Question
It is known that the three largest values of a data set are 6.9, 7.8, and...
It is known that the three largest values of a data set are 6.9, 7.8, and 8.7; and the three smallest values of the same data set are 2.8, 2.7, and 2.4. If the quartiles are Q1 = 4.5, Me = 5.4 ands Q3 = 6.0, calculate the length of the upper and lower whiskers of a box plot.
| A. |
length of the lower whisker = 2.1 and length of the upper whisker = 1.8 |
|
| B. |
length of the lower whisker = 1.25 and length of the upper whisker = 1.25 |
|
| C. |
None of the other three answers. |
|
| D. |
length of the lower whisker = 1.7 and length of the upper whisker = 1.5 |
Homework Answers
Answer #1
Given that , three largest values of a data set are 6.9, 7.8, and 8.7; and the three smallest values of the same data set are 2.8, 2.7, and 2.4. The quartiles are Q1 = 4.5, Median(Q2)= 5.4 and Q3 = 6.0
Since, we know
Lower whisker = smallest value greater than Q1-1.5*IQR
Upper Whisker = greatest value smaller than Q3+1.5*IQR
Where, IQR = Q3 - Q1
Here, IQR = 6.0 - 4.5 = 1.5
Lower whisker = 6.9 - 1.5(1.5) = 4.65
Upper Whisker = 2.8 + 1.5(1.5) = 5.05
Hence we get,
Upper Whisker = 5.05 and Lower whisker = 4.65
If this answer helped you please hit the thumbs up!!
Not the answer you're looking for?
Similar Questions
The data show the distance (in miles) from an airport of a sample of 22 inbound...
The data show the distance (in miles) from an airport of a
sample of 22 inbound and outbound airplanes. Use technology to
answer parts (a) and (b).
a. Find the data set's first, second, and third quartiles.
b. Draw a box-and-whisker plot that represents the data
set.
4.5
3.1
5.4
5.3
3.4
4.4
4.2
2.3
4.8
3.7
4.5
4.4
3.3
2.2
1.9
2.1
4.5
4.1
3.6
4.2
2.4
3.5
a. Find the three quartiles.
Q1=
Q2=
Q3=
We wish to determine the impact of Specification Buying, X11, on Satisfaction Level, X10. To do...
We wish to determine the impact of Specification Buying, X11, on
Satisfaction Level, X10. To do so we will split the Hatco data file
into two separate data sets based on the Specification Buying, X11.
This variable has two categories:
1=employs total value analysis approach, evaluating each
purchase separately;
0 = use of specification buying.
Sort the entire Hatco data set based on Specification Buying.
This will create two separate groups of records. Those records with
X11 = 0 and...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3
0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1
3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2
0.0 1.2 1.8 2.4 (a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Compute a 90% confidence interval...
Perform rank correlation analysis on the following data set: x y -4 3.7 -3 2.8 -2.3...
Perform rank correlation analysis on the following data set:
x
y
-4
3.7
-3
2.8
-2.3
3.3
-1.55
1.7
-0.6
0.6
0.4
1.2
1.25
1.8
2
1.2
2.95
2.7
3.9
4.4
4.85
5.7
What is the rank correlation coefficient? (Round to
three decimal places.)
What is the critical rho value at a 0.01 significance?
Do we have correlation?
Yes, the rank correlation coefficient is larger (in absolute
value) than the critical rho value.
No, the rank correlation coefficient is smaller (in...
The accompanying data are the percentage of babies born prematurely in a particular year for the...
The accompanying data are the percentage of babies born
prematurely in a particular year for the 50 U.S. states and the
District of Columbia (DC).
State
Premature
Percent
State
Premature
Percent
State
Premature
Percent
Alabama
11.4
Kentucky
10.4
North Dakota
8.1
Alaska
8.2
Louisiana
12.0
Ohio
10.0
Arizona
8.7
Maine
8.1
Oklahoma
10.0
Arkansas
9.7
Maryland
9.8
Oregon
7.4
California
8.0
Massachusetts
8.3
Pennsylvania
9.1
Colorado
8.1
Michigan
9.5
Rhode Island
8.3
Connecticut
8.9
Minnesota
8.4
South Carolina
10.5
Delaware...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 8 minutes ago
asked 14 minutes ago
asked 18 minutes ago
asked 44 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago