What a Small Dataset Can Tell You
Calculate a mean, median and range, then keep the conclusion within the evidence
Adults learning basic descriptive statistics with fictional ordinary counts and times; no clinical interpretation, population estimates or consequential decision models.
Topics include “Identify the observations before summarising them”; “Calculate the arithmetic mean and inspect its behaviour”; “Find the median through ordered positions”.
Includes 6 practical chapters, an illustrative case, two printable worksheets, an action plan, and linked sources.
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- how to read statistics in news
Inside this guide
- Identify the observations before summarising them
- Calculate the arithmetic mean and inspect its behaviour
- Find the median through ordered positions
- Look at spread before calling the result typical
- Distinguish the observed group from a wider population
- Separate a description from an unsupported explanation
A little reading to begin with
A SAMPLE FROM CHAPTER ONEStart with a small fictional list: five recorded task times of 8, 9, 10, 11 and 12 minutes. Each value is one observation of the same defined kind. Before calculating, state what counts as a task, when timing begins and ends and which five tasks were included. A numerical list does not supply those definitions by itself. If one value measures waiting while another measures active work, combining them can create a neat result without a coherent interpretation. The first skill is identifying the quantity, not selecting an impressive formula.
Distinguish a measured number from a numerical category label. A code such as 1 for one preferred colour and 2 for another does not make their arithmetic mean a meaningful colour preference. For genuine times, minutes and seconds must be made compatible before combining values. Retain the unit beside the dataset and note any missing observations. Do not silently replace missing information with zero, because zero is an actual numerical value with a meaning. An absent record and a recorded zero are different inputs.
Keep the original values available during practice. Copying errors, repeated observations and changed definitions can affect a summary before any calculation begins. Read the list back against the example and count the observations. For this guide, use a small unweighted list with no missing values, so the operations can be inspected directly. A real report using weights, grouped intervals or repeated measures needs its own method. You can understand an ordinary dataset without pretending that every table is a simple list. State the relevant scope and definition before choosing which numerical feature you want to describe.
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