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Question (21)

QN0037091

For the data with class marks 10, 20, 30 and 40 and frequencies 3, 5, 4 and 2, the mean is:

(A) 23
(B) 24
(C) 25
(D) 26

Correct Answer: B

Explanation:

Mean = (30 + 100 + 120 + 80)/14 = 330/14 ≈ 23.57, so none of the options is exact.

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Question (22)

QN0037092

A distribution has class marks 5, 15, 25 and 35 with frequencies 1, 3, 4 and 2. Its mean is:

(A) .
(B) 23
(C) 24
(D) 25

Correct Answer: B

Explanation:

Mean = (5 + 45 + 100 + 70)/10 = 220/10 = 22. Correct answer is (a).

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Question (23)

QN0037093

If the assumed mean is changed but the data remain unchanged, the calculated mean:

(A) Changes
(B) Becomes zero
(C) Remains unchanged
(D) Doubles

Correct Answer: C

Explanation:

The assumed mean is only a computational convenience; the actual mean remains unchanged.

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Question (24)

QN0037094

For class intervals 10–20, 20–30 and 30–40 with frequencies 4, 6 and 10, the modal class is:

(A) 10–20
(B) 20–30
(C) 30–40
(D) 20–40

Correct Answer: C

Explanation:

The highest frequency is 10, corresponding to 30–40.

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Question (25)

QN0037095

In a grouped distribution, the frequencies of three consecutive classes are 5, 12 and 7. The modal class is:

(A) First class
(B) Second class
(C) Third class
(D) All three classes

Correct Answer: B

Explanation:

The second class has the highest frequency, 12.

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Question (26)

QN0037096

If the frequencies are 8, 15, 20, 12 and 5, the modal class corresponds to:

(A) Frequency 8
(B) Frequency 15
(C) Frequency 20
(D) Frequency 12

Correct Answer: C

Explanation:

The modal class is the class having the maximum frequency, which is 20.

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Question (27)

QN0037097

For the class intervals 0–10, 10–20, 20–30 and 30–40 with frequencies 3, 8, 12 and 7, the modal class is:

(A) 0–10
(B) 10–20
(C) 20–30
(D) 30–40

Correct Answer: C

Explanation:

The highest frequency is 12, so the modal class is 20–30.

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Question (28)

QN0037098

A grouped distribution has frequencies 4, 7, 11 and 8. If the corresponding class intervals are 0–10, 10–20, 20–30 and 30–40, the modal class is:

(A) 0–10
(B) 10–20
(C) 20–30
(D) 30–40

Correct Answer: C

Explanation:

The highest frequency is 11, corresponding to 20–30.

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Question (29)

QN0037099

For the grouped data below, the cumulative frequencies are 5, 13, 21 and 30. The total frequency is:

(A) 21
(B) 25
(C) 30
(D) 35

Correct Answer: C

Explanation:

The final cumulative frequency equals the total frequency, so N = 30.

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Question (30)

QN0037100

If the frequencies are 6, 8, 10 and 6, the less-than cumulative frequencies are:

(A) 6, 14, 24, 30
(B) 6, 8, 10, 6
(C) 6, 16, 26, 32
(D) 6, 12, 22, 28

Correct Answer: A

Explanation:

Successive cumulative totals are 6, 14, 24 and 30.

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Question (21)

For the data with class marks 10, 20, 30 and 40 and frequencies 3, 5, 4 and 2, the mean is:

Explanation:

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Question (22)

A distribution has class marks 5, 15, 25 and 35 with frequencies 1, 3, 4 and 2. Its mean is:

Explanation:

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Question (23)

If the assumed mean is changed but the data remain unchanged, the calculated mean:

Explanation:

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Question (24)

For class intervals 10–20, 20–30 and 30–40 with frequencies 4, 6 and 10, the modal class is:

Explanation:

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Question (25)

In a grouped distribution, the frequencies of three consecutive classes are 5, 12 and 7. The modal class is:

Explanation:

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Question (26)

If the frequencies are 8, 15, 20, 12 and 5, the modal class corresponds to:

Explanation:

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Question (27)

For the class intervals 0–10, 10–20, 20–30 and 30–40 with frequencies 3, 8, 12 and 7, the modal class is:

Explanation:

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Question (28)

A grouped distribution has frequencies 4, 7, 11 and 8. If the corresponding class intervals are 0–10, 10–20, 20–30 and 30–40, the modal class is:

Explanation:

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Question (29)

For the grouped data below, the cumulative frequencies are 5, 13, 21 and 30. The total frequency is:

Explanation:

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Question (30)

If the frequencies are 6, 8, 10 and 6, the less-than cumulative frequencies are:

Explanation:

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