STA1506 ASSIGNMENT 4 FULL DETAILED SOLUTIONS AND WORKINGS UNISA 2021
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Sta1506
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University Of South Africa (Unisa)
STA1506 ASSIGNMENT 4 FULL DETAILED SOLUTIONS AND WORKINGS UNISA 2021
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sta1506 assignment 4 full detailed soluions and workings unisa 2021
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University of South Africa (Unisa)
Sta1506
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STA1506
ASSIGNMENT 4
QUESTION 1
SUMMARY STATISTICS OF THE AGE OF THE EMPLOYEES AND INTERPRETATION
Mode 27
34,6561181
Mean 4
0,54093107
Standard Error 9
Median 29
Mode 27
11,7769031
Standard Deviation 9
138,695448
Sample Variance 7
-
Kurtosis 0,56417446
0,86287671
Skewness 5
Range 42
Minimum 20
Maximum 62
Sum 16427
Count 474
Confidence Level 1,06292524
(95,0%) 1
33,9821763
Coefficient Variation 7
The mode of the age of employees is approximately 27. The average of
the data is 34.7. The Standard Error ("Std Err" or "SE"), is an indication
of the reliability of the mean. Here we have a small SE which is 0.54 is
an indication that the sample mean is a more accurate reflection of the
actual population mean. The midpoint of the data set is the median
which is 29. Here we have a low standard deviation in terms of age
which means that the data are clustered around the mean. The
skewness is 0.86 which means the data are moderately skewed. The
range is 42 and the max is 62 of age and min is 20 of age. Max – min =
62 – 20 = 42 which is the range. There are 474 values in our age data
,set and all the ages gives a sum of 16427. The 95% confidence is of the
mean in the range of 1.06 with an upper and lower number calculated
from a sample. The ratio of the standard deviation to the mean is 33.98.
2. Current Salary of the employees and the summary statistics and interpretation
Mode 30750
34419,5675
Mean 1
784,311106
Standard Error 9
Median 28875
Mode 30750
17075,6614
Standard Deviation 6
291578214,
Sample Variance 5
5,37782239
Kurtosis 6
2,12460628
Skewness 2
Range 119250
Minimum 15750
Maximum 135000
Sum 16314875
Count 474
Confidence Level 1541,16504
(95,0%) 8
49,6103312
Coefficient of Variation 7
The mode of the current salary of employees is approximately 30750.
The average of the data is 34419,56751. The Standard Error ("Std Err" or
"SE"), is an indication of the reliability of the mean. Here we have a
small SE which is 784.31 is an indication that the sample mean is a
more accurate reflection of the actual population mean. The midpoint of
the data set is the median which is 28875. Here we have a low standard
,deviation in terms of current salary which means that the data are
clustered around the mean. The skewness is 2.12 which means the data
are highly skewed. The range is 119250 and the max is 135000 of
current salary and min is 15750 of current salary. Max – min = 135000 –
15750 = 119250 which is the range. There are 474 values in our current
salary data set and all the current salary gives a sum of 16314875. The
95% confidence is of the mean in the range of 1541.17 with an upper
and lower number calculated from a sample. The ratio of the standard
deviation to the mean is 49.61.
3. The beginning salary of the employee’s summary statistics and interpretation
Mode 15000
Mean 17016,0865
361,510383
Standard Error 4
Median 15000
Mode 15000
7870,63815
Standard Deviation 4
61946944,9
Sample Variance 6
Kurtosis 12,3902148
2,85285615
Skewness 1
Range 70980
Minimum 9000
Maximum 79980
Sum 8065625
Count 474
Confidence Level 710,365010
(95,0%) 2
46,2541028
Coefficient of Variation 8
The mode of the beginning salary of employees is approximately 15000.
The average of the data is 17016,0865. The Standard Error ("Std Err" or
"SE"), is an indication of the reliability of the mean. Here we have a
high SE which is 7870,638154 is an indication that the sample mean is a
more spread out of the actual population mean. The midpoint of the
data set is the median which is 15000. Here we have a high standard
, deviation in terms of the beginning salary which means that the data
are not that clustered around the mean. The skewness is 2.85 which
means the data are highly skewed. The range is 70980 and the max is
79980 of beginning salary and min is 9000 of the beginning salary. Max
– min = 79980 – 9000 = 70980 which is the range. There are 474 values
in our beginning salary data set and all the beginning salary gives a
sum of 8065625. The 95% confidence is of the mean in the range of
710.37 with an upper and lower number calculated from a sample. The
ratio of the standard deviation to the mean is 46.25.
4. The previous experience in months summary statistics and interpretation
Mode 0
95,8607594
Mean 9
4,80380492
Standard Error 3
Median 55
Mode 0
104,586236
Standard Deviation 1
10938,2807
Sample Variance 8
1,69595272
Kurtosis 3
1,50998414
Skewness 1
Range 476
Minimum 0
Maximum 476
Sum 45438
Count 474
Confidence Level 9,43943822
(95,0%) 8
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