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

Question

Mathematics

Zack Bailey

30 December, 03:37

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

+5

Answers (1)

Know the Answer?

Amirah Barber · Answer 1

57

Step-by-step 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