Measures of Central Tendency - Exam Prep Insights

Measures of Central Tendency (Mean, Median, Mode) - Applications

Q. For the data set 1, 2, 3, 4, 5, what is the median?

A. 2
B. 3
C. 4
D. 5

Solution

Median is the middle value. The sorted data is 1, 2, 3, 4, 5. Median = 3.

Correct Answer: B — 3

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Q. For the data set 10, 20, 30, 40, 50, what is the median?

A. 20
B. 30
C. 25
D. 40

Solution

Median = (30 + 40) / 2 = 35, since there are 5 numbers.

Correct Answer: B — 30

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Q. For the data set 12, 15, 12, 18, 20, what is the median?

A. 15
B. 16
C. 17
D. 18

Solution

Median = 15, as the sorted data is 12, 12, 15, 18, 20.

Correct Answer: A — 15

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Q. For the data set 3, 7, 8, 12, what is the median?

A. 7
B. 8
C. 10
D. 12

Solution

Median is the average of 7 and 8, which is 7.5.

Correct Answer: B — 8

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Q. If the mean of a data set is 30 and the total number of observations is 10, what is the total sum of the observations?

A. 300
B. 150
C. 100
D. 50

Solution

Total sum = Mean * Number of observations = 30 * 10 = 300.

Correct Answer: A — 300

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Q. If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?

A. 1
B. 2
C. 3
D. 4

Solution

Z-score = (60 - 50) / 5 = 2.

Correct Answer: B — 2

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Q. In a data set of 7, 8, 9, 10, 10, 10, 11, what is the mode?

A. 7
B. 8
C. 10
D. 11

Solution

The mode is 10, as it appears most frequently.

Correct Answer: C — 10

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Q. In a data set, if the mean is 50 and the standard deviation is 5, what is the z-score of a value 60?

A. 1
B. 2
C. 3
D. 4

Solution

Z-score = (X - Mean) / Standard Deviation = (60 - 50) / 5 = 2.

Correct Answer: A — 1

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Q. In the data set 10, 12, 10, 14, 16, what is the mode?

A. 10
B. 12
C. 14
D. 16

Solution

Mode is the number that appears most frequently. Here, 10 appears twice.

Correct Answer: A — 10

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Q. In the data set 2, 3, 5, 7, 7, what is the mode?

A. 2
B. 3
C. 5
D. 7

Solution

The mode is the number that appears most frequently, which is 7.

Correct Answer: D — 7

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Q. What is the mean of the following numbers: 15, 25, 35, 45?

A. 25
B. 30
C. 35
D. 40

Solution

Mean = (15 + 25 + 35 + 45) / 4 = 30.

Correct Answer: B — 30

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Q. What is the mean of the following numbers: 5, 10, 15, 20?

A. 10
B. 12.5
C. 15
D. 17.5

Solution

Mean = (5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5.

Correct Answer: B — 12.5

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Q. What is the mode of the data set: 5, 5, 6, 7, 8, 8, 8?

A. 5
B. 6
C. 7
D. 8

Solution

The mode is 8, as it appears most frequently.

Correct Answer: D — 8

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Showing 1 to 13 of 13 (1 Pages)

Measures of Central Tendency (Mean, Median, Mode) - Applications

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