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The videos below explore all of the common measures used to describe a single variable. From means to medians, standard deviation to kurtosis!

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 0:53 Definition 3:30 Weighted Mean 6:14 Mean of a categorical variable?? 7:56 Challenge Question Series music by Purdy. https://purdy.bandcamp.com/ Song: 3 Friends to the Stars

The Mean:

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

See all my videos at http://www.zstatistics.com/

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”.

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 1:02 Definition 4:48 Mean vs Median 8:52 Challenge Question Series music by Purdy. https://purdy.bandcamp.com/ Song: 3 Friends to the Stars

The Median:

Definition | Mean versus Median | Challenge Question

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

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 0:27 Definition 5:09 Mean vs Median 8:17 Challenge Question Series music by Purdy. https://purdy.bandcamp.com/ Song: 3 Friends to the Stars

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.

See all my videos at http://www.zstatistics.com/videos/

Quantiles:

Quartiles | Percentiles | Deciles | Crocodiles?

Notes: No crocodiles appear in the video

See all my videos at http://www.zstatistics.com 0:00 Intro 0:39 Definition of range 1:25 Definition of IQR (Interquartile Range) 4:12 Box and Whisker plot Music by Purdy. https://purdy.bandcamp.com/ Song: 3 friends to the stars Thanks to Siddharth Prabhu for picking up an omission from the first version of the video

Range and IQR (Interquartile Range)

Range | IQR | Box and Whisker plots

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

See all my videos at www.zstatistics.com :) This video covers a few pesky concepts that are often glossed over. 0:00 Variance and standard deviation recap 2:39 Why do we bother with "variance" at all (ie. why square stuff)? 6:55 Why do we divide by n-1? 10:47 What do we mean by degrees of freedom?

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

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 0:33 Definition 0:46 Example 1 (Theoretical) 3:45 Example 2 (Practical) 5:52 Challenge Question

Coefficient of Variation:

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

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 4:28 Skewness calculation: Pearson 7:06 Skewness calculation: Moment-based 12:56 Skewness visualisation 14:02 Challenge question For the moment video, see here: http://www.zstatistics.com/descriptive-statistics/ (will be up Feb 2019).

Skewness

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

Notes: Justin experiences a dream sequence

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 1:05 Definition of kurtosis 3:30 How to calculate kurtosis 7:11 Describing kurtosis 9:45 Controversy!

Kurtosis

Definition | Calculation | Types | The “Peakedness” Controversy

Notes: How do YOU pronounce “controversy”?

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 1:20 Definition 6:40 Confidence Intervals 12:51 Proportions 17:16 Challenge Question

Standard Error (of the sample mean)

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

See all my videos at http://www.zstatistics.com/videos/ 0:00 Introduction 1:23 Intuition behind moments 9:23 Higher order moments 12:10 Sampling adjustments

Moments

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

0:00 Introduction | 1:09 Definition | 2:48 Covariance and Correlation from a sample | 9:55 Covariance and Correlation from a probability distribution (using ...

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!