Spread

Name: Spread
Author: StemPy Lab

In this short course you find the range, the quartiles and the interquartile range, draw a box plot, and find the standard deviation step by step. You learn which measure of spread to use, and what happens to it when every value changes. The code boxes only need Run and a few changed numbers.

3 lessons, about 1 h 25 min3 simulations10 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 35 min
Range and quartiles
The range is the largest value minus the smallest, but one extreme value can make it huge. The quartiles split sorted data into four equal parts: Q1 is the median of the lower half and Q3 is the median of the upper half. The interquartile range, Q3 minus Q1, is the width of the middle half, and a box plot draws it.
1 simulation2 practice questions2 Python programs6 problems1 Python lab1 question set
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Lesson 2about 25 min
Standard deviation
The standard deviation tells us how far a typical value is from the mean. Find each distance from the mean, square it, find the mean of the squares, which is the variance, then take the square root. It is in the same units as the data. A small standard deviation means the values are close to the mean, and zero means they are all equal.
1 simulation2 practice questions1 Python program2 problems
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Lesson 3about 25 min
Comparing spread
Two data sets can have the same mean and a very different spread. Use the standard deviation with the mean when the data is fairly even, and the IQR with the median when there are outliers. Adding the same number to every value leaves the spread unchanged. Multiplying every value by k multiplies the spread by k. The mean and the median change along with the values.
1 simulation2 practice questions1 Python program2 problems1 Python lab1 note
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Spread: Mock Exam

10 questions · 15 min

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Spread

Course outline (3 lessons)

Range and quartiles

Standard deviation

Comparing spread

Test Your Learning

Your teacher

Discussion (0)