This document contains the scores of 8 students in a management statistics course. It shows the individual scores ranging from 17 to 37. It then calculates the first quartile (Q1) as 21.5 and the third quartile (Q3) as 30.5. The interquartile range (IQR) is calculated as the difference between Q3 and Q1, which is 4.5. Formulas are also provided for calculating Q1 and Q3 based on the class size, total number of scores, and cumulative frequency.

14. Scores of 8 Students in
Management Statistics
17, 26, 17, 27, 30,
31, 30, 37

15. Scores of 8 Students in
Management Statistics
17
17
26
27
30
30
31
37
N=8

17. Scores of 8 Students in
Management Statistics
17
17
26
27
30
30
31
37
N=8
1
2
3
4
5
6
7
8

19. Scores of 8 Students in
Management Statistics
N /4 = 8/4 = 2
Q1 = (17 + 26)/2
= 21.5

21. Scores of 8 Students in
Management Statistics
3N /4 = 3(8)/4 = 6
Q3 = (30 + 31)/2
= 30.5

23. QD = (Q3 – Q1)/2
= (30.5 – 21.5)/2
= 4.5

26. Q1 = L + (N/4 – CF )/f (i)
where:
L = exact lower limit if the Q1 class
N/4 = locator of the Q1 class
N = total number of scores
CF = cumulative frequency before the Q1
class
i = class size/interval

28. Q3 = L + (3N/4 – CF )/f (i)
where:
L = exact lower limit if the Q3 class
3N/4 = locator of the Q3 class
N = total number of scores
CF = cumulative frequency before the Q3
class
i = class size/interval

29. THANK YOU AND GOD
BLESS!
@GLEChristianS