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Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is = The men's standard deviation is The man's z-score is z = (x - p)/o = ( _- So standard deviations from the mean Zman = The woman's height is x = The women's mean is The women's standard deviation is The woman's z-score is z = (x - p)/o = (___- standard deviations from the mean So Zwoman %3D Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th

Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is = The men's standard deviation is The man's z-score is z = (x - p)/o = ( _- So standard deviations from the mean Zman = The woman's height is x = The women's mean is The women's standard deviation is The woman's z-score is z = (x - p)/o = (___- standard deviations from the mean So Zwoman %3D Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is The men's standard deviation is O = The man's z-score is z = (x - p)/o = (__- So Zman standard deviations from the mean The woman's height is X = The women's mean is The women's standard deviation is O = The woman's z-score is z = (x - p)/o = (_ standard deviations from the mean So %3D Zwoman Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75h
Transcribed Image Text:Math 11 Elementary Statistics In Class 3.3 Measures of Position (or location) Name Date Example 1: Computing and interpreting z- Scores A National Center for Health Statistics study states that the mean height for adult men in the United States is u = 69.4 inches, with a standard deviation of o = 3.1 inches. The mean height for adult women is u = 63.8 inches, with a standard deviation of o = 2.8 inches. Who is taller relative to their gender, a man 73 inches tall, or a woman 68 inches tall? Work through this problem in steps: The man's height is X = The men's mean is The men's standard deviation is O = The man's z-score is z = (x - p)/o = (__- So Zman standard deviations from the mean The woman's height is X = The women's mean is The women's standard deviation is O = The woman's z-score is z = (x - p)/o = (_ standard deviations from the mean So %3D Zwoman Which one is larger? Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75h
percentile and its value is Example 3: Use the same data, from example 2. L = .60(11) = 6.6 which rounds to 7, so the 7th number is the 60th percentile and its value is Example 4: Use the same data, from example 2. Find the percentile of 0.29 There are 7 values less than 0.29 The percentile = 100[(7 + 0.5)/11] = 68.18 or 68.2 So the result 0.29 corresponds to the 68" percentile. Example 5: complete the table. Use the same data, from example 2. Min. Q, Q2 or Med Q, Max Please use a copy of the text read to and complete the in-class assignment. You may work on this page or use your own lined paper or graph paper in you prefer. In class assignment, problems: 11, 13, 17, 21 and 25 In Exercises 9-12, fill in each blank with the appropriate word or phrase. 11The quantity Q - Q, is known as the In Exercises 13-16, determine whether the statement is true or false. If the statement is false, rewrite it as a true statement. 13The third quartile, Q3, separates the lowest 25% of the data from the 12 of 14
Transcribed Image Text:percentile and its value is Example 3: Use the same data, from example 2. L = .60(11) = 6.6 which rounds to 7, so the 7th number is the 60th percentile and its value is Example 4: Use the same data, from example 2. Find the percentile of 0.29 There are 7 values less than 0.29 The percentile = 100[(7 + 0.5)/11] = 68.18 or 68.2 So the result 0.29 corresponds to the 68" percentile. Example 5: complete the table. Use the same data, from example 2. Min. Q, Q2 or Med Q, Max Please use a copy of the text read to and complete the in-class assignment. You may work on this page or use your own lined paper or graph paper in you prefer. In class assignment, problems: 11, 13, 17, 21 and 25 In Exercises 9-12, fill in each blank with the appropriate word or phrase. 11The quantity Q - Q, is known as the In Exercises 13-16, determine whether the statement is true or false. If the statement is false, rewrite it as a true statement. 13The third quartile, Q3, separates the lowest 25% of the data from the 12 of 14
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