The Mean:

Definition | Weighted mean | The mean of a categorical variable | Challenge question

EXTRA - Advanced Means:

Arithmetic mean | Geometric mean | Harmonic mean | Cool challenge question!

Notes: Justin uses the phrase “the mean is the cheeseburger of descriptive stats”.

The Median:

Definition | Mean versus Median | Challenge Question

Notes: Justin decides that toilet humour is not beneath him.

The Mode:

Definition | Why the mode sucks for small samples | Mean vs Median vs Mode | Challenge Question

Notes: Justin pronounces “a la mode” like a boss.

Quantiles:

Quartiles | Percentiles | Deciles | Crocodiles?

Notes: No crocodiles appear in the video

Range and IQR (Interquartile Range)

Range | IQR | Box and Whisker plots

Notes: Justin professes his love of Gelato Messina’s pistachio praline.

Variance and Standard deviation:

Definition | Why do we need variance? | Why divide by n-1? | Degrees of freedom

Click here for spreadsheet used in video

Coefficient of Variation:

Definition | Why do we need it? | Practical Example | Challenge Question

Skewness

Definition | Pearson’s method | Method of moments | Visualisation | Challenge Question

Notes: Justin experiences a dream sequence

Kurtosis

Definition | Calculation | Types | The “Peakedness” Controversy

Notes: How do YOU pronounce “controversy”?

Standard Error (of the sample mean)

Definition | Confidence Intervals | Standard Error of the Sample Proportion | Challenge Question

Moments

Definition | Intuition behind moments | Crude vs Centred vs Standardised moments | Sampling adjustments

Covariance and Correlation

How do we assess the relationship between two variables?? Covariance and correlation are two related measures. Let’s find out how they work!