Answered: The board of examiners that administers…

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

The board of examiners that administers the real estate brokers’ examination in a certain state found that the mean score on the test was 435 and the standard deviation was 72. Assume the scores are normally distributed.

(a) If the board wants to set the passing score so that only the best 30% of all applicants pass, what should be the passing score?

Z-value = Answer (3 dp)

Passing Score Answer

(b) What are the minimum and maximum scores of the middle 75% of persons that take the exam?

Min Z-value Answer (2 dp)

Max Z-value Answer (2 dp)

Min Exam Score Answer

Max Exam Score Answer

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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