Answered: In a test taken by a large number of…

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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Question

In a test taken by a large number of students, the
average score of the test takers is 90 and the standard
deviation is 4.
When selecting a student at random which is more
likely to have: a student with a score of higher than 97 or
a student with a score of 70 or lower?
Justify your answer.

Note: This is related to Normal Distribution and Z scores.

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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