A normal distribution of scores has a mean of 72 and a standard deviation of 11. Find the z-scores corresponding to each of the following values: A score that is 20 points above the mean. A score that is 10 points below the mean. A score that is 15 points above the mean A score that is 30 points below the mean. A fifth grader takes a standardized achievement test (mean = 115, standard deviation = 10) and scores a 148. What is the child’s percentile rank? Three students take equivalent stress tests. Which is the highest relative score (meaning which has the largest z score value)? A score of 144 on a test with a mean of 130 and a standard deviation of 34. A score of 90 on a test with a mean of 85 and a standard deviation of 18. A score of 18 on a test with a mean of 21 and a standard deviation of 5.

Problem 1:Given:μ = mean = 72σ = standard deviation = 11 We can solve for z-scores using this…

Answered: A normal distribution of scores has a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 19PPS

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A normal distribution of scores has a mean of 72 and a standard deviation of 11. Find the z-scores corresponding to each of the following values:

A score that is 20 points above the mean.

A score that is 10 points below the mean.

A score that is 15 points above the mean

A score that is 30 points below the mean.

A fifth grader takes a standardized achievement test (mean = 115, standard deviation = 10) and scores a 148. What is the child’s percentile rank?

Three students take equivalent stress tests. Which is the highest relative score (meaning which has the largest z score value)?

A score of 144 on a test with a mean of 130 and a standard deviation of 34.

A score of 90 on a test with a mean of 85 and a standard deviation of 18.

A score of 18 on a test with a mean of 21 and a standard deviation of 5.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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