An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set.SUMMARY VALUESMeanMedianRangeIQR23.523.571 (c) Select the graph with the shape that best fits the summary values.O Graph 1 (The data set is not symmetric.)OGraph 2 (The data set is symmetric.)202122232420 21222324252627dog weightdog weightNumber of dogs (a) Select the best description of center for the data set.(b) Select the best description of spread for the data set.OThe "average" dog (in kg) was about 60, which is thenumber of dogs admitted.Owe can tell by the number of dogs admitted that themiddle half of the data set is 60 units wide.OThe "average" dog (in kg) was about 23 or 24, based onOwe can tell by the mean that the middle half of the datathe mean and median.set is 23.5 units wide.OThe "average" dog (in kg) was about 1 to 7, based onthe IQR and range.Owe can tell by the IQR that the middle half of the dataset is 1 unit wide.

The histogram is a plot which is used to depict the distribution of data with frequency on vertical…

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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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An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set.

SUMMARY VALUES

Mean	Median	Range	IQR
23.5	23.5	7	1

(a) Select the best description of center for the data set.
(b) Select the best description of spread for the data set.
OThe "average" dog (in kg) was about 60, which is the
number of dogs admitted.
Owe can tell by the number of dogs admitted that the
middle half of the data set is 60 units wide.
OThe "average" dog (in kg) was about 23 or 24, based on
Owe can tell by the mean that the middle half of the data
the mean and median.
set is 23.5 units wide.
OThe "average" dog (in kg) was about 1 to 7, based on
the IQR and range.
Owe can tell by the IQR that the middle half of the data
set is 1 unit wide.

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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An animal shelter recorded the weight of each of the 43 large breed dogs admitted last week. The smallest weight was 20 kg, and the largest was 27kg. The table gives the mean, median, range, and interquartile range (IQR) of the data set. SUMMARY VALUES Mean Median Range IQR 23.5 23.5 7 1