Please helpThese are the results from randomly surveying 42 students about the number of pairs of shoes they own.1471141471131181946918517821354196820209101719823210199115 Calculate the following values.x¯ = _____ (mean)s = _____ (std. dev)Are the data discrete or continuous? How do you know?In complete sentences, describe the shape of the histogram.Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.Analyze the DataDetermine the following values.Min = _____M = _____Max = _____Q1 = _____Q3 = _____IQR = _____What does the shape of the box plot imply about the concentration of data? Use complete sentences. how can you determine if there are potential outliers?How does the standard deviation help you to determine the concentration of the data and whether or not there are potential outliers?What does the IQR represent in this problem?Show your work to find the value that is 1.5 standard deviations:above the mean.below the mean.

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Description: Please helpThese are the results from randomly surveying 42 students about the number of pairs of shoes they own.1471141471131181946918517821354196820209101719823210199115 Calculate the following values.x¯ = _____ (mean)s = _____ (std. dev)Are the d

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 2E: Planetary Velocity The following table gives the mean velocity of planets in their orbits versus...

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These are the results from randomly surveying 42 students about the number of pairs of shoes they own.

14	7	1	14	14	7
11	3	11	8	19	4
6	9	18	5	17	8
2	13	5	4	1	9
6	8	20	20	9	10
17	19	8	2	3	2
10	1	9	9	1	15

Calculate the following values.

x¯ = _____ (mean)
s = _____ (std. dev)

Are the data discrete or continuous? How do you know?
In complete sentences, describe the shape of the histogram.
Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.

Analyze the Data

Determine the following values.

Min = _____
M = _____
Max = _____
Q₁ = _____
Q₃ = _____
IQR = _____

What does the shape of the box plot imply about the concentration of data? Use complete sentences.
how can you determine if there are potential outliers?
How does the standard deviation help you to determine the concentration of the data and whether or not there are potential outliers?
What does the IQR represent in this problem?
Show your work to find the value that is 1.5 standard deviations:

above the mean.
below the mean.

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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7. Show your work to find the value that is 1.5 standard deviations: a. above the mean. b. below the mean.

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