Bob T. answered 11/13/14
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What is the correct box and whisker plot for the data set?
35, 28, 43, 32, 37, 35, 31, 25, 40, 36
35, 28, 43, 32, 37, 35, 31, 25, 40, 36
Ordering these numbers, increasing, we have:
25, 28, 31, 32, 35, 35, 36, 37, 40, 43
The Median, since we have 10 items, is between the fifth and sixth items.
We find the mean of these two elements
Median = Q2 = 35 + 35 = 70 = 35
2 2
Q1 would be the middle of the ordered numbers 25, 28, 31, 32, 35, which is 31. Q3 = 31
Q3 is the median of the ordered numbers 35, 36, 37, 40, 43, which is the middle-most: 37. Q1 = 37
Q3 is the median of the ordered numbers 35, 36, 37, 40, 43, which is the middle-most: 37. Q1 = 37
We also need the minimum and maximum data points 25 and 43.
--------|----
| | |
| | |
25----------31------35--37----------43
| | |
--------|----
Q1 Q2 Q3
| | |
--------|----
Q1 Q2 Q3