Question

In: Statistics and Probability

Answer the following application exercise on organization and data visualization. You can use Excel. If you...

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.

Solutions

Expert Solution

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


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