Answered: Based on the boxplots and the…

Name: Based on the boxplots and the mean/median relationship what is the sha
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Description: Based on the boxplots and the mean/median relationship what is the shape of each data set? Explain completely

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 6SGR

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Based on the boxplots and the mean/median relationship what is the shape of each data set? Explain completely

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Step 1

Given:

Step 2

For battery hours iPad 4:

for this mean and median are 3.8625 and 3.0000 respectively, therefore Mean is greater than Median.

Median-Q1=3.7750-3.3550=0.42

Q3-Median=4.2650-3.7750=0.49

Median-Q1< Q3-Median

Explanation:

This is to demonstrate that the data given is not symmetrical. Both points indicate that they are slightly skewed to the right or positively skewed.

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