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Math 20-2 Statistics: Lesson #5 Comparing Normally Distributed Data Objective: By the end of the lesson, you should be able to: - Compare the properties of two or more normally distributed data sets. Key Point: The height, width, and position on the horizontal axis of a normal curve changes depending on the mean and standard deviation. e.g. 1) A men’s and women’s baseball team flew to the North American Indigenous Games. The members of each team had carry-on luggage for their sports equipment. The masses of the carry-on luggage were normally distributed with the characteristics shown in the table below: Team (kg) (kg) Men 6.5 1.0 Women 6.5 0.5 a) Sketch a normal curve to show the distribution of the masses of the carry-on luggage for each team. Draw both curves on the same grid. Remember: The area under each curve has to be the same: 100% of the data. b) The women’s team won the championship. Each member received a medal and a souvenir baseball, with a combined mass of 1.0 kg, which they packed in their carryon luggage. Sketch a graph to show how the distribution of the masses of the women’s carry-on luggage changed for their flight home. Math 20-2 Statistics: Lesson #5 Summary: How does a change in mean and standard deviation affect a normal curve? Change in mean ( ) – Change in standard deviation ( ) – e.g. 2) Consider the following four graphs of normal distributions, drawn using the same scale. Rank them in order of increasing standard deviation. Assignment: p. 279-282 #1, 6-7, 9-11, 14, 16