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Master Data Analysis with Five-Number Summaries, Interquartile Ranges, and Box Plots

Five-Number Summary and Interquartile Range with Box Plot Worksheet

This page provides a comprehensive worksheet to help you master five-number summaries, interquartile ranges, and box plots. You’ll learn how to analyze data effectively, identify outliers, and understand data distribution using these tools. Perfect for students and educators alike, the worksheet is designed to enhance your data analysis skills with practical exercises and clear explanations.

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Key Terms & Definitions

Essential concepts and terminology to understand this topic

Five-number summary

A set of five descriptive statistics — minimum, Q1, median, Q3, and maximum — used to summarize a dataset.

Related Terms:Descriptive Statistics

Minimum

The smallest data point in a dataset.

Related Terms:Lower Bound

Q1 (First Quartile)

The median of the lower half of a dataset, representing the 25th percentile.

Related Terms:Lower Quartile

Median

The middle value of a dataset when ordered, dividing it into two equal halves.

Related Terms:Second Quartile

Q3 (Third Quartile)

The median of the upper half of a dataset, representing the 75th percentile.

Related Terms:Upper Quartile

Maximum

The largest data point in a dataset.

Related Terms:Upper Bound

Range

The difference between the maximum and minimum values in a dataset.

Related Terms:Spread

Interquartile Range (IQR)

The range between Q3 and Q1, representing the middle 50% of the data.

Related Terms:Data Spread

Outlier

A data point significantly different from other values in a dataset, often identified using IQR.

Related Terms:Anomaly

Box Plot

A graphical representation of the five-number summary, showing the distribution of a dataset.

Related Terms:Box-and-Whisker Plot

Whiskers (in Box Plot)

Lines extending from the box in a box plot to the minimum and maximum values, excluding outliers.

Related Terms:Range Lines

Data Distribution

The way data values are spread or arranged in a dataset.

Related Terms:Frequency Distribution

Symmetry in Data

A dataset is symmetric if its distribution is mirrored around the median.

Related Terms:Balanced Data

Skewness

A measure of the asymmetry in the distribution of data values.

Related Terms:Asymmetry

Dataset

A collection of data points or values used for analysis.

Related Terms:Data Collection

Frequently Asked Questions