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construct a box-and-whisker diagram 14, 13, 15,13, 20, 23, 27, 35, 32, 39, 48, 52, 46,...

construct a box-and-whisker diagram

14, 13, 15,13, 20, 23, 27, 35, 32, 39, 48, 52, 46, 33

Math   Statistics-And-Probability   
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Answer #1

We first arrange the data in ascending order here as:
13, 13, 14, 15, 20, 23, 27, 32, 33, 35, 39, 46, 48, 52

There are a total of 14 numbers here.
Median = average of the middle 2 numbers, that is 7th and 8th numbers.
Median = (27 + 32)/2 = 29.5

The minimum value here is 13 and the maximum value is 52 ( these represent the end points of the whiskers here )

The first and third quartiles are computed here as:
Q1 would be given as: 13 while Q3 give as 39

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