A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1493 and the standard deviation was 318. The test scores of four students selected at random are 1880, 1220, 2190, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual.raw scorestandardized score (z-score)Unusual value?(yes or no)1880 1220 2190 1390 Make a labeled graph of the standard normal curve (click the graph to edit it). Label the mean and each of the tick marks. Mark in color approximately where each of the given scores would fall.

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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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1493 and the standard deviation was 318. The test scores of four students selected at random are 1880, 1220, 2190, and 1390.

Find the z-scores that correspond to each value and determine whether any of the values are unusual.

raw score	standardized score (z-score)	Unusual value? (yes or no)
1880
1220
2190
1390

Make a labeled graph of the standard normal curve (click the graph to edit it). Label the mean and each of the tick marks. Mark in color approximately where each of the given scores would fall.

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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