Homework SourseThe following set of scores was obtained from a 10point stas
The following set of scores was obtained from a 10-point stastics quiz. Organize these scores by constructing a cumulative frequency and percentile rank distribution table.
10, 9, 9, 8, 8, 7, 7, 6, 6, 6,
6, 5, 5, 5, 5, 5, 4, 4, 3, 3,
3, 3, 2, 2, 1
X
f
p (f/N)
% (pX100)
Cumulative Frequency (cf)
Percentile Rank(c%)
(a)
(b)
(c)
(d)
(e)
(f)
9
2
.08
8%
24
96
8
2
.08
8%
22
88
7
2
.08
8%
20
80
6
4
.16
16%
18
72
5
5
.20
20%
14
56
4
2
.08
8%
9
36
3
4
.16
16%
7
28
2
2
.08
8%
3
12
1
1
.04
4%
1
4
?f = 25
(a) =
(b) =
(c) =
(d) =
(e) =
(f) =
What score corresponds with the 80th percentile?
| X | f | p (f/N) | % (pX100) | Cumulative Frequency (cf) | Percentile Rank(c%) |
| (a) | (b) | (c) | (d) | (e) | (f) |
| 9 | 2 | .08 | 8% | 24 | 96 |
| 8 | 2 | .08 | 8% | 22 | 88 |
| 7 | 2 | .08 | 8% | 20 | 80 |
| 6 | 4 | .16 | 16% | 18 | 72 |
| 5 | 5 | .20 | 20% | 14 | 56 |
| 4 | 2 | .08 | 8% | 9 | 36 |
| 3 | 4 | .16 | 16% | 7 | 28 |
| 2 | 2 | .08 | 8% | 3 | 12 |
| 1 | 1 | .04 | 4% | 1 | 4 |
Solution
a = 10
b = 1
c = f/N = 1/25 = 0.04
d = 4%
e = 25
f = 100
What score corresponds with the 80th percentile?
Score = 7
