Answered: Scores on a standard IQ Test for…

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

Scores on a standard IQ Test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25.

(a) A researcher wants to select the men in the bottom 25% on this intelligence scale. How low must a man score (IQ)to be selected?

(b) A researcher wants to select the men in the top 15% on this intelligence scale. How high must a man score(IQ) to be selected?

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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