Presenting
Frequency tables
Bar charts
Histograms
Stem-and-Leaf
3 Measures of Variability
Interquartile range: The difference in value between 75th percentile and 25th percentile
Set of data can be grouped into 3 quartiles
Symbol: IQR
Variance: Spread of each data point from the mean
Standard deviation: Square root of variance
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Range: Measures the difference between the largest data value and the smallest