Q. If the mean of a data set is 20 and the standard deviation is 4, what is the coefficient of variation?
-
A.
20%
-
B.
25%
-
C.
15%
-
D.
10%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4 / 20) * 100 = 20%.
Correct Answer: B — 25%
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Q. If the mean of a data set is 50 and the standard deviation is 10, what is the coefficient of variation?
-
A.
20%
-
B.
10%
-
C.
15%
-
D.
25%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (10 / 50) * 100 = 20%.
Correct Answer: A — 20%
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Q. If the range of a data set is 15 and the minimum value is 5, what is the maximum value?
Solution
Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 15 + 5 = 20.
Correct Answer: C — 20
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Q. If the standard deviation of a data set is 0, what can be said about the data?
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A.
All values are different
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B.
All values are the same
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C.
Values are in a range
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D.
Data is not valid
Solution
A standard deviation of 0 indicates that all values in the data set are the same.
Correct Answer: B — All values are the same
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Q. If the standard deviation of a data set is 3, what is the variance?
Solution
Variance = (Standard Deviation)^2 = 3^2 = 9.
Correct Answer: C — 9
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred about the data?
-
A.
Skewed right
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B.
Skewed left
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C.
Symmetrical
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred?
-
A.
Data is skewed right
-
B.
Data is skewed left
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C.
Data is symmetric
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D.
Data is uniform
Solution
Since the mean is greater than the median, the data is skewed to the right.
Correct Answer: A — Data is skewed right
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Q. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
-
A.
Skewed right
-
B.
Skewed left
-
C.
Symmetric
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
-
A.
Positively skewed
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B.
Negatively skewed
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C.
Symmetrical
-
D.
Uniform
Solution
Since the mean is greater than the mode, the data is positively skewed.
Correct Answer: A — Positively skewed
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Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
-
A.
20%
-
B.
10%
-
C.
5%
-
D.
15%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (2/10) * 100 = 20%.
Correct Answer: A — 20%
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Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
-
A.
Skewed right
-
B.
Skewed left
-
C.
Symmetric
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
-
A.
Positively skewed
-
B.
Negatively skewed
-
C.
Symmetrical
-
D.
Uniform
Solution
Since the mean is greater than the median, the data is positively skewed.
Correct Answer: A — Positively skewed
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Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
-
A.
20%
-
B.
15%
-
C.
10%
-
D.
5%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4/20) * 100 = 20%.
Correct Answer: A — 20%
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Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
Solution
Q1 = 2, Q3 = 4. Interquartile Range = Q3 - Q1 = 4 - 2 = 2.
Correct Answer: B — 2
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Q. In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
-
A.
50%
-
B.
68%
-
C.
75%
-
D.
95%
Solution
In a normal distribution, approximately 68% of the data lies within one standard deviation of the mean.
Correct Answer: B — 68%
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Q. In a normal distribution, what percentage of data lies within one standard deviation of the mean?
-
A.
50%
-
B.
68%
-
C.
75%
-
D.
95%
Solution
In a normal distribution, approximately 68% of the data lies within one standard deviation of the mean.
Correct Answer: B — 68%
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Q. The interquartile range of the data set: 1, 2, 3, 4, 5, 6, 7, 8 is:
Solution
Q1 = 3, Q3 = 6. Interquartile Range = Q3 - Q1 = 6 - 3 = 3.
Correct Answer: B — 3
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Q. The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?
-
A.
5%
-
B.
10%
-
C.
15%
-
D.
20%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.
Correct Answer: B — 10%
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Q. The range of the data set 1, 3, 5, 7, 9 is:
Solution
Range = Maximum - Minimum = 9 - 1 = 8.
Correct Answer: A — 8
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Q. The range of the data set {10, 15, 20, 25, 30} is?
Solution
Range = Maximum value - Minimum value = 30 - 10 = 20.
Correct Answer: A — 15
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Q. What is the 75th percentile of the data set {10, 20, 30, 40, 50}?
Solution
The 75th percentile (Q3) is the value below which 75% of the data falls, which is 40.
Correct Answer: A — 40
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Q. What is the coefficient of variation if the mean is 50 and the standard deviation is 5?
-
A.
5%
-
B.
10%
-
C.
15%
-
D.
20%
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.
Correct Answer: B — 10%
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Q. What is the coefficient of variation if the mean is 50 and the standard deviation is 10?
-
A.
20%
-
B.
10%
-
C.
15%
-
D.
25%
Solution
Coefficient of variation = (Standard deviation / Mean) * 100 = (10 / 50) * 100 = 20%.
Correct Answer: A — 20%
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Q. What is the interquartile range (IQR) of the data set {1, 3, 5, 7, 9, 11, 13, 15}?
Solution
Q1 = 4, Q3 = 10. IQR = Q3 - Q1 = 10 - 4 = 6.
Correct Answer: B — 6
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Q. What is the interquartile range (IQR) of the data set {1, 3, 7, 8, 9, 10}?
Solution
IQR = Q3 - Q1; Q1 = 3, Q3 = 8; IQR = 8 - 3 = 5.
Correct Answer: A — 5
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Q. What is the interquartile range (IQR) of the data set {1, 3, 7, 8, 9}?
Solution
Q1 = 3, Q3 = 8. IQR = Q3 - Q1 = 8 - 3 = 5.
Correct Answer: A — 6
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Q. What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?
Solution
Q1 = 3, Q3 = 7; IQR = Q3 - Q1 = 7 - 3 = 4.
Correct Answer: A — 4
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Q. What is the interquartile range (IQR) of the data set: 1, 3, 5, 7, 9, 11, 13?
Solution
Q1 = 3, Q3 = 9. IQR = Q3 - Q1 = 9 - 3 = 6.
Correct Answer: B — 6
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Q. What is the median of the data set {7, 3, 5, 9, 1}?
Solution
First, arrange the data: {1, 3, 5, 7, 9}. The median is the middle value, which is 5.
Correct Answer: A — 5
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Q. What is the mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5?
Solution
The mode is the number that appears most frequently, which is 4.
Correct Answer: D — 4
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