HR manager in L&B real-state company is working with finance department in improving the salaries and the following descriptive statistics were obtained ( The table attached )  ( The graph attached )  ------------ The company has hired you to answer the following questions: 1) Find the missing values of (a), (b), (c) and (d). 2) Do you think that the salaries in the departments are skewed, justify your answer with proper measure from table (2). 3) Based on the boxplot for the salaries by department in graph (1), comment on the graph in terms of existence of outliers, skewness and which department has higher outliers.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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HR manager in L&B real-state company is working with finance department in improving the
salaries and the following descriptive statistics were obtained

( The table attached ) 

( The graph attached ) 

------------

The company has hired you to answer the following questions:
1) Find the missing values of (a), (b), (c) and (d).

2) Do you think that the salaries in the departments are skewed, justify your answer with proper measure
from table (2).
3) Based on the boxplot for the salaries by department in graph (1), comment on the graph in terms of
existence of outliers, skewness and which department has higher outliers.
4) Based on your answer in (3), comment and compare on the suitable central and absolute dispersion
measures depending on table (2).
5) Based on table (1), do you think the salaries of which group is more homogenous, support your answer
and comment on the results.

 

Department Mean SD CoefVar Min
6.052 3.874
Q1
Median
Q3
Маx
IQR
Skewness
1.630 3.393
(a)
7.500 22.860 4.107
Finance
64.01
2.00
5.441 3.235
2.000 3.200 4.100 6.430 21.860 3.230
(d) 24.980 3.550
1.670 3.475 5.000 6.645 22.200 3.170
HR
(b)
(C)
IT
5.880 3.887
66.10
0.530 3.250 4.630
2.18
Marketing 6.010 | 3.737 | 62.18
2.14
6.095 3.719 61.02
1.500 3.330 5.000
7.640 20.000 4.310
Training
CoefVar stands for coefficient of variation
2.00
Transcribed Image Text:Department Mean SD CoefVar Min 6.052 3.874 Q1 Median Q3 Маx IQR Skewness 1.630 3.393 (a) 7.500 22.860 4.107 Finance 64.01 2.00 5.441 3.235 2.000 3.200 4.100 6.430 21.860 3.230 (d) 24.980 3.550 1.670 3.475 5.000 6.645 22.200 3.170 HR (b) (C) IT 5.880 3.887 66.10 0.530 3.250 4.630 2.18 Marketing 6.010 | 3.737 | 62.18 2.14 6.095 3.719 61.02 1.500 3.330 5.000 7.640 20.000 4.310 Training CoefVar stands for coefficient of variation 2.00
graph (1)
Boxplot of salary
25
20
15
10
Finance
HR
IT
Marketing
Training
Department
* *
***
**
*
* **
****
salary
Transcribed Image Text:graph (1) Boxplot of salary 25 20 15 10 Finance HR IT Marketing Training Department * * *** ** * * ** **** salary
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