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Answer :
90, 128, 145, 162, 173, 190
Min = 90, max = 190
Median = 153.5
Q1 = 118.5, Q3 = 177.25
Go with the last option
Min = 90, max = 190
Median = 153.5
Q1 = 118.5, Q3 = 177.25
Go with the last option
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The correct five-number summary for the given data set is:
Minimum: 90
Q1: 128
Median: 153.5
Q3: 173
Maximum: 190
What is a five-number summary?
The five-number summary is a descriptive statistical tool that provides a summary of the central tendency, variability, and distribution of a data set. It consists of five key values that are calculated from a given set of data.
Here,
To calculate the five-number summary, you need to order the data set from smallest to largest, and then find the minimum, maximum, median, and quartiles (Q1 and Q3).
In this case, the data set ordered from smallest to largest is:
90, 128, 145, 162, 173, 190
The minimum is 90, the maximum is 190, the median is the average of the middle two values (which is (145 + 162) / 2 = 153.5), and the first quartile (Q1) is the median of the lower half of the data (which is 128), and the third quartile (Q3) is the median of the upper half of the data (which is (173).
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