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Question (31)

QN0020082

In the family-size frequency table, the 18th and 19th observations fall under family size:

(A) 4
(B) 5
(C) 6
(D) 7

Correct Answer: B

Explanation:

Positions 15 to 23 correspond to family size 5.

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Question (32)

QN0020083

The mean of the first 50 natural numbers is:

(A) 24.5
(B) 25
(C) 25.5
(D) 26

Correct Answer: C

Explanation:

Mean of first n natural numbers = (1 + 50) ÷ 2 = 25.5.

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Question (33)

QN0020084

The mean of the first 50 odd numbers is:

(A) 49
(B) 50
(C) 51
(D) 52

Correct Answer: B

Explanation:

Mean = (1 + 99) ÷ 2 = 50.

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Question (34)

QN0020085

The mean of the first 50 multiples of 4 is:

(A) 98
(B) 100
(C) 102
(D) 104

Correct Answer: C

Explanation:

First term = 4, last term = 200. Mean = (4 + 200) ÷ 2 = 102.

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Question (35)

QN0020086

A class average height is 150.2 cm. Every student's measured height includes 1 cm due to shoes. The correct average height is:

(A) 149.2 cm
(B) 150.2 cm
(C) 151.2 cm
(D) Cannot be determined

Correct Answer: A

Explanation:

Subtracting 1 cm from each height reduces the mean by 1 cm.

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Question (36)

QN0020087

Which statement is always true?

(A) Including a value greater than the mean increases the mean.
(B) Including any value increases the mean.
(C) Including a value less than the mean increases the mean.
(D) Mean never changes.

Correct Answer: A

Explanation:

A value above the mean pulls the mean upward.

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Question (37)

QN0020088

Which statement is always true regarding median?

(A) Median is affected only by the largest value.
(B) Median is the middle value in sorted data.
(C) Median equals mean.
(D) Median is the sum of observations.

Correct Answer: B

Explanation:

Median is defined as the middle value of ordered data.

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Question (38)

QN0020089

If all values in a data set are increased by the same number, the relative position of the mean:

(A) changes randomly
(B) becomes zero
(C) stays the same
(D) doubles

Correct Answer: C

Explanation:

The mean increases by the same amount as every observation.

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Question (39)

QN0020090

If every value in a data set is multiplied by 3 and the original mean is 16, the new mean is:

(A) 19
(B) 32
(C) 48
(D) 64

Correct Answer: C

Explanation:

New mean = 16 × 3 = 48.

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Question (40)

QN0020091

A data set has mean 50. Two values, 40 and 60, are added. The mean will:

(A) increase
(B) decrease
(C) remain unchanged
(D) become 100

Correct Answer: C

Explanation:

The average of 40 and 60 is 50, equal to the original mean.

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Question (31)

In the family-size frequency table, the 18th and 19th observations fall under family size:

Explanation:

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Question (32)

The mean of the first 50 natural numbers is:

Explanation:

Link:

Question (33)

The mean of the first 50 odd numbers is:

Explanation:

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Question (34)

The mean of the first 50 multiples of 4 is:

Explanation:

Link:

Question (35)

A class average height is 150.2 cm. Every student's measured height includes 1 cm due to shoes. The correct average height is:

Explanation:

Link:

Question (36)

Which statement is always true?

Explanation:

Link:

Question (37)

Which statement is always true regarding median?

Explanation:

Link:

Question (38)

If all values in a data set are increased by the same number, the relative position of the mean:

Explanation:

Link:

Question (39)

If every value in a data set is multiplied by 3 and the original mean is 16, the new mean is:

Explanation:

Link:

Question (40)

A data set has mean 50. Two values, 40 and 60, are added. The mean will:

Explanation:

Link:

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