Answered: Scores on the final exam in Professor…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

Scores on the final exam in Professor Meyer’s statistics class follow a normal distribution, with a mean of 82 (μ=82)(μ=82) and a standard deviation of 5 (σ=5)(σ=5).

1. Ron, who took Professor Meyer's class, scored 88 on the final. Which one of the following is Ron's z-score?

2. This means that Ron's final exan score is:

3. Dan also took Professor Meyer's class, and the z-score of his final is -2.4. This means that Dan's score is:

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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