The upper limit in the box plot of the following data is1 2 2 4 4 6 5 6 7 5 20Group of answer choices56310.5
Question
The upper limit in the box plot of the following data is1 2 2 4 4 6 5 6 7 5 20Group of answer choices56310.5
Solution
To find the upper limit in a box plot, we first need to calculate the Interquartile Range (IQR). Here are the steps:
- Arrange the data in ascending order: 1, 2, 2, 4, 4, 5, 5, 6, 6, 7, 20
- Find the median (Q2): 5
- Find the lower quartile (Q1), which is the median of the first half of the data: 2
- Find the upper quartile (Q3), which is the median of the second half of the data: 6
- Calculate the Interquartile Range (IQR) = Q3 - Q1 = 6 - 2 = 4
- Calculate the upper limit, which is Q3 + 1.5IQR = 6 + 1.54 = 6 + 6 = 12
However, the upper limit is not the maximum value in the data set, but the highest data point that is not considered an outlier. Any data point more than 1.5 IQR above the upper quartile (Q3) or below the lower quartile (Q1) is considered an outlier. In this case, the number 20 is an outlier because it is greater than the upper limit (12).
So, the upper limit in the box plot of the given data is 12.
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