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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 23PFA

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Use the following information to answer A-D. A quiz consists of 10 multiple-choice questions, each having 4 possible answers (a,b,c,d), one of which is correct. [Hint: think binomial, a question is either correct or incorrect]

a) What is the mean (to the nearest 0.1) number of questions that are correct assuming you guessed on all 10 questions?

b) What is the standard deviation (to the nearest 0.1) of the number of questions that are correct assuming you guessed on all 10 questions?

c) What is the probability (to the nearest 0.0001) that exactly 4 of the questions are correct assuming you guessed on all 10 questions? [Show all work]

d) For any standard normal distribution, find the area to the right of Z= -0.28.

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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