Listed below are contributions (in dollars) made to two presidential candidates
ID: 3129907 • Letter: L
Question
Listed below are contributions (in dollars) made to two presidential candidates in a recent election. Find the coefficient of variance for each data set. Is there a difference in variation between the two data sets?
Candidate A: 381, 1677, 386, 1755, 1043, 1000, 1750, 1000, 1500
630, 258, 309, 1548, 1055, 1303
Candidate B 845, 344, 1199, 499, 65, 992, 1433, 448, 239,
1394, 985, 785, 649, 741, 275
The coefficient of variation for the contributions to Candidate A is _____%
The coefficient of variation for the contributions to Candidate B is _____%
Is there a difference in Variation between the two data sets? Consider a difference of greater than 1% to be significant
A) the contributions to candidate A have significantlly less variation than the contributions to Candidate B
B) The contributions to candidate B have signifcantly less variation than the contributions to Candidate A
C) There is no significant difference in variations
Explanation / Answer
Listed below are contributions (in dollars) made to two presidential candidates in a recent election. Find the coefficient of variance for each data set. Is there a difference in variation between the two data sets?
Candidate A: 381, 1677, 386, 1755, 1043, 1000, 1750, 1000, 1500
630, 258, 309, 1548, 1055, 1303
Candidate B 845, 344, 1199, 499, 65, 992, 1433, 448, 239,
1394, 985, 785, 649, 741, 275
Descriptive statistics
A
B
count
15
15
mean
1,039.67
726.20
sample standard deviation
543.75
421.19
sample variance
295,667.24
177,404.46
minimum
258
65
maximum
1755
1433
range
1497
1368
skewness
-0.14
0.23
kurtosis
-1.44
-0.88
coefficient of variation (CV)
52.30%
58.00%
The coefficient of variation for the contributions to Candidate A is 52.30 %
The coefficient of variation for the contributions to Candidate B is 58.00 %
Is there a difference in Variation between the two data sets? Consider a difference of greater than 1% to be significant
A) the contributions to candidate A have significantlly less variation than the contributions to Candidate B
B) The contributions to candidate B have signifcantly less variation than the contributions to Candidate A
C) There is no significant difference in variations
Descriptive statistics
A
B
count
15
15
mean
1,039.67
726.20
sample standard deviation
543.75
421.19
sample variance
295,667.24
177,404.46
minimum
258
65
maximum
1755
1433
range
1497
1368
skewness
-0.14
0.23
kurtosis
-1.44
-0.88
coefficient of variation (CV)
52.30%
58.00%
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