University Introductory Statistics Descriptive Statistics — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 7 definitions and 4 theorems, 5 worked examples, 2 diagrams, in 15 printable pages. This page lists what the notes cover. The notes themselves come with the University Introductory Statistics bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Descriptive Statistics — what the notes cover
6 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Types of variables and frequency tables
- Definition — The four types of variable
- Definition — Frequency, relative frequency and cumulative relative frequency
Also in this section: 1 worked example, 1 note on method and common errors.
Histograms and the shape of a distribution
- Definition — The histogram and the density scale
- Definition — The shapes a distribution takes
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Mean, median and mode
- Definition — Mean, median and mode
- Theorem — The mean from a frequency table and from groups
Also in this section: 1 worked example, 1 note on method and common errors.
Variance and standard deviation
- Definition — Sample variance and sample standard deviation
- Theorem — The computing formula
- Theorem — A linear change of units
Also in this section: 1 worked example, 1 note on method and common errors.
Quartiles, boxplots and outliers
- Definition — Quartiles, the interquartile range and the five-number summary
- Theorem — The rule and the modified boxplot
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Where the notes are
The notes are one of the documents in the University Introductory Statistics Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Descriptive Statistics practice worksheet is free and stays free.
Every University Introductory Statistics topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Introductory Statistics units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Descriptive Statistics practice worksheet About the Descriptive Statistics unit test