Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by H Cavendish (1731-1810). In the experiment, masses of objects (treated as samples) were determined by weighing, and the measured force of attraction was used to calculate the density of the earth. The values the earth's density (in g/cm), in time order by row, are: 5.36 5.29 5.58 5.65 5.57 5.53 5.62 5.29 5.44 5.34 5.79 5.10 5.27 5.39 5.42 5.47 5.63 5.34 5.46 5.30 5.75 5.68 5.85 (a) Determine the mean, median, range, variance, standard deviation, and coefficient of variation of the giver data set

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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SITUATION 1
Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by Henry
Cavendish (1731-1810). In the experiment, masses of objects (treated as samples) were determined by
weighing, and the measured force of attraction was used to calculate the density of the earth. The values of
the earth's density (in g/cm³), in time order by row, are:
5.36
5.29
5.58
5.65
5.57
5.53
5.62
5.29
5.44
5.34
5.79
5.10
5.27
5.39
5.42
5.47
5.63
5.34
5.46
5.30
5.75
5.68
5.85
(a) Determine the mean, median, range, variance, standard deviation, and coefficient of variation of the given
data set.
(b) Evaluate if the data set is symmetric, positively skewed, or negatively skewed. Justify your answer.
(c) Evaluate if the kurtosis of the given data set is mesokurtic, leptokurtic, or platykurtic. Justify your answer.
Transcribed Image Text:SITUATION 1 Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by Henry Cavendish (1731-1810). In the experiment, masses of objects (treated as samples) were determined by weighing, and the measured force of attraction was used to calculate the density of the earth. The values of the earth's density (in g/cm³), in time order by row, are: 5.36 5.29 5.58 5.65 5.57 5.53 5.62 5.29 5.44 5.34 5.79 5.10 5.27 5.39 5.42 5.47 5.63 5.34 5.46 5.30 5.75 5.68 5.85 (a) Determine the mean, median, range, variance, standard deviation, and coefficient of variation of the given data set. (b) Evaluate if the data set is symmetric, positively skewed, or negatively skewed. Justify your answer. (c) Evaluate if the kurtosis of the given data set is mesokurtic, leptokurtic, or platykurtic. Justify your answer.
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