Answered: Two thousand students took an exam. The…

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

Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean μ=79μ=79 points and standard deviation σ=15σ=15 points.

Round your answers to one decimal place.

(a) Calculate the first- and third-quartile scores for this exam.

Q1=Q1= points

Q3=Q3= points

(b) The middle 50%50% of the exam scores are between what two values?

Enter your answers in increasing order.

The middle 50%50% of the exam scores are between points and points.

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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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