Comparing and Combining Data

Name: Comparing and Combining Data
Author: StemPy Lab

Which of two bowlers is more consistent, when one takes more wickets on average? Which batch of bulbs is steadier? The standard deviation alone cannot answer, because it depends on the size of the numbers. Use the coefficient of variation to compare. See what happens to the mean and the spread when every value changes, and how to combine two groups, or correct a wrong reading, without starting again. Finish with quartiles, box plots and the rule for outliers. It covers the second part of the Indian syllabus unit (NCERT, JEE Main) and the matching topics of A-Level, IB and AP.

3 lessons, about 1 h 25 min3 simulations10 problems3 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 30 min
Coefficient of variation and changing every value
The standard deviation depends on the size of the numbers, so two data sets in different units cannot be compared by it. The coefficient of variation divides the spread by the mean. This lesson also shows what happens to the mean and the spread when every value is shifted or scaled.
1 simulation1 practice question2 Python programs3 problems
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Lesson 2about 25 min
Combined mean and combined variance
Two classes have been marked separately and each class has its own mean and standard deviation. The combined mean is a weighted mean. The combined variance needs the spread inside each group and also the distance of each group mean from the combined mean. The same method corrects a wrong reading.
1 simulation1 practice question1 Python program4 problems1 Python lab
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Lesson 3about 30 min
Quartiles, box plots and outliers
The quartiles cut ordered data into four equal parts. The distance between the first and third quartile is the interquartile range, a spread that one odd reading cannot ruin. A box plot draws the five-number summary, and a fence rule marks outliers.
1 simulation1 practice question1 Python program3 problems1 Python lab1 question set1 note
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Comparing and Combining Data: Timed Test

10 questions · 25 min

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Comparing and Combining Data

Course outline (3 lessons)

Coefficient of variation and changing every value

Combined mean and combined variance

Quartiles, box plots and outliers

Test Your Learning

Your teacher

Discussion (0)