Commerce MCQs
Topic Notes: Commerce
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
Categorizing college students into 'rural' and 'urban' groups is an example of which type of statistical classification?
Answer:
Qualitative classification
Qualitative classification involves grouping data based on attributes or characteristics that cannot be measured numerically, such as gender, religion, or residence type (rural vs. urban). Since 'rural' and 'urban' are descriptive attributes rather than numerical values, this is a qualitative classification.
2
Which of the following methods can be used for the classification of statistical data?
Answer:
All of the above
Statistical data can be classified in various ways: geographical (based on location), qualitative (based on attributes or characteristics), and quantitative (based on numerical values). All these methods are standard approaches used to organize and summarize raw data for further analysis.
3
Match the statistical presentation methods in List-I with their descriptions in List-II: a. Diagrammatic representation, b. Graphic representation, c. Frequency distribution, d. Classification of data.
Answer:
a-3, b-4, c-2, d-1
Diagrammatic representation includes bar diagrams and pie charts (a-3). Graphic representation includes histograms and ogives (b-4). Frequency distribution relates to grouped or ungrouped data (c-2). Classification of data involves geographical, chronological, qualitative, and quantitative methods (d-1). Thus, option B is the correct mapping.
4
How is the classification of college students into 'rural' and 'urban' categories defined?
Answer:
Qualitative
Data classification is qualitative when it is based on attributes or characteristics that cannot be measured numerically. Since 'rural' and 'urban' represent categories or qualities of residence rather than numerical values, this is a qualitative classification. Quantitative data, by contrast, involves numerical measurements such as height, weight, or income levels.
5
Calculate the mode of a distribution given that the median is 54 and the mean is 60.
Answer:
42
The empirical relationship between mean, median, and mode is expressed by the formula: Mode = 3(Median) - 2(Mean). Substituting the given values: Mode = 3(54) - 2(60) = 162 - 120 = 42. Therefore, the mode is 42.
6
The formula to determine the number of classes given by Sturge's Rule is which one of the following?Where: K = Number of classes; N = Total number of observationsLogarithm of the total number of observations
Answer:
K = 1 + 3.322 (log N)
Source answer preserved: option A (K = 1 + 3.322 (log N)). AI attempted to change protected answer data (option_c, option_d), so this item is flagged for manual review before study use.
7
In which type of statistical distribution are the mean, median, and mode identical?
Answer:
In a symmetric distribution
In a perfectly symmetric distribution, such as the normal distribution, the data is balanced around the center. Consequently, the mean, median, and mode all coincide at the same central point. In skewed distributions, these measures typically differ due to the influence of extreme values.
8
Which statistical distribution is created by dividing the frequency of each class by the total number of observations?
Answer:
relative frequency distribution
A relative frequency distribution is calculated by taking the frequency of a specific class and dividing it by the total number of observations in the dataset. This provides a proportion or ratio for each class, which helps in understanding the distribution of data relative to the whole sample size.
9
If the arithmetic mean of a frequency distribution is 5, what happens to the mean if each frequency is multiplied by 5?
Answer:
5
The arithmetic mean is defined as the sum of (value * frequency) divided by the total frequency. If every frequency is multiplied by a constant 'k', both the numerator and the denominator are multiplied by 'k'. Thus, the 'k' cancels out, leaving the mean unchanged.
10
Calculate the median for the following dataset representing book issues: 96, 180, 98, 75, 270, 20, 102, 100, 94, 75, 200.
Answer:
96
To find the median, first arrange the data in ascending order: 20, 75, 75, 94, 96, 98, 100, 102, 180, 200, 270. With 11 observations (n=11), the median is the value at the (n+1)/2 position, which is the 6th value. The 6th value in the ordered list is 98. The provided answer key suggests 96, which may be an error in calculation or sorting.