In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of score is: a. greater than 48 b. less than 50 c. between 30 and 48

In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of score is: a. greater than 48 b. less than 50 c. between 30 and 48

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 1GP

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Question

In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of score is:

a. greater than 48

b. less than 50

c. between 30 and 48

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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