Page 538 - Algebra 1

L E S S O N Calculating Frequency Distributions 80
Warm Up
1. Vocabulary A is a value that describes the center of a data set
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Find the theoretical probability of each outcome. 2. flipping one coin and having it land tails up
(14)
3. randomly choosing a yellow marble from a bag of 3 yellow marbles and
(14)
7 blue marbles
4. rolling a 1 on a number cube labeled 1-6
(14)
5. randomly choosing the letter A from the letters in MATH (14)
and includes the mean, median, and mode.
New Concepts Discrete events have a finite number of outcomes. A compound event is an event consisting of two or more simple events. A simple event could be
Math Reasoning
Analyze Why is rolling cubes with a sum of 7 more likely than rolling any other sum?
Math Language
Frequency is how often something happens.
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Probability
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Frequency
Online Connection www.SaxonMathResources.com
tossing heads on a coin. A compound event could be tossing heads and then tails on a coin.
A frequency distribution shows the number of observations falling into several ranges of data values. Tables, graphs, tree diagrams, and lists are used to show frequency distributions.
Exploration Displaying Frequency Distributions
The likelihood of a particular sum, when two number cubes are rolled, is determined by the number of different sums that can be made with the two cubes.
a. Make a table or tree diagram to show the different possible sums, or outcomes.
b. Complete the table showing the probability of each sum, or outcome.
c. Roll two differently colored number cubes 50 times. Use a frequency table to record the number of times each outcome occurs.
d. Use a bar graph to display your results.
e. Based on the theoretical probabilities you calculated, are your results what you expected?
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