STAT 3010 Lecture Notes - Lecture 12: Confidence Interval, Data Set, Standard Deviation

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1 Oct 2018
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Table 12. 1 Descriptive Statistics for the Random Data set of 30 cell phone customers
MNTHREV
INCOME
PRCNTMNTHINC
Mean
$ 52.00
Mean
$ 2,603.11
Mean
2.00%
Mode
$ 40.00
Mode
N/A
Mode
N/A
Standard
Deviation
$ 18.44
Standard Deviation
$ 932.40
Standard Deviation
0.14%
Skewness
-0.13
Skewness
-0.05
Skewness
-0.24
Range
$ 74.00
Range
$ 3,775.36
Range
0.89%
Minimum
$ 14.00
Minimum
$ 781.11
Minimum
1.54%
Q1
$ 40.00
Q1
$ 2,108.07
Q1
1.91%
Median
$ 54.00
Median
$ 2,599.90
Median
2.00%
Q3
$ 64.00
Q3
$ 3,273.47
Q3
2.10%
Maximum
$ 88.00
Maximum
$ 4,556.47
Maximum
2.43%
IQR
$ 24.00
IQR
$ 1,165.39
IQR
0.19%
Count
30
Count
30
Count
30
The random sample of 30 customers in Table 12.1, shows that the average monthly revenue that
the cell phone companies receive is $52.00 while the true monthly revenue is $50.71. The
monthly income of the cell phone customers on average is truly $2,529.02, whereas the random
sample of 30 customers shows that the average income for the customers is $2,603.11. The
average percent of monthly income is truly 2.01%, while the random sample of 30 customers
shows that the average percent of monthly income is 2.00%.
In the random sample of 30 customers the data shows that the most often monthly revenue that
the companies receive is $40. The actual most often occurring monthly revenue that the
companies receive from the 75 customers is $48. In both the random sample of 30 cell phone
customers and the true 75 cell phone customers neither had a most often occurring income or
percent of monthly income.
The random sample of 30 customers shows that the average monthly revenue that the cell phone
companies receive is $18.44 away from the overall average of $52.00. The random sample of
income of the 30 cell phone customers will be $932.40 off from the overall average of
$2,603.11. The true sample of the income of all 75 cell phone customers will be off $802.29
from the overall average of $2,529.02. Percent of income for the random sample of 30 cell phone
customers will be 0.14% off from the overall average of 2.00%.
The random sample of 30 customers in Table 12.1, shows that the middle 50% of the monthly
revenue occurs between $64.00 and $40.00 for a spread of $24.00. The actual data of all 75
customers in Table 3.1, shows that the middle 50% of the monthly revenue occurs between
$62.00 and $40.00 for a spread of $22.00. The random sample of 30 customers in Table 12.1,
shows that the middle 50% of the customers income falls between $3,273.47 and $42,108.07 for
a spread of $1,165.39. The actual data of all 75 customers in Table 3.1, shows that the middle
50% of the customers income falls between $3,101.19 and $1,993.93 for a spread of $1,107.26.
The random sample of 30 customers in Table 12.1, shows that the middle 50% of the percent of
monthly income occurs between 2.10% and 1.91% for a spread of 0.19%. The actual data of all
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