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All questions of Statistics for Economics for Commerce Exam

Identify the correct statement.
  • a)
    Statistics finds economic relationships using data and verifies them.
  • b)
    Statistics provides tools which are used to predict future value.
  • c)
    Statistical methods help in analysing economic problems.
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Kiran Mehta answered
Correct Answer :- d
Explanation : All the statements are correct.
Statistics in economics deals with numbers and is quantitative. Qualitative adjectives like rich, poor, tall etc. have no attached significance in the statistical universe.
Statistics provides tools which are used to predict future value
Statistics only deals with quantitative data it does not deal well with qualitative data beauty, honesty, goodwill etc can’t be measured.
Statistics is an indispensable tool for studying and understanding the economic problems of a country.It helps in analysing economic problems such as production, consumption, pricing, income distribution, population, unemployment and poverty.

Primary data is gathered through
  • a)
    original source of information.
  • b)
    information on website.
  • c)
    second hand information.
  • d)
    annual company reports.
Correct answer is option 'A'. Can you explain this answer?

A primary data source is an original data source, that is, one in which the data are collected firsthand by the researcher for a specific research purpose or project. Primary data collection is quite expensive and time consuming compared to secondary 

Value that divides the series into hundred equal parts is called
  • a)
    percentile.
  • b)
    quartiles.
  • c)
    deciles.
  • d)
    octiles.
Correct answer is option 'A'. Can you explain this answer?

Kiran Mehta answered
Values that divide the series into hundred equal parts are called percentiles. In percentile, we get 99 dividing positions denoted by P1, P2,……..,P99.

Orderly arrangement of data according to magnitude is called
  • a)
    raw series.
  • b)
    individual series.
  • c)
    original series.
  • d)
    listed series.
Correct answer is option 'B'. Can you explain this answer?

When the raw data is presented individually in the form of a series, it is called an individual series.
In simple words, individual series is the arrangement of raw data individually. It gives numeric values for a specific situation.
In an individual series items are shown separately. So organisation on the basis of magnitude is individual series.

The process of buying goods by consumers to satisfy their various needs is
  • a)
    satisfaction
  • b)
    utility
  • c)
    consumption
  • d)
    production
Correct answer is option 'C'. Can you explain this answer?

Vikas Kapoor answered
  • Consumption, defined as spending for acquisition of utility, is a major concept in economics and is also studied in many other social sciences.
  • It is seen in contrast to investing, which is spending for acquisition of future income.
  • Consumption, in economics, the use of goods and services by households.
  • Consumption is distinct from consumption expenditure, which is the purchase of goods and services for use by households.

After collection of data, the next step is
  • a)
    presentation of data.
  • b)
    classification of data.
  • c)
    selection of data.
  • d)
    categorising of data.
Correct answer is option 'B'. Can you explain this answer?

Naina Sharma answered
Classification is the process of arranging data into different groups or classes.
► Classification of data is done after collection of data.

Data collected from the original source of information is called
  • a)
    primary data.
  • b)
    secondary data.
  • c)
    published data.
  • d)
    used data.
Correct answer is option 'A'. Can you explain this answer?

Arun Yadav answered
These are collected from the very source of information. They are collected for the first time from the original source of information.

Which of the following is not a measure of central tendency?
  • a)
    Mean
  • b)
    Median
  • c)
    Standard deviation
  • d)
    Mode
Correct answer is option 'C'. Can you explain this answer?

Om Desai answered
► Standard deviation is the measure of how spread out the numbers of a data are.
► Mean is the average.
► Median is the middle number, when data is arranged in numerical order.
► Mode is the data item the appears most frequently.
Mean, median and mode are all measures of central tendencies.

Persons doing a particular job are called
  • a)
    producers.
  • b)
    businessmen.
  • c)
    service holders.
  • d)
    employers.
Correct answer is option 'C'. Can you explain this answer?

Vikas Kapoor answered
In a job, we work for some other person and are paid for our services. Thus, persons engaged in a particular job are called service holders.

On the basis of presence and absence of an attribute, data are classified into
  • a)
    one fold classification.
  • b)
    two fold classification.
  • c)
    three fold classification.
  • d)
    four fold classification.
Correct answer is option 'B'. Can you explain this answer?

Sunil Chahar answered
When on the basis  presence and absence of an attribute, the data are classified into two classes, one possessing that attribute and the other not possessing that attribute, it is called two-fold classification.

Match the column I and II and choose the correct pair of statements:
  • a)
    (iv)-(a), (i)-(b), (iii)-(c) and (ii)-(d)
  • b)
    (iv)-(a), (i)-(b), (ii)-(c) and (iii)-(d)
  • c)
    (iv)-(a), (iii)-(b), (ii)-(c) and (i)-(d)
  • d)
    (iv)-(a), (ii)-(b), (iii)-(c) and (i)-(d)
Correct answer is option 'C'. Can you explain this answer?

Sai Kulkarni answered
A farmer is a person engaged in agriculture, raising living organisms for food or raw materials.So he is a producer .
A shopkeeper is an individual who owns or runs a shop.A shopkeeper sells some items. So he is a seller.
A service holder is a person who takes service or  that he is working under someone. This means employee and the service provider is the person who gives job(employer). So service holder is employee.
A service provider is a company that provides organizations with consulting, legal, real estate, education, communications, storage, processing, transport, and many other services. So the service provider is the cab driver.

