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
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