Answered: The following are characteristics of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following are characteristics of the normal curve except for three. Determine which of the following are not characteristics of the normal curve: I. The mode and median occur at μ. II. The curve is symmetric about the vertical axis through the mean, μ. III. The normal curve is asymptotic to the vertical axis on both sides. IV. The total area under the curve, above the vertical axis is equal to 1. V. The probability that he normal random variable is equal to a specific discrete value is always zero, since the normal random variable is continuous. VI. The probability that the normal random variable is between two values is given by the area under the curve between the two given values and the vertical axis.
A. I, II, VI
B. III, IV, VI
C. I, II, V
D. II, IV, VI

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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