Answered: Gasoline pumped from a supplier’s…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.6: Functions Defined By Tables And Graphs

Problem 8WE

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Question

Gasoline pumped from a supplier’s pipeline is supposed to have an octane rating of 87.5. On 13 consecu-
tive days, a sample was taken and analyzed with the following results. Answer the problems assuming that
the test results from this study is normally distributed.

88.6 | 86.4 | 87.2 88.4 |87.2 87.6 | 86.8 86.1 | 87.4 | 87.3 |86.4 | 86.6 | 87.1
Mean =
87.16,
SD x 0.7422.

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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