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Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60


Sagot :

Answer:

51, 53, 55, 58, 60

Step-by-step explanation:

The minimum is the lowest value in the data set, that is 51

The maximum is the largest value in the data set, that is 60

The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60

                                     ↑ middle

median = 55

The lower quartile is the middle value to the left of the median

51, 51, 53, 53, 54, 55

               ↑

Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53

The upper quartile is the middle value of the data to the right of the median

56, 58, 58, 58, 59, 60

                 ↑

Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58