Question

The following dataset represents the number of registered students for 60 college courses, sorted and arranged in rows of 5. What is the 50th percentile of the data?

5 8 9 9 10
13 18 19 21 24
25 26 28 29 30
33 35 36 43 44
44 45 47 47 51
52 54 54 57 57
57 58 59 59 61
64 68 70 71 74
78 78 79 79 81
82 84 84 86 89
91 91 92 93 95
96 96 98 100 100

Answer 1

57

Explanation:

There are 60 data altogether.

Therefore, n=60

50th percentile = 50%*(n+1)

=50/100*(60+1)

=30.5

This implies that the 50th percentile is between the 30th and 31st data

30th data= 57 ; 31st data = 57

since they are the same figure, 50th percentage = 57