Answer:
given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]
Step-by-step explanation:
The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)
The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is
L
p=(n+1).p/100
For example, in the data set [2,4,6,8,10,12,14,16,18]
the (approximate) 60th percentile is located at position
L
60=(9+1).60/100=6
that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)
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