What does this information tell you about the variability of the student's performance on the prelims? what can you conclude.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 1AGP
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What does this information tell you about the variability of the student's performance on the prelims? what can you conclude.

Problem
Ms. Mercado is done recording the prelim exams of Accountancy Students. Scores represent items marked correct on the exam.
The scores are provided below:
Class Interval
f
fx
<cf
M
X-M
IX-MI
(x-m)^
f(x-m)^2
20-24
22
22
45.38
-23.38
23.38
546.62
546.62
25-29
1.
27
27
2.
45.38
-18.38
18.38
337.82
337.82
30-34
3
32
96
45.38
-13.38
13.38
179.02
537.07
35-39
4
37
148
9
45.38
-8.38
8.38
70.22
280.90
40-44
8
42
336
17
45.38
-3.38
3.38
11.42
91.40
45-49
7
47
329
24
45.38
1.62
1.62
2.62
18.37
50-54
11
52
572
35
45.38
6.62
6.62
43.82
482.07
55-59
57
285
40
45.38
11.62
11.62
135.02
675.12
j= 5
40
1815
86.76
2969.38
Mean:
45.38
Measures of Variability
Range:
Sample Variance
Sample Standard Deviation
40
74.23
8.62
Coefficient of variation
0.1899
Transcribed Image Text:Problem Ms. Mercado is done recording the prelim exams of Accountancy Students. Scores represent items marked correct on the exam. The scores are provided below: Class Interval f fx <cf M X-M IX-MI (x-m)^ f(x-m)^2 20-24 22 22 45.38 -23.38 23.38 546.62 546.62 25-29 1. 27 27 2. 45.38 -18.38 18.38 337.82 337.82 30-34 3 32 96 45.38 -13.38 13.38 179.02 537.07 35-39 4 37 148 9 45.38 -8.38 8.38 70.22 280.90 40-44 8 42 336 17 45.38 -3.38 3.38 11.42 91.40 45-49 7 47 329 24 45.38 1.62 1.62 2.62 18.37 50-54 11 52 572 35 45.38 6.62 6.62 43.82 482.07 55-59 57 285 40 45.38 11.62 11.62 135.02 675.12 j= 5 40 1815 86.76 2969.38 Mean: 45.38 Measures of Variability Range: Sample Variance Sample Standard Deviation 40 74.23 8.62 Coefficient of variation 0.1899
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