EWT | Academic Question

Questions
Question (21)
QN0030738
A cricketer scored 45, 52, 38, 60 and 55 runs in five matches. What is the mean score?
  • (A) 48
  • (B) 49
  • (C) 50
  • (D) 51

Correct Answer: C
Explanation:

Mean = (45 + 52 + 38 + 60 + 55) ÷ 5 = 250 ÷ 5 = 50.

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Question (22)
QN0030739
Which statement about a representative value is correct?
  • (A) It always equals the largest observation.
  • (B) It helps describe the data using a single value.
  • (C) It ignores most of the observations.
  • (D) It is always a whole number.

Correct Answer: B
Explanation:

A representative value summarizes an entire data set using a single value.

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Question (23)
QN0030740
The mean of 10 numbers is 14. If one more number, 25, is included, the new mean is
  • (A) 14
  • (B) 15
  • (C) 15.5
  • (D) 16

Correct Answer: B
Explanation:

Original total = 14 × 10 = 140. New total = 165. New mean = 165 ÷ 11 = 15.

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Question (24)
QN0030741
The mean of 9, 12, 15, 18 and 21 is
  • (A) 14
  • (B) 15
  • (C) 16
  • (D) 17

Correct Answer: B
Explanation:

Mean = (9 + 12 + 15 + 18 + 21) ÷ 5 = 75 ÷ 5 = 15.

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Question (25)
QN0030742
If the total of eight observations is 200, their mean is
  • (A) 20
  • (B) 24
  • (C) 25
  • (D) 28

Correct Answer: C
Explanation:

Mean = 200 ÷ 8 = 25.

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Question (26)
QN0030743
The mean of five numbers is 30. If one number is removed, can the new mean be determined?
  • (A) Yes, it will remain 30.
  • (B) Yes, it will become smaller.
  • (C) Yes, it will become larger.
  • (D) No, more information is needed.

Correct Answer: D
Explanation:

The removed value is unknown, so the new mean cannot be determined.

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Question (27)
QN0030744
A class has 12 students with an average height of 145 cm. What is the total of their heights?
  • (A) 1620 cm
  • (B) 1680 cm
  • (C) 1740 cm
  • (D) 1800 cm

Correct Answer: C
Explanation:

Total height = 145 × 12 = 1740 cm.

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Question (28)
QN0030745
The mean of 5 consecutive even numbers is 24. What is the smallest number?
  • (A) 18
  • (B) 20
  • (C) 22
  • (D) 24

Correct Answer: B
Explanation:

The numbers are 20, 22, 24, 26 and 28.

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Question (29)
QN0030746
Which of the following cannot be concluded from knowing only the mean of a data set?
  • (A) Total of all observations
  • (B) Number of observations, if total is known
  • (C) Every individual observation
  • (D) Average value of the data

Correct Answer: C
Explanation:

Different data sets can have the same mean.

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Question (30)
QN0030747
The average number of books read by 8 students is 6. If all students read the same number of books, each student read
  • (A) 5 books
  • (B) 6 books
  • (C) 7 books
  • (D) 8 books

Correct Answer: B
Explanation:

If all observations are equal, each observation equals the mean.

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