Math  /  Data

QuestionFind the five-number summary (min, Q1, median, Q3, max) for the data set: 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56.

Studdy Solution
The third quartile (Q3) is the median of the second half of the data set. Since there are8 numbers in the second half, the third quartile is the average of the4th and5th numbers in the second half.
Q3=(56+57)/2=56.5Q_{3} = (56+57)/2 =56.5So, the five-number summary for the given data set isMinimum =10Q1=36.5Q_{1}=36.5Median =46Q3=56.5Q_{3}=56.5Maximum =81

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