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Question (41)

QN0037111

A distribution has mean 18 and median 20. Using the empirical relation, the mode is:

(A) 20
(B) 22
(C) 24
(D) 26

Correct Answer: C

Explanation:

Mode = 3(20) − 2(18) = 60 − 36 = 24.

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Question (42)

QN0037112

If mean = 25 and mode = 29, the empirical relation gives the median as:

(A) 26
(B) 27
(C) 28
(D) 29

Correct Answer: B

Explanation:

29 = 3 Median − 50, so Median = 79/3 ≈ 26.33. None of the options is exact.

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Question (43)

QN0037113

If the mean is 30 and the median is 28, the mode is:

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

Correct Answer: A

Explanation:

Mode = 3(28) − 2(30) = 84 − 60 = 24. Correct answer is (b).

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Question (44)

QN0037114

For a distribution with mean 15 and median 17, the mode is:

(A) 17
(B) 19
(C) 21
(D) 23

Correct Answer: C

Explanation:

Mode = 3(17) − 2(15) = 51 − 30 = 21.

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Question (45)

QN0037115

If the median class is 30–40, which statement must be true?

(A) Half the observations are exactly 35
(B) The median must be 35
(C) The value N/2 lies within the cumulative frequency range of this class
(D) The modal class is 30–40

Correct Answer: C

Explanation:

The median class is identified by the cumulative frequency containing N/2.

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Question (46)

QN0037116

A company wants a measure of central tendency that is less affected by a few extremely high salaries. Which measure is generally appropriate?

(A) Mean
(B) Median
(C) Class mark
(D) Frequency

Correct Answer: B

Explanation:

Median is less affected by extreme observations.

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Question (47)

QN0037117

In a grouped distribution, if every observation is increased by 5, the mean also:

(A) Decreases by 5
(B) Remains unchanged
(C) Increases by 5
(D) Becomes five times

Correct Answer: C

Explanation:

Adding 5 to every observation increases the mean by 5.

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Question (48)

QN0037118

If every observation in a distribution is multiplied by 3, the mean becomes:

(A) One-third of the original
(B) Three times the original
(C) Original + 3
(D) Unchanged

Correct Answer: B

Explanation:

Multiplying every observation by 3 multiplies the mean by 3.

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Question (49)

QN0037119

Which measure is particularly useful when the data represent the most commonly occurring size or category?

(A) Mean
(B) Median
(C) Mode
(D) Cumulative frequency

Correct Answer: C

Explanation:

Mode identifies the most frequently occurring value or category.

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Question (50)

QN0037120

A distribution has total frequency 90. The cumulative frequency just before the median class is 35. If the median class has frequency 20, then N/2 − cf is:

(A) 5
(B) .
(C) 15
(D) 20

Correct Answer: A

Explanation:

N/2 − cf = 45 − 35 = 10. Correct answer is (b).

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Question (41)

A distribution has mean 18 and median 20. Using the empirical relation, the mode is:

Explanation:

Link:

Question (42)

If mean = 25 and mode = 29, the empirical relation gives the median as:

Explanation:

Link:

Question (43)

If the mean is 30 and the median is 28, the mode is:

Explanation:

Link:

Question (44)

For a distribution with mean 15 and median 17, the mode is:

Explanation:

Link:

Question (45)

If the median class is 30–40, which statement must be true?

Explanation:

Link:

Question (46)

A company wants a measure of central tendency that is less affected by a few extremely high salaries. Which measure is generally appropriate?

Explanation:

Link:

Question (47)

In a grouped distribution, if every observation is increased by 5, the mean also:

Explanation:

Link:

Question (48)

If every observation in a distribution is multiplied by 3, the mean becomes:

Explanation:

Link:

Question (49)

Which measure is particularly useful when the data represent the most commonly occurring size or category?

Explanation:

Link:

Question (50)

A distribution has total frequency 90. The cumulative frequency just before the median class is 35. If the median class has frequency 20, then N/2 − cf is:

Explanation:

Link:

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