The mean score for a test is 87 with a standard deviation of 12. Assuming a normal distribution for the scores. Answer the following questions. What is the probability that a student selected at random scored between 70 and 87? If the bottom 30% of the students failed the exam, what was the passing score?

The mean score for a test is 87 with a standard deviation of 12. Assuming a normal distribution for the scores. Answer the following questions. What is the probability that a student selected at random scored between 70 and 87? If the bottom 30% of the students failed the exam, what was the passing score?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The mean score for a test is 87 with a standard deviation of 12. Assuming a normal distribution for the scores. Answer the following questions.

What is the probability that a student selected at random scored between 70 and 87?

If the bottom 30% of the students failed the exam, what was the passing score?

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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