EWT | Academic Question

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Question (11)
QN0020062
A data set has mean 35. A new value 25 is included. The new mean will:
  • (A) increase
  • (B) decrease
  • (C) remain same
  • (D) become 25

Correct Answer: B
Explanation:

Adding a value less than the mean decreases the mean.

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Question (12)
QN0020063
A value equal to the mean is added to a data set. The mean will:
  • (A) increase
  • (B) decrease
  • (C) remain unchanged
  • (D) become zero

Correct Answer: C
Explanation:

Adding the mean itself does not change the mean.

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Question (13)
QN0020064
The mean of a data set is 18. Which pair can be added without changing the mean?
  • (A) 12 and 24
  • (B) 15 and 21
  • (C) 10 and 26
  • (D) All of these

Correct Answer: D
Explanation:

Each pair has average 18.

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Question (14)
QN0020065
The mean of 8, 3, 10, 13, 4, 6, 7, 7, 8, 8, 5 is:
  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 9

Correct Answer: B
Explanation:

Sum = 79, Mean = 79 ÷ 11 ≈ 7.18 ≈ 7.

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Question (15)
QN0020066
If 10 is added to every value of a data set whose mean is 24, the new mean becomes:
  • (A) 14
  • (B) 24
  • (C) 34
  • (D) 240

Correct Answer: C
Explanation:

New mean = 24 + 10 = 34.

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Question (16)
QN0020067
If 3 is subtracted from every value of a data set whose mean is 19, the new mean is:
  • (A) 16
  • (B) 19
  • (C) 22
  • (D) 57

Correct Answer: A
Explanation:

New mean = 19 − 3 = 16.

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Question (17)
QN0020068
If every value of a data set is doubled and the original mean is 12, the new mean is:
  • (A) 12
  • (B) 14
  • (C) 24
  • (D) 48

Correct Answer: C
Explanation:

Doubling all values doubles the mean.

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Question (18)
QN0020069
If every value is multiplied by 5 and the original mean is 8, the new mean is:
  • (A) 13
  • (B) 25
  • (C) 40
  • (D) 80

Correct Answer: C
Explanation:

8 × 5 = 40.

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Question (19)
QN0020070
The median of 2, 5, 8, 11, 14 is:
  • (A) 5
  • (B) 8
  • (C) 11
  • (D) 14

Correct Answer: B
Explanation:

The middle value is 8.

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Question (20)
QN0020071
The median of 4, 7, 9, 12 is:
  • (A) 7
  • (B) 8
  • (C) 8.5
  • (D) 9

Correct Answer: C
Explanation:

(7 + 9) ÷ 2 = 8.5.

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