Q. Calculate the range of the data set: 12, 15, 22, 30, 5.
Solution
Range = Maximum - Minimum = 30 - 5 = 25.
Correct Answer: A — 25
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Q. Calculate the range of the data set: 4, 8, 15, 16, 23, 42.
Solution
Range = Maximum - Minimum = 42 - 4 = 38.
Correct Answer: A — 38
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Q. Calculate the range of the data set: 8, 12, 15, 20, 22.
Solution
Range = Max - Min = 22 - 8 = 14.
Correct Answer: A — 10
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Q. Calculate the range of the following data set: 12, 15, 20, 22, 30.
Solution
Range = Maximum - Minimum = 30 - 12 = 18.
Correct Answer: C — 18
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Q. Calculate the range of the following data set: 15, 22, 8, 19, 30.
Solution
Range = max - min = 30 - 8 = 22.
Correct Answer: D — 30
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Q. Calculate the range of the following data set: 4, 8, 15, 16, 23, 42.
Solution
Range = Maximum - Minimum = 42 - 4 = 38.
Correct Answer: A — 38
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Q. Calculate the range of the following data set: 8, 12, 15, 7, 10.
Solution
Range = Maximum - Minimum = 15 - 7 = 8.
Correct Answer: A — 5
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Q. Calculate the variance of the data set {2, 4, 4, 4, 5, 5, 7, 9}.
Solution
Mean = 5, 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 = 4.
Correct Answer: B — 6
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Q. Calculate the variance of the data set {4, 8, 6, 5, 3}.
-
A.
2.5
-
B.
3.2
-
C.
1.5
-
D.
4.0
Solution
Mean = (4+8+6+5+3)/5 = 5.2. Variance = [(4-5.2)² + (8-5.2)² + (6-5.2)² + (5-5.2)² + (3-5.2)²]/5 = 2.5.
Correct Answer: A — 2.5
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Q. Calculate the weighted mean of the following data: (10, 2), (20, 3), (30, 5).
Solution
Weighted Mean = (10*2 + 20*3 + 30*5) / (2 + 3 + 5) = 220 / 10 = 22.
Correct Answer: B — 25
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Q. Calculate the weighted mean of the following data: (2, 3), (4, 5), (6, 7) where the first number is the weight.
Solution
Weighted mean = (2*3 + 4*5 + 6*7) / (2 + 4 + 6) = (6 + 20 + 42) / 12 = 68 / 12 = 5.67.
Correct Answer: C — 5.5
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Q. Calculate the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 respectively.
Solution
Weighted mean = (10*1 + 20*2 + 30*3) / (1 + 2 + 3) = 140 / 6 = 23.33.
Correct Answer: B — 25
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Q. Calculate the weighted mean of the scores 70, 80, and 90 with weights 1, 2, and 3 respectively.
Solution
Weighted mean = (70*1 + 80*2 + 90*3) / (1 + 2 + 3) = 85.
Correct Answer: B — 85
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Q. Find the arithmetic mean of the first five prime numbers.
Solution
First five primes: 2, 3, 5, 7, 11. Mean = (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.
Correct Answer: C — 7
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Q. Find the arithmetic mean of the numbers 12, 15, 18, 21, and 24.
Solution
Mean = (12 + 15 + 18 + 21 + 24) / 5 = 90 / 5 = 18.
Correct Answer: A — 18
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Q. Find the median of the following numbers: 1, 3, 3, 6, 7, 8, 9.
Solution
Arranging the numbers: 1, 3, 3, 6, 7, 8, 9. Median = 6 (middle value).
Correct Answer: B — 6
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Q. Find the median of the following set of numbers: 1, 3, 3, 6, 7, 8, 9.
Solution
Arranging the numbers: 1, 3, 3, 6, 7, 8, 9. Median = 6 (middle value).
Correct Answer: B — 6
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Q. Find the median of the following set of numbers: 3, 1, 4, 2.
Solution
Arranging the numbers: 1, 2, 3, 4. Median = (2 + 3) / 2 = 2.5.
Correct Answer: B — 2.5
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Q. Find the range of the data set: 10, 15, 20, 25, 30.
Solution
Range = Maximum - Minimum = 30 - 10 = 20.
Correct Answer: A — 15
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Q. Find the range of the data set: 12, 15, 20, 22, 30.
Solution
Range = Maximum - Minimum = 30 - 12 = 18.
Correct Answer: C — 18
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Q. Find the range of the data set: 12, 15, 22, 30, 5.
Solution
Range = max - min = 30 - 5 = 25.
Correct Answer: A — 25
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Q. Find the range of the data set: 8, 12, 15, 20, 25.
Solution
Range = Maximum - Minimum = 25 - 8 = 17.
Correct Answer: A — 12
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Q. Find the weighted mean of the numbers 10, 20, and 30 with weights 1, 2, and 3 respectively.
Solution
Weighted mean = (10*1 + 20*2 + 30*3) / (1 + 2 + 3) = (10 + 40 + 90) / 6 = 140 / 6 = 23.33.
Correct Answer: B — 25
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Q. For the data set 10, 20, 30, 40, 50, what is the mean deviation?
Solution
Mean = 30; Mean Deviation = (|10-30| + |20-30| + |30-30| + |40-30| + |50-30|) / 5 = 10.
Correct Answer: B — 15
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Q. For the data set {10, 12, 23, 23, 16, 23, 21}, what is the mode?
Solution
The mode is the number that appears most frequently, which is 23.
Correct Answer: C — 23
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Q. For the data set {12, 15, 20, 22, 25}, what is the mode?
-
A.
12
-
B.
15
-
C.
20
-
D.
No mode
Solution
There is no mode as all values appear only once.
Correct Answer: D — No mode
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Q. For the data set {2, 4, 6, 8, 10}, what is the mean deviation?
Solution
Mean = 6; Mean deviation = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|)/5 = (4 + 2 + 0 + 2 + 4)/5 = 12/5 = 2.4.
Correct Answer: B — 1.6
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Q. For the data set {4, 8, 6, 5, 3}, what is the mean?
-
A.
4.5
-
B.
5.5
-
C.
6.0
-
D.
5.0
Solution
Mean = (4 + 8 + 6 + 5 + 3) / 5 = 26 / 5 = 5.0.
Correct Answer: D — 5.0
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Q. For the data set: 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. For the data set: 5, 7, 8, 9, 10, what is the mean absolute deviation?
Solution
Mean = 7.5; MAD = (|5-7.5| + |7-7.5| + |8-7.5| + |9-7.5| + |10-7.5|) / 5 = 1.
Correct Answer: B — 2
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