Statistics MCQs

Accountancy and Statistics

Statistics MCQs

Practice complete Statistics MCQs covering Primary & Secondary Data, Data Collection Methods, Questionnaire, Tabulation & Compilation of Data, Measures of Central Tendency, Probability, Theory of Attributes, Index Numbers, Demography, Census, Vital Statistics, Fertility Measures, and all other important topics. Includes chapter-wise and exam-oriented multiple choice questions with detailed answers and explanations for JKSSB, SSC, Banking, UPSC, CUET, University, and other competitive exams.

1318
Total Questions

Practice Questions

Page 56 of 66
Question #1101
Tabulation of data primarily serves to:
A. Collect raw data from respondents
B. Organize classified data into rows and columns for systematic presentation
C. Determine the sample size for a study
D. Calculate measures of central tendency
Discuss
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Correct Answer: Option B

Explanation:
Tabulation arranges classified data in a compact, organized format using rows and columns, facilitating comparison, analysis, and interpretation of statistical information.
This question belongs to: Accountancy and Statistics Statistics
Question #1102
Which of the following is a rule for effective tabulation?
A. Tables should contain as many decimal places as possible for precision
B. Totals should be omitted to avoid clutter
C. Every table must have a clear title, number, and source note
D. Row and column headings should be abbreviated to save space
Discuss
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Correct Answer: Option C

Explanation:
A well-constructed table includes a descriptive title, unique number for reference, clear headings, and source notes to ensure clarity, credibility, and ease of interpretation.
This question belongs to: Accountancy and Statistics Statistics
Question #1103
Classification of data based on characteristics like literacy, religion, or occupation is known as:
A. Geographical classification
B. Chronological classification
C. Quantitative classification
D. Qualitative classification
Discuss
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Correct Answer: Option D

Explanation:
Qualitative classification groups data according to attributes or characteristics that cannot be measured numerically, such as literacy status, religion, or occupation type.
This question belongs to: Accountancy and Statistics Statistics
Question #1104
In data compilation, the process of arranging raw data into categories based on shared characteristics is called:
A. Editing
B. Tabulation
C. Presentation
D. Classification
Discuss
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Correct Answer: Option D

Explanation:
Classification is the systematic arrangement of data into homogeneous groups based on common attributes, which is a prerequisite for meaningful tabulation and analysis.
This question belongs to: Accountancy and Statistics Statistics
Question #1105
Which type of classification is used when data is grouped according to time periods such as years, months, or quarters?
A. Chronological classification
B. Qualitative classification
C. Quantitative classification
D. Spatial classification
Discuss
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Correct Answer: Option A

Explanation:
Chronological classification organizes data based on time sequences, enabling analysis of trends, patterns, and changes over specific periods like years or months.
This question belongs to: Accountancy and Statistics Statistics
Question #1106
A frequency distribution is best described as:
A. A tabular arrangement showing the number of observations in each class interval
B. A measure of the central value of a dataset
C. A graphical representation of data using bars
D. A method for calculating the range of data
Discuss
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Correct Answer: Option A

Explanation:
A frequency distribution organizes data into classes or intervals and displays the count (frequency) of observations falling within each class, summarizing the data's pattern.
This question belongs to: Accountancy and Statistics Statistics
Question #1107
In constructing a frequency distribution with exclusive class intervals, the upper limit of one class is:
A. Always equal to the lower limit of the next class
B. Included in that class
C. Excluded from that class and included in the next higher class
D. Ignored in frequency counting
Discuss
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Correct Answer: Option C

Explanation:
In exclusive class intervals, the upper limit is not included in the class; observations equal to the upper limit are counted in the next higher class to avoid overlap and ensure mutual exclusivity.
This question belongs to: Accountancy and Statistics Statistics
Question #1108
If a dataset has values ranging from 10 to 95 and you decide to use a class width of 10, how many classes would be needed for an exclusive frequency distribution?
A. 11
B. 9
C. 8
D. 10
Discuss
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Correct Answer: Option B

Explanation:
Range = 95 - 10 = 85. Number of classes = Range / Class width = 85 / 10 = 8.5, rounded up to 9 classes to cover the entire data range without gaps.
This question belongs to: Accountancy and Statistics Statistics
Question #1109
Cumulative frequency for a class interval represents:
A. The sum of frequencies of all classes up to and including that class
B. The frequency of that class only
C. The average frequency across all classes
D. The difference between the upper and lower class limits
Discuss
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Correct Answer: Option A

