Answered: A standardized exam's scores are…

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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Question

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1490 and the standard deviation was 316. The test scores of four students selected at random are 1900, 1210, 2170, and 1380. Find the z-scores that correspond to each value and determine whether any of the values are unusual.

The z-score for

1900

enter your response here.

(Round to two decimal places as needed.)

The z-score for

1210

enter your response here.

(Round to two decimal places as needed.)

The z-score for

2170

enter your response here.

(Round to two decimal places as needed.)

The z-score for

1380

enter your response here.

(Round to two decimal places as needed.)

Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice.

The unusual value(s) is/are

enter your response here.

(Use a comma to separate answers as needed.)

None of the values are unusual.

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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