I sort the data from the lowest 17.7, 18.3, 19.2, 21.1, 21.7, 23.2, 23.4, 23.7, 25.8, 26.2, 27.3, 27.4, 29.4, 29.8, 31.6, 33.5, 37.7, 38.9, 44.9
Then I classify the data to the appropriate class 1) Class 15.0-20.9 There are 3 data, those are 17.7, 18.3, and 19.2 2) Class 21.0 - 26.9 There are 7 data, those are 21.1, 21.7, 23.2, 23.4, 23.7, 25.8, 26.2 3) Class 27.0 - 32.9 There are 5 data, those are 27.3, 27.4, 29.4, 29.8, 31.6 4) Class 33.0 - 38.9 There are 3 data, those are 33.5, 37.7, 38.9 5) Class 39.0 - 44.9 There is 1 data, that is 44.9
SUMMARY BMI Class and frequency 15.0 - 20.9 ⇒ frequency 3 21.0 - 26.9 ⇒ frequency 7 27.0 - 32.9 ⇒ frequency 5 33.0 - 38.9 ⇒ frequency 3 39.0 - 44.9 ⇒ frequency 1
The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.
(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.
For 500 students, 9 buildings are required.
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(b) The maximum number of students for n buildings is ...
