EWT | Academic Question

Questions
Question (1)
QN0037071
For the grouped data with class intervals 0–10, 10–20, 20–30 and frequencies 3, 5, 2 respectively, what is the mean?
  • (A) 12
  • (B) 13
  • (C) 14
  • (D) 15

Correct Answer: B
Explanation:

Mean = Σfx/Σf = 130/10 = 13.

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Question (2)
QN0037072
The class mark of the class interval 20–30 is:
  • (A) 20
  • (B) 24
  • (C) 25
  • (D) 30

Correct Answer: C
Explanation:

Class mark = (20 + 30)/2 = 25.

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Question (3)
QN0037073
In the direct method of finding the mean of grouped data, xᵢ represents:
  • (A) Frequency
  • (B) Class mark
  • (C) Cumulative frequency
  • (D) Class size

Correct Answer: B
Explanation:

xᵢ denotes the class mark of the ith class.

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Question (4)
QN0037074
If the frequencies are 4, 6, 8 and 2, the total frequency is:
  • (A) 18
  • (B) 19
  • (C) 20
  • (D) 21

Correct Answer: C
Explanation:

Σf = 4 + 6 + 8 + 2 = 20.

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Question (5)
QN0037075
Which measure of central tendency is represented by the value occurring most frequently?
  • (A) Mean
  • (B) Median
  • (C) Mode
  • (D) Range

Correct Answer: C
Explanation:

Mode is the value that occurs most frequently.

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Question (6)
QN0037076
The class containing the highest frequency is called the:
  • (A) Median class
  • (B) Modal class
  • (C) Mean class
  • (D) Central class

Correct Answer: B
Explanation:

The class having the highest frequency is the modal class.

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Question (7)
QN0037077
The median of a distribution divides the observations into:
  • (A) Three equal parts
  • (B) Four equal parts
  • (C) Two equal parts
  • (D) Five equal parts

Correct Answer: C
Explanation:

Median divides the distribution into two equal parts.

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Question (8)
QN0037078
Which cumulative frequency is used for locating the median class in a less-than cumulative frequency table?
  • (A) Greater than N
  • (B) Just greater than N/2
  • (C) Equal to N
  • (D) Less than N/2

Correct Answer: B
Explanation:

The median class is identified using the cumulative frequency just greater than N/2.

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Question (9)
QN0037079
If the total frequency is 60, the value used for locating the median class is:
  • (A) 15
  • (B) 20
  • (C) 30
  • (D) 60

Correct Answer: C
Explanation:

N/2 = 60/2 = 30.

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Question (10)
QN0037080
The empirical relation among mean, median and mode is:
  • (A) Mode = 3 Median − 2 Mean
  • (B) Mode = 3 Mean − 2 Median
  • (C) Mode = 2 Mean − 3 Median
  • (D) Mode = Mean + Median

Correct Answer: A
Explanation:

The empirical relation is Mode = 3 Median − 2 Mean.

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