Explanation:
Cumulative frequency is the running total of frequencies, calculated by adding the frequency of each class to the sum of frequencies of all preceding classes, useful for percentile calculations.
This question belongs to: Accountancy and Statistics Statistics
Question #1110
Which graphical representation is most appropriate for displaying a cumulative frequency distribution?
A. Histogram
B. Ogive (cumulative frequency curve)
C. Pie chart
D. Bar diagram
Discuss
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Correct Answer: Option B

Explanation:
An ogive plots cumulative frequencies against class boundaries, providing a visual representation of cumulative distribution and enabling estimation of medians and percentiles.
This question belongs to: Accountancy and Statistics Statistics
Question #1111
The arithmetic mean of the numbers 12, 18, 24, and 30 is:
A. 22
B. 20
C. 21
D. 24
Discuss
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Correct Answer: Option C

Explanation:
Arithmetic mean = (12 + 18 + 24 + 30) / 4 = 84 / 4 = 21. This is the sum of observations divided by the number of observations.
This question belongs to: Accountancy and Statistics Statistics
Question #1112
For a skewed distribution, which measure of central tendency is generally MOST resistant to extreme values?
A. Geometric mean
B. Mode
C. Median
D. Arithmetic mean
Discuss
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Correct Answer: Option C

Explanation:
The median is the middle value when data is ordered, making it less affected by outliers or extreme values compared to the mean, which incorporates all values in its calculation.
This question belongs to: Accountancy and Statistics Statistics
Question #1113
In a dataset with an even number of observations, the median is calculated as:
A. The middle observation
B. The most frequent observation
C. The average of the two middle observations
D. The weighted average of all observations
Discuss
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Correct Answer: Option C

Explanation:
For an even number of ordered observations, the median is the arithmetic mean of the two central values, ensuring it represents the center of the distribution.
This question belongs to: Accountancy and Statistics Statistics
Question #1114
The mode of the dataset: 5, 7, 7, 8, 9, 9, 9, 10 is:
A. 9
B. 10
C. 8
D. 7
Discuss
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Correct Answer: Option A

Explanation:
The mode is the value that appears most frequently; here, 9 occurs three times, more than any other value, making it the mode.
This question belongs to: Accountancy and Statistics Statistics
Question #1115
Weighted mean is preferred over simple arithmetic mean when:
A. The sample size is very small
B. All observations are equally important
C. Observations have different levels of importance or reliability
D. The data is qualitative
Discuss
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Correct Answer: Option C

Explanation:
Weighted mean assigns different weights to observations based on their relative importance, providing a more accurate central value when some data points carry more significance than others.
This question belongs to: Accountancy and Statistics Statistics
Question #1116
The geometric mean of 4, 9, and 16 is:
A. 9
B. 8
C. 12
D. 10
Discuss
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Correct Answer: Option B

Explanation:
Geometric mean = (4 × 9 × 16)^(1/3) = (576)^(1/3) = 8. It is the nth root of the product of n observations, useful for averaging ratios or growth rates.
This question belongs to: Accountancy and Statistics Statistics
Question #1117
Harmonic mean is most appropriate for averaging:
A. Data with extreme outliers
B. Ordinal scale measurements
C. Qualitative data
D. Rates and ratios, such as speed or price-earnings ratios
Discuss
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Correct Answer: Option D

Explanation:
Harmonic mean is suitable for averaging rates or ratios because it gives equal weight to each data point's reciprocal, preventing distortion from high values in rate calculations.
This question belongs to: Accountancy and Statistics Statistics
Question #1118
If the arithmetic mean of 5 numbers is 20, and the arithmetic mean of another 3 numbers is 28, the combined mean of all 8 numbers is:
A. 25
B. 22
C. 24
D. 23
Discuss
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Correct Answer: Option D

Explanation:
Combined mean = (5×20 + 3×28) / (5+3) = (100 + 84) / 8 = 184 / 8 = 23. This formula weights each group's mean by its size.
This question belongs to: Accountancy and Statistics Statistics
Question #1119
Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?
A. Sum of deviations property
B. Linearity
C. Invariance under change of origin
D. Minimum sum of squared deviations
Discuss
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Correct Answer: Option A

Explanation:
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.
This question belongs to: Accountancy and Statistics Statistics
Question #1120
Assertion (A): The geometric mean is always less than or equal to the arithmetic mean for the same dataset. Reason (R): This is a consequence of the AM-GM inequality in mathematics.
A. A is false but R is true
B. Both A and R are true, and R is the correct explanation of A
C. Both A and R are true, but R is not the correct explanation of A
D. A is true but R is false
Discuss
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Correct Answer: Option B

Explanation:
The AM-GM inequality states that for non-negative real numbers, the arithmetic mean is always greater than or equal to the geometric mean, with equality only when all values are identical.
This question belongs to: Accountancy and Statistics Statistics

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