In: Statistics and Probability
Answer the following application exercise on organization and data visualization.
You can use Excel.
If you use the calculator and perform the exercise manually, obtain
a picture of the process performed using the cutout and pasting its
result into a Word file.
A sample of 30 employees who investigate cases of possible money
laundering, answered a survey on the average time in the days
analyzed, presented results and recommendations. Below, your
answers are detailed.
5 22 20 16 13 6 12 26 13 24 15 5 14 14 24 11 24 24 24 19 17 10 16 18 11 13 10 13 12 24
Summarize these data:
Use of the base of the frequency distribution table.
Calculating the measures of variation: range, variance, standard
deviation and coefficient of variation, taking into account the
average of the test 3.
Click on a comment to indicate when.
Sr. no | X | (X - X̄)² |
1 | 5 | 117.361 |
2 | 22 | 38.028 |
3 | 20 | 17.361 |
4 | 16 | 0.028 |
5 | 13 | 8.028 |
6 | 6 | 96.694 |
7 | 12 | 14.694 |
8 | 26 | 103.4 |
9 | 13 | 8.028 |
10 | 24 | 66.694 |
11 | 15 | 0.694 |
12 | 5 | 117.361 |
13 | 14 | 3.361 |
14 | 14 | 3.36 |
15 | 24 | 66.694 |
16 | 11 | 23.361 |
17 | 24 | 66.694 |
18 | 24 | 66.694 |
19 | 24 | 66.69444 |
20 | 19 | 10.028 |
21 | 17 | 1.361 |
22 | 10 | 34.028 |
23 | 16 | 0.028 |
24 | 18 | 4.694 |
25 | 11 | 23.361 |
26 | 13 | 8.027778 |
27 | 10 | 34.02778 |
28 | 13 | 8.027778 |
29 | 12 | 14.69444 |
30 | 24 | 66.69444 |
X | (X - X̄)² | |
total sum | 475 | 1090.167 |
n | 30 | 30 |
mean = ΣX/n = 475.000
/ 30.000 = 15.833
sample variance = Σ(X - X̄)²/(n-1)=
1090.1667 / 29.0000
= 37.5920
sample std dev = √ [ Σ(X - X̄)²/(n-1)] =
√ 37.5920 =
6.1312
range=max-min = 26 -
5 = 21
coefficient of variation,CV=mean / std dev =
0.3872