Module 2 Additional Problem Set
1) The list below contains the earnings (in millions of dollars) of the celebrities with the
five highest incomes in a recent year. The celebrities are (in order) Steven Spielberg,
Howard Stern, George Lucas, Oprah Winfrey, and Jerry Seinfeld. Calculate the mean,
median, range, variance, and standard deviation for these values.
325 298 232 218 110
Mean
Σ X 325+298+232+218+110
X= = =236.6
n 5
Median
110, 218, 232, 298, 325
Range
range= X max − X min
range=325−110
range=215
Variance
Celebrity Earnings
X ( X−X ) ( X − X )2
110 -126.6 16027.56
218 -18.6 345.96
232 -4.6 21.16
298 61.4 3769.96
325 88.4 7814.56
Σ ( X − X )2 27979.2
Σ ( X − X )2
s2=
n−1
27979.2
s2=
5−1
s 2=6994.8
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, Standard Deviation
s= √ s 2
s= √ 6994.8
s=83.64
2) The following times (seconds) were recorded when biology students participated in
an experiment to test their ability to determine when 1 minute (60 seconds) had passed.
Calculate the mean, median, range, variance, and standard deviation for these values.
52 51 73 61 68 58 53 48
Mean
Σ X 52+51+73+61+68+58+53+48
X= = =58
n 8
Median
48, 51, 52, 53, 58, 61, 68, 73
53+58
Median= =55.5
2
Range
range= X max − X min
range=73−48
range=25
Variance
Time Perception
X ( X−X ) ( X − X )2
48 -10 100
51 -7 49
52 -6 36
53 -5 25
58 0 0
61 3 9
68 10 100
73 15 225
Σ ( X − X )2 544
This study source was downloaded by 100000899984848 from CourseHero.com on 07-10-2025 14:46:15 GMT -05:00
https://www.coursehero.com/file/250320094/CNSL-503-Module-2-Additional-Problem-Set-Answer-Keydocx/
1) The list below contains the earnings (in millions of dollars) of the celebrities with the
five highest incomes in a recent year. The celebrities are (in order) Steven Spielberg,
Howard Stern, George Lucas, Oprah Winfrey, and Jerry Seinfeld. Calculate the mean,
median, range, variance, and standard deviation for these values.
325 298 232 218 110
Mean
Σ X 325+298+232+218+110
X= = =236.6
n 5
Median
110, 218, 232, 298, 325
Range
range= X max − X min
range=325−110
range=215
Variance
Celebrity Earnings
X ( X−X ) ( X − X )2
110 -126.6 16027.56
218 -18.6 345.96
232 -4.6 21.16
298 61.4 3769.96
325 88.4 7814.56
Σ ( X − X )2 27979.2
Σ ( X − X )2
s2=
n−1
27979.2
s2=
5−1
s 2=6994.8
This study source was downloaded by 100000899984848 from CourseHero.com on 07-10-2025 14:46:15 GMT -05:00
https://www.coursehero.com/file/250320094/CNSL-503-Module-2-Additional-Problem-Set-Answer-Keydocx/
, Standard Deviation
s= √ s 2
s= √ 6994.8
s=83.64
2) The following times (seconds) were recorded when biology students participated in
an experiment to test their ability to determine when 1 minute (60 seconds) had passed.
Calculate the mean, median, range, variance, and standard deviation for these values.
52 51 73 61 68 58 53 48
Mean
Σ X 52+51+73+61+68+58+53+48
X= = =58
n 8
Median
48, 51, 52, 53, 58, 61, 68, 73
53+58
Median= =55.5
2
Range
range= X max − X min
range=73−48
range=25
Variance
Time Perception
X ( X−X ) ( X − X )2
48 -10 100
51 -7 49
52 -6 36
53 -5 25
58 0 0
61 3 9
68 10 100
73 15 225
Σ ( X − X )2 544
This study source was downloaded by 100000899984848 from CourseHero.com on 07-10-2025 14:46:15 GMT -05:00
https://www.coursehero.com/file/250320094/CNSL-503-Module-2-Additional-Problem-Set-Answer-Keydocx/
