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Lecture #1-(for final) - Z-score -measure of relative position Z-score for a given data value x is the number of standard deviations that x is above or below the mean of the given set of data. How to calculate the z-score value in a population and in a sample Population: 2₁ = (x-μ) (x-x) Sample Zs Example: Jun has taken tests in two quizzes in MMW. In quiz #1 his score is 72 where the class mean was 65 and the standard deviation of the class is 8, while in the quiz #2, his score is 60 and the mean and standard deviation of the class were 45 and 12 respectively. In which test did he perform well in Q1 or Q2? Area in the normal curve (Recitation) A. Sketch and shade to indicate the area of the given and find the probability. 1. P(from z=o to z= 1.58) 2. P(Z > 1.09) 3. P(Z < -1.32) 4. P(-1.06 ≤z≤ 1.06) 5. P(1.02 ≤z ≤2.07) B. Complete the table Raw where µ is the mean of the population 6 is the standard deviation of the population Score 35 ? 48 25 75 Mean 39 85 50 23 ? Standard Score 3.3 2.85 ? 1.67 2.08 Z-score ? 1.52 -1.35 ? -1.98

Lecture #1-(for final) - Z-score -measure of relative position Z-score for a given data value x is the number of standard deviations that x is above or below the mean of the given set of data. How to calculate the z-score value in a population and in a sample Population: 2₁ = (x-μ) (x-x) Sample Zs Example: Jun has taken tests in two quizzes in MMW. In quiz #1 his score is 72 where the class mean was 65 and the standard deviation of the class is 8, while in the quiz #2, his score is 60 and the mean and standard deviation of the class were 45 and 12 respectively. In which test did he perform well in Q1 or Q2? Area in the normal curve (Recitation) A. Sketch and shade to indicate the area of the given and find the probability. 1. P(from z=o to z= 1.58) 2. P(Z > 1.09) 3. P(Z < -1.32) 4. P(-1.06 ≤z≤ 1.06) 5. P(1.02 ≤z ≤2.07) B. Complete the table Raw where µ is the mean of the population 6 is the standard deviation of the population Score 35 ? 48 25 75 Mean 39 85 50 23 ? Standard Score 3.3 2.85 ? 1.67 2.08 Z-score ? 1.52 -1.35 ? -1.98

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Lecture #1-(for final) - Z-score -measure of relative position Z-score for a given data value x is the number of standard deviations that x is above or below the mean of the given set of data. How to calculate the z-score value in a population and in a sample Population Z, = (x-x) S Sample Zs= Example: Jun has taken tests in two quizzes in MMW. In quiz #1 his score is 72 where the class mean was 65 and the standard deviation of the class is 8, while in the quiz #2, his score is 60 and the mean and standard deviation of the class were 45 and 12 respectively. In which test did he perform well in Q1 or Q2? (x-μ) 6 Area in the normal curve (Recitation) A. Sketch and shade to indicate the area of the given and find the probability. 1. P(from z=o to z= 1.58) 2. P(Z > 1.09) 3. P(Z < -1.32) 4. P(-1.06 ≤z ≤ 1.06) 5. P(1.02 ≤z ≤2.07) B. Complete the table Raw Score 35 ? 48 25 75 where μ is the mean of the population 6 is the standard deviation of the population Mean 39 85 50 23 ? Standard Score 3.3 2.85 ? 1.67 2.08 Z-score ? 1.52 -1.35 ? -1.98
Transcribed Image Text:Lecture #1-(for final) - Z-score -measure of relative position Z-score for a given data value x is the number of standard deviations that x is above or below the mean of the given set of data. How to calculate the z-score value in a population and in a sample Population Z, = (x-x) S Sample Zs= Example: Jun has taken tests in two quizzes in MMW. In quiz #1 his score is 72 where the class mean was 65 and the standard deviation of the class is 8, while in the quiz #2, his score is 60 and the mean and standard deviation of the class were 45 and 12 respectively. In which test did he perform well in Q1 or Q2? (x-μ) 6 Area in the normal curve (Recitation) A. Sketch and shade to indicate the area of the given and find the probability. 1. P(from z=o to z= 1.58) 2. P(Z > 1.09) 3. P(Z < -1.32) 4. P(-1.06 ≤z ≤ 1.06) 5. P(1.02 ≤z ≤2.07) B. Complete the table Raw Score 35 ? 48 25 75 where μ is the mean of the population 6 is the standard deviation of the population Mean 39 85 50 23 ? Standard Score 3.3 2.85 ? 1.67 2.08 Z-score ? 1.52 -1.35 ? -1.98
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