Question

I had 15 students last term who earned the following grades: 98 85 89 73 72 85 85 92 85 97 92 93 95 86 87 What is the 5 numbers summary for these students? Create a box plot for the data.

Answer 1

solution:-
5 numbers summary for these students
=> 72,85,87,93,98

explanation:-
=> minimum value = 72
=> quartile q1 = The first quartile is the median of the bottom half of the numbers
need to place the numbers in value order and find the bottom half.
the bottom half is
72 73 85 85 85 85 86   
the median of these numbers is 85
=> median = The median is the middle number in a sorted list of numbers
Ordering the data from least to greatest
72 73 85 85 85 85 86 87 89 92 92 93 95 97 98   
so the median = 87
=> quartile q3 = The third quartile is the median of the upper half of the numbers
need to place the numbers in value order and find the upper half
89 92 92 93 95 97 98   
the median of these number is 93
=> maximum value = 98

box plot:-