z data set lists the number of women from each of 10 different countries who were on the Rolex Wo 25 list as of March 31, 2009. The data, entered in that order, are for the following countries: Austra „Mexico, Norway, Sweden, Taiwan, and the United States. - 1 1 2 2 4 he mean and median for these data set. e outliers in this data set. Write your answers in ascending orders. and i liers and recalculate the mean and median. se two summary measures changes by a larger amount when you drop the outliers?
z data set lists the number of women from each of 10 different countries who were on the Rolex Wo 25 list as of March 31, 2009. The data, entered in that order, are for the following countries: Austra „Mexico, Norway, Sweden, Taiwan, and the United States. - 1 1 2 2 4 he mean and median for these data set. e outliers in this data set. Write your answers in ascending orders. and i liers and recalculate the mean and median. se two summary measures changes by a larger amount when you drop the outliers?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Create a box-and-whisker plot and comment on the skewness of a data set.
Recall the following from section 3.6 of the text.
Box-and-Whisker Plot shows the center, spread, and skewness of a data set. It is constructed by drawing a box and two whiskers that
use the median, the first quartile, the third quartile, and the smallest and the largest values in the data set between the lower and the
upper fences. Any outliers (data outside the lower and upper fences) are marked by *.
Lower Fence = Q1 - 1.5 · IQR,
Upper Fence = Q3 +1.5 · IQR,
where IQR = Inter-quartile Range = Q3 - Q1
A skewed histogram is non-symmetric and tail on one side is longer than the tail on the other side. A skewed-to-the-right histogram
has a longer tail on the right side and a skewed-to-the-left histogram has a longer tail on the left side.
Chapter 03, Section 3.5, Intelligent Tutoring Problem 072
9
6
12
3
9
10
6.
12
8
8.
4
16
10
11
7
7
3
9
11
(a) Write the data in increasing order:
3334667788999 10 10 11 11 12 12 16
(b) Compute the median.
The median =
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5860468-9698-419a-8734-0c8de831a3ad%2F970c7930-7460-42c1-adee-46fbc58341d3%2F7woy2e3_processed.png&w=3840&q=75)
Transcribed Image Text:Create a box-and-whisker plot and comment on the skewness of a data set.
Recall the following from section 3.6 of the text.
Box-and-Whisker Plot shows the center, spread, and skewness of a data set. It is constructed by drawing a box and two whiskers that
use the median, the first quartile, the third quartile, and the smallest and the largest values in the data set between the lower and the
upper fences. Any outliers (data outside the lower and upper fences) are marked by *.
Lower Fence = Q1 - 1.5 · IQR,
Upper Fence = Q3 +1.5 · IQR,
where IQR = Inter-quartile Range = Q3 - Q1
A skewed histogram is non-symmetric and tail on one side is longer than the tail on the other side. A skewed-to-the-right histogram
has a longer tail on the right side and a skewed-to-the-left histogram has a longer tail on the left side.
Chapter 03, Section 3.5, Intelligent Tutoring Problem 072
9
6
12
3
9
10
6.
12
8
8.
4
16
10
11
7
7
3
9
11
(a) Write the data in increasing order:
3334667788999 10 10 11 11 12 12 16
(b) Compute the median.
The median =
i
![Question 6 of 7
>
-/ 1
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Current Attempt in Progress
The following data set lists the number of women from each of 10 different countries who were on the Rolex Women's World Golf
Rankings Top 25 list as of March 31, 2009. The data, entered in that order, are for the following countries: Australia, Brazil, England,
Japan, Korea, Mexico, Norway, Sweden, Taiwan, and the United States.
2 1 1 2 9 1 1 2 2 4
a. Calculate the mean and median for these data set.
Мean %3D
i
Median =
i
b. Identify the outliers in this data set. Write your answers in ascending orders.
Outliers =
and
i
Drop the outliers and recalculate the mean and median.
Мean %3D
Median =
i
Which of these two summary measures changes by a larger amount when you drop the outliers?
c. Which is the better summary measure for these data, the mean or the median? Explain.
The
is a better measure because it
as sensitive to the outliers as the other one.
!!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5860468-9698-419a-8734-0c8de831a3ad%2F970c7930-7460-42c1-adee-46fbc58341d3%2Fhedodff_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6 of 7
>
-/ 1
View Policies
Current Attempt in Progress
The following data set lists the number of women from each of 10 different countries who were on the Rolex Women's World Golf
Rankings Top 25 list as of March 31, 2009. The data, entered in that order, are for the following countries: Australia, Brazil, England,
Japan, Korea, Mexico, Norway, Sweden, Taiwan, and the United States.
2 1 1 2 9 1 1 2 2 4
a. Calculate the mean and median for these data set.
Мean %3D
i
Median =
i
b. Identify the outliers in this data set. Write your answers in ascending orders.
Outliers =
and
i
Drop the outliers and recalculate the mean and median.
Мean %3D
Median =
i
Which of these two summary measures changes by a larger amount when you drop the outliers?
c. Which is the better summary measure for these data, the mean or the median? Explain.
The
is a better measure because it
as sensitive to the outliers as the other one.
!!
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