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📊 Statistics Basics

Turn raw data into insight: averages, spread, sampling, and correlation.

lessons

~30 min

to learn

🔢 Math

subject

Teens

level

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What you’ll learn

Distinguish data types and describe the center with mean, median, and mode.Statistics collects and interprets data. Mean, median, and mode each summarize the center differently, and knowing the data type determines which measure and graph are appropriate.
Quantify and interpret spread using range, standard deviation, and percentiles.Spread reveals how reliable an average is. Standard deviation measures typical distance from the mean, percentiles rank values, and reading graphs carefully guards against distortion.
Reason about sampling, bias, and the difference between correlation and causation.Samples let us infer about populations when chosen randomly and free of bias. Correlation shows association, but only controlled experiments establish causation.

Questions this course answers

The middle value of a sorted dataset is the:

The median is the middle value once the data is ordered.

Which measure is most distorted by a single extreme value?

The mean is pulled toward outliers, unlike the more robust median.

The most frequently occurring value in a dataset is the:

The mode is the value that appears most often.

Standard deviation measures:

Standard deviation describes variation, or spread, around the mean.

In a bell-shaped distribution, roughly what percent of values fall within one standard deviation of the mean?

By the empirical rule, about 68 percent fall within one standard deviation.

Scoring in the 90th percentile means you scored:

The 90th percentile means you matched or beat 90 percent of others.

Grounded in trusted sources

Measures of Central Tendency, Laerd Statistics, https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-mode-median.php
How Do I Use Mean, Median, Mode, and Standard Deviation?, SERC Carleton, https://serc.carleton.edu/mathyouneed/geomajors/intro-stats/index.html
Introductory Statistics, OpenStax (Illowsky & Dean, 2018), https://openstax.org/details/books/introductory-statistics
Statistics and probability, Khan Academy, https://www.khanacademy.org/math/statistics-probability

Every Wunder lesson is built from real, reputable sources — never invented.

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