3rd Edition

ISBN: 9780135163146

Author: Gould

Publisher: PEARSON

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 6, Problem 53SE

Inverse SATs Critical reading SAT scores are distributed as N 500 , 100 .

a. Find the SAT score at the 75th percentile.

b. Find the SAT score at the 25th percentile.

c. Find the interquartile range for SAT scores.

d. Is the interquartile range larger or smaller than the standard deviation? Explain.

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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Chapter 6, Problem 52SE

Chapter 6, Problem 54SE

Chapter 6 Solutions

INTRODUCTORY STATISTICS (LOOSELEAF)

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Inverse SATs Critical reading SAT scores are distributed as N 500 , 100 . a. Find the SAT score at the 75th percentile. b. Find the SAT score at the 25th percentile. c. Find the interquartile range for SAT scores. d. Is the interquartile range larger or smaller than the standard deviation? Explain.

Solution Summary: The author explains how to determine the SAT score at the 75th percentile.

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