Q. What is the range of the data set {15, 22, 18, 30, 25}?
Solution
Range = Maximum value - Minimum value = 30 - 15 = 15.
Correct Answer: A — 15
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Q. What is the range of the data set {15, 22, 30, 18, 25}?
Solution
Range = Maximum - Minimum = 30 - 15 = 15.
Correct Answer: A — 15
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Q. What is the range of the data set {4, 8, 6, 5, 3}?
Solution
Range = Maximum value - Minimum value = 8 - 3 = 5.
Correct Answer: A — 5
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Q. What is the range of the data set {5, 8, 12, 15, 20}?
Solution
Range = Maximum value - Minimum value = 20 - 5 = 15.
Correct Answer: A — 15
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Q. What is the standard deviation of the data set {10, 12, 23, 23, 16, 23, 21, 16}?
Solution
Mean = 19.5, Variance = 25, Standard Deviation = √25 = 5.
Correct Answer: A — 5
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Q. What is the standard deviation of the data set {10, 12, 23, 23, 16, 23, 21}?
-
A.
5.5
-
B.
4.5
-
C.
6.5
-
D.
3.5
Solution
Mean = 19.14, Variance = 20.25, Standard Deviation = √20.25 = 4.5.
Correct Answer: B — 4.5
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Q. What is the standard deviation of the data set {4, 8, 6, 5, 3}?
-
A.
1.58
-
B.
2.58
-
C.
3.58
-
D.
4.58
Solution
Mean = 5.2. Variance = [(4-5.2)² + (8-5.2)² + (6-5.2)² + (5-5.2)² + (3-5.2)²]/5 = 6.56. Standard Deviation = √6.56 ≈ 2.56.
Correct Answer: B — 2.58
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Q. What is the standard deviation of the data set: 1, 2, 3, 4, 5?
Solution
Mean = 3. Standard Deviation = sqrt[((1-3)^2 + (2-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2)/5] = sqrt[2] = 1.414.
Correct Answer: A — 1
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Q. What is the variance of the data set {4, 8, 6, 5, 3}?
Solution
Mean = 5.2; Variance = [(4-5.2)² + (8-5.2)² + (6-5.2)² + (5-5.2)² + (3-5.2)²] / 5 = 2.56.
Correct Answer: A — 2.5
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Q. What is the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9?
-
A.
2.5
-
B.
3.5
-
C.
4.5
-
D.
5.5
Solution
Mean = 5.0; Variance = [(2-5)^2 + (4-5)^2 + (4-5)^2 + (4-5)^2 + (5-5)^2 + (5-5)^2 + (7-5)^2 + (9-5)^2] / 8 = 2.5.
Correct Answer: A — 2.5
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Q. What is the variance of the following data set: {5, 7, 8, 9, 10}?
Solution
Mean = 7.8, Variance = [(5-7.8)² + (7-7.8)² + (8-7.8)² + (9-7.8)² + (10-7.8)²] / 5 = 3.
Correct Answer: B — 3
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Q. Which measure of dispersion is affected by extreme values?
-
A.
Range
-
B.
Variance
-
C.
Standard Deviation
-
D.
All of the above
Solution
All of these measures are affected by extreme values in the data set.
Correct Answer: D — All of the above
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Q. Which measure of dispersion is not affected by extreme values?
-
A.
Range
-
B.
Variance
-
C.
Standard Deviation
-
D.
Interquartile Range
Solution
Interquartile Range is not affected by extreme values.
Correct Answer: D — Interquartile Range
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Q. Which of the following measures is NOT a measure of dispersion?
-
A.
Range
-
B.
Variance
-
C.
Mean
-
D.
Standard Deviation
Solution
Mean is a measure of central tendency, not dispersion.
Correct Answer: C — Mean
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Q. Which of the following measures of dispersion is affected by extreme values?
-
A.
Range
-
B.
Interquartile Range
-
C.
Variance
-
D.
Standard Deviation
Solution
Range is affected by extreme values as it is calculated as the difference between the maximum and minimum values.
Correct Answer: A — Range
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