More than one attribute are present simultaneously in case of
  • a)
    qualitative classification.
  • b)
    quantitative classification.
  • c)
    manifold classification.
  • d)
    chronological classification.
Correct answer is option 'C'. Can you explain this answer?

Vikas Kapoor answered
In manifold classification, two or more attributes are considered simultaneously. When more attributes are involved, the data would be classified into several classes and subclasses depending on the number of attributes.
For example, the population in a country can be classified in terms of gender as male and female.
The correct option is Option C

Classification of data is the grouping of raw data under different
  • a)
    headings
  • b)
    rows
  • c)
    columns
  • d)
    tables
Correct answer is option 'A'. Can you explain this answer?

Vikas Kapoor answered
Classification is concerned with the division of the data into various groups and sub groups.
► Data is classified into groups of different headings.

The quantitative character of an item is shown by
  • a)
    attributes.
  • b)
    variables.
  • c)
    figures.
  • d)
    tables.
Correct answer is option 'B'. Can you explain this answer?

Poonam Reddy answered
Heights and weights of individuals are variables as they can be measured in numerical terms. Thus, variables are used when changing characterstics are numerically measured.

The mathematical average is also called
  • a)
    median.
  • b)
    mode.
  • c)
    mean.
  • d)
    quartile.
Correct answer is option 'C'. Can you explain this answer?

Tejas Verma answered
► Mean is a mathematical average.
The arithmetic mean or mean is defined as the sum of values of a group of items divided by the number of items. It is denoted by mean.

Each given interval is called a
  • a)
    frequency.
  • b)
    series.
  • c)
    class.
  • d)
    distribution.
Correct answer is option 'C'. Can you explain this answer?

Poonam Reddy answered
Difference between upper and lower class limit is called class interval.
For example, 0-10, 10-20, 20-30 etc.

The subject that helps in analysing economic problems and formulating policies to solve them is
  • a)
    Physics.
  • b)
    Chemistry
  • c)
    Mathematics.
  • d)
    Statistics.
Correct answer is option 'D'. Can you explain this answer?

Sanjeev Kumar answered
Statistics helps in analysing economic problems and formulating policies to solve them. Statistics is the study of aggregate of facts numerically expressed.

The sign of the correlation is determined by the
  • a)
    standard deviation.
  • b)
    covariance between X and Y.
  • c)
    X variable.
  • d)
    Y variable.
Correct answer is option 'B'. Can you explain this answer?

Kalyan Desai answered
The sign of covariance between X and Y determines the sign of the correlation coefficient. The value of r does not contain any unit.

Which of the following is correct regarding Statistics?
  • a)
    Aggregate of facts
  • b)
    Numerically expressed
  • c)
    Affected by multiplicity of causes
  • d)
    All of these
Correct answer is option 'D'. Can you explain this answer?

Bhargavi Roy answered
The correct answer is option 'D': All of these.

Statistics is a branch of mathematics that deals with the collection, organization, analysis, interpretation, and presentation of data. It involves the use of quantitative methods to gather information, make inferences, and draw conclusions about a population based on a sample.

Aggregate of facts:
Statistics involves the collection of data, which can be considered as an aggregate of facts. These facts can be collected through various methods such as surveys, experiments, observations, or existing records. The collected data is then organized and analyzed to extract meaningful information and draw conclusions.

Numerically expressed:
Statistics uses numerical methods to express and represent data. Data can be presented in the form of numbers, percentages, ratios, graphs, charts, or tables. Numerical representations help to quantify and measure various characteristics, trends, and patterns in the data.

Affected by multiplicity of causes:
Statistics recognizes that multiple factors or causes can influence the phenomena being studied. It takes into account the complex nature of real-world situations where multiple variables interact and affect the outcomes. Statistical analysis allows for the identification and understanding of the relationships and interactions between these factors.

Explanation:
Option 'D' is correct because it encompasses all the key aspects of statistics. Statistics deals with the collection and analysis of data, which can be considered as an aggregate of facts. It uses numerical methods to express and represent data, allowing for quantitative analysis. Additionally, statistics recognizes that phenomena are influenced by a multiplicity of causes, taking into account the complexity of real-world situations.

Statistics is a vital tool in various fields such as business, economics, medicine, social sciences, and many others. It helps in making informed decisions, identifying trends and patterns, testing hypotheses, and predicting future outcomes. The use of statistical techniques enables researchers, analysts, and decision-makers to understand and interpret data, draw valid conclusions, and communicate their findings effectively.

In conclusion, statistics plays a crucial role in understanding and interpreting data. It involves the collection, organization, analysis, and presentation of data using numerical methods. It recognizes the complexity of real-world situations and considers the multiplicity of causes that can influence the phenomena being studied. Therefore, the correct answer is option 'D': All of these.

With regards to distrust of Statistics which of the following statements is not correct?
  • a)
    Statistics is a rainbow of lies
  • b)
    Statistics are tissues of falsehood
  • c)
    Statistics express the facts in numbers
  • d)
    There are three kinds of lies-lies, damned lