The gross hourly earnings (in Rands) of a group of workers randomly selected from the payroll list of a large industrial company were organised into the following frequency distribution. Intervals Frequency (f) F m fxm m? fx m? (Hourly earnings) 80 -< 100 11 11 90 990 8100 89100 100 -< 120 16 27 110 1760 12100 193600 120 -< 140 30 57 130 3900 16900 507000 140 -< 160 23 80 150 3450 22500 517500 160 -< 180 10 90 170 1700 28900 289000 90 11800 88500 1596200 a) Calculate the median hourly earnings (rounded off to zero decimals). b) Calculate the mode (rounded off to two decimals). c) Calculate the standard deviation (rounded off to two decimals). d) Determine and interpret the 70th percentile (rounded off to two decimals). e) Calculate and interpret the skewness (rounded off to two decimals).
The gross hourly earnings (in Rands) of a group of workers randomly selected from the payroll list of a large industrial company were organised into the following frequency distribution. Intervals Frequency (f) F m fxm m? fx m? (Hourly earnings) 80 -< 100 11 11 90 990 8100 89100 100 -< 120 16 27 110 1760 12100 193600 120 -< 140 30 57 130 3900 16900 507000 140 -< 160 23 80 150 3450 22500 517500 160 -< 180 10 90 170 1700 28900 289000 90 11800 88500 1596200 a) Calculate the median hourly earnings (rounded off to zero decimals). b) Calculate the mode (rounded off to two decimals). c) Calculate the standard deviation (rounded off to two decimals). d) Determine and interpret the 70th percentile (rounded off to two decimals). e) Calculate and interpret the skewness (rounded off to two decimals).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The gross hourly earnings (in Rands) of a group of workers randomly selected from the payroll list of a large
industrial company were organised into the following frequency distribution.
Intervals
Frequency (f)
F
m
fxm
m?
fx m?
(Hourly earnings)
80 -< 100
11
11
90
990
8100
89100
100 -< 120
16
27
110
1760
12100
193600
120 -< 140
30
57
130
3900
16900
507000
140 -< 160
23
80
150
3450
22500
517500
160 -< 180
10
90
170
1700
28900
289000
90
11800
88500
1596200
a) Calculate the median hourly earnings (rounded off to zero decimals).
b) Calculate the mode (rounded off to two decimals).
c) Calculate the standard deviation (rounded off to two decimals).
d) Determine and interpret the 70th percentile (rounded off to two decimals).
e) Calculate and interpret the skewness (rounded off to two decimals).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 8 images
Similar questions
- Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman