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Question (1)

QN0029493

The mean of five numbers is 18. If a new number 28 is added to the collection, what will be the new mean?

(A) 18
(B) 19
(C) 20
(D) 21

Correct Answer: C

Explanation:

Sum of first 5 numbers = 5 × 18 = 90. New sum = 90 + 28 = 118. New mean = 118 ÷ 6 ≈ 19.67, which is closest to 20.

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Question (2)

QN0029494

A data set has mean 24. If every value in the set is increased by 7, the new mean becomes:

(A) 24
(B) 31
(C) 17
(D) 168

Correct Answer: B

Explanation:

When each value increases by 7, the mean also increases by 7. So, new mean = 24 + 7 = 31.

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Question (3)

QN0029495

The mean of 8 numbers is 15. One number 19 was recorded as 25 by mistake. The incorrect mean obtained was 15. The correct mean is:

(A) 14.25
(B) 15
(C) 14.5
(D) 15.75

Correct Answer: A

Explanation:

Incorrect total = 8 × 15 = 120. Since 25 was written instead of 19, reduce total by 6. Correct total = 114. Correct mean = 114 ÷ 8 = 14.25.

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Question (4)

QN0029496

The median of the data 6, 9, 11, 15, 18, 20, 23 is:

(A) 11
(B) 15
(C) 18
(D) 20

Correct Answer: B

Explanation:

There are 7 observations. The middle (4th) observation is 15.

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Question (5)

QN0029497

The mean of a data set remains unchanged when:

(A) A value less than the mean is added
(B) A value greater than the mean is added
(C) A value equal to the mean is added
(D) Any value is added

Correct Answer: C

Explanation:

Adding a value equal to the existing mean does not affect the mean.

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Question (6)

QN0029498

The mean of 12 observations is 25. If each observation is doubled, the new mean becomes:

(A) 25
(B) 50
(C) 37.5
(D) 100

Correct Answer: B

Explanation:

Multiplying every observation by 2 also doubles the mean. Therefore, new mean = 50.

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Question (7)

QN0029499

The frequencies of marks are given below: Marks: 10, 20, 30, 40 and corresponding frequencies are 2, 3, 4, 1. The total number of observations is:

(A) 10
(B) 40
(C) 100
(D) 4

Correct Answer: A

Explanation:

Total observations = 2 + 3 + 4 + 1 = 10.

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Question (8)

QN0029500

For the data where marks are 10, 20, 30, 40 and frequencies are 2, 3, 4, 1 respectively, the mean marks are:

(A) 22
(B) 24
(C) 26
(D) 28

Correct Answer: B

Explanation:

Mean = (10×2 + 20×3 + 30×4 + 40×1) ÷ 10 = 240 ÷ 10 = 24.

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Question (9)

QN0029501

A spreadsheet formula to calculate the average of cells B2 to B8 is:

(A) =SUM(B2:B8)
(B) =AVERAGE(B2:B8)
(C) =MEAN(B2:B8)
(D) =AVG(B2:B8)

Correct Answer: B

Explanation:

The AVERAGE function computes the arithmetic mean of values in the specified range.

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Question (10)

QN0029502

The median of the data 4, 7, 9, 13, 18, 21, 25, 28 is:

(A) 11
(B) 13
(C) 15.5
(D) 18

Correct Answer: C

Explanation:

There are 8 observations. Median = (13 + 18) ÷ 2 = 15.5.

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Question (1)

The mean of five numbers is 18. If a new number 28 is added to the collection, what will be the new mean?

Explanation:

Link:

Question (2)

A data set has mean 24. If every value in the set is increased by 7, the new mean becomes:

Explanation:

Link:

Question (3)

The mean of 8 numbers is 15. One number 19 was recorded as 25 by mistake. The incorrect mean obtained was 15. The correct mean is:

Explanation:

Link:

Question (4)

The median of the data 6, 9, 11, 15, 18, 20, 23 is:

Explanation:

Link:

Question (5)

The mean of a data set remains unchanged when:

Explanation:

Link:

Question (6)

The mean of 12 observations is 25. If each observation is doubled, the new mean becomes:

Explanation:

Link:

Question (7)

The frequencies of marks are given below: Marks: 10, 20, 30, 40 and corresponding frequencies are 2, 3, 4, 1. The total number of observations is:

Explanation:

Link:

Question (8)

For the data where marks are 10, 20, 30, 40 and frequencies are 2, 3, 4, 1 respectively, the mean marks are:

Explanation:

Link:

Question (9)

A spreadsheet formula to calculate the average of cells B2 to B8 is:

Explanation:

Link:

Question (10)

The median of the data 4, 7, 9, 13, 18, 21, 25, 28 is:

Explanation:

Link:

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