IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15. a) What proportion of the population will have an IQ below 80? b) What proportion of the population will have an IQ below 110? c) What proportion of the population will have an IQ between 110 and 115?

IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15. a) What proportion of the population will have an IQ below 80? b) What proportion of the population will have an IQ below 110? c) What proportion of the population will have an IQ between 110 and 115?

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 13PPS

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Question

IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15.

a) What proportion of the population will have an IQ below 80?

b) What proportion of the population will have an IQ below 110?

c) What proportion of the population will have an IQ between 110 and 115?

d) What score will the top 10% of the population have an IQ greater than? (to one decimal place,find the closest Z value in the table).

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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