Answered: Use the frequency distribution from…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 53E

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Question

Use the frequency distribution from Exercise 14 in Section 2-1 to construct a histogram. Does it appear to be the graph of data from a population with a normal distribution?

57 61 57 57 58 57 61 54 68 49 64 48
42 51 56 55 51 54 51 60 62
65 52 46 54 49
43 55 56 52 69 64 46 54
47 47
55 54
47 70

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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