Lesson: Standard Deviation of Discrete Random Variables Mathematics • 10th Grade

In this lesson, we will learn how to calculate the standard deviation and coefficient of variation of discrete random variables.

Lesson Plan

Students will be able to

calculate the standard deviation of a discrete random variable from a table,
calculate the standard deviation from a probability distribution function of a discrete random variable,
calculate the standard deviation of a discrete random variable from a graph or a word problem describing a real-world system,
calculate the coefficient of variation of a discrete random variable from a table,
calculate the coefficient of variation from a probability distribution function of a discrete random variable,
calculate the coefficient of variation of a discrete random variable from a graph or a word problem describing a real-world system,
find unknowns where the standard deviation or coefficient of variance is given.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

The function in the given table is a probability function of a discrete random variable . Find the standard deviation of . Give your answer to two decimal places.

Q2:

Let denote a discrete random variable which can take the values . Given that has probability distribution function , find the standard deviation of . Give your answer to 2 decimal places.

Q3:

Work out the standard deviation of the random variable whose probability distribution is shown. Give your answer to two decimal places.