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Assessment Task A – Learning Object. RELATIVE FREQUENCY By Staceylee, Courtney & Heather. Today's Lesson Includes;. Introduction of topic - What is relative frequency? Worked Example Introduce Learning Object Real Life Contexts
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Assessment Task A – Learning Object RELATIVE FREQUENCY By Staceylee, Courtney & Heather
Today's Lesson Includes; Introduction of topic - What is relative frequency? Worked Example Introduce Learning Object Real Life Contexts 3 Digital Resources Explained & Evaluated using PMI (Plus Minus Interesting) Wrap Up Questions
Relative Frequency • Probability based on an experiment which is written as a ratio (or fraction) comparing the number of times an event occurred to the number of trials. What is Relative Frequency? (Experimental Probability) Relative Frequency formula Relative Frequency = number of times an event occurred Number of trials
When you gather data by observing a random event, you can calculate the Relative Frequency (experimental probability). In order to calculate the relative frequency of a random event, you use the following rule/ formula:(event) is the eventP (event) = number of times an event occurs number of trialswhere P is the probability
Another way to write the rule for relative frequency is; Relative Frequency = f ∑f
EXAMPLE 1A student flipped a coin 50 times. The coin landed on HEADS 28 times. Find the relative frequency (experimental probability) of having the coin land on HEADS. Write Number of times coin landed on HEADS = 28 Total number of coin flips = 50 P(event) = number of times the event occurred Total number of trials P(HEADS) = 28 50 The experimental probability of the coin landing on HEADS is 28 = 0.56 = 56% 50 Think Write the number of times the coin landed on HEADS and the total number of coin flips Write the rule for relative frequency (experimental probability) Substitute the known values into the rule Answer the question
Real life Contexts • Apart from gambling, (mention Las Vegas) the theory of probability can help us make relatively reasonable choices in our daily lives. • Students choose college courses which have a high probability of leading to employment after college. • Many people have left New Orleans for good because there is a high probability of devastating hurricanes in that region. • People don’t smoke because there is a high probability of their developing cancer as a result of smoking.
Real Life Context cont. • Probability has widespread use in business, science and industry. Its uses range from the determination of life insurance premiums • Sporting uses - in tennis the player knows his relative frequency of wins in relation to whether he serves or receives first. • In cricket teams know the relative frequency of wins in relation to the pitch conditions
Digital Resource 1 Websites • Experimental Probability Digital Resource - Joseph L. Coffman (2010) http://www.jcoffman.com/Algebra2/ch1_6.htm • Relative Frequency Quiz – Lesson 6 Quiz - Pearson Prentice Hall Mathematics: Prentice Hall’s online practice test (enter this web code to play: aga – 0106) http://www.phschool.com/webcodes10/index.cfm?wcprefix=aga&wcsuffix=0106&area=view&x=8&y=10
Digital Resource 2 http://www.zweigmedia.com/RealWorld/tutorialsf15e/frames6_2.html
Digital Resource 3
For more info go to...https://usingrealativefrequency.wikispaces.com/ Staceylee Courtney Heather