Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?

Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?

Solution: The five number summary denotes:

Minimum = 19

First Quartile = 32

Median = 47

Third Quartile = 61

Maximum = 77

Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.

Therefore, there are 7 observations that are strictly less than 32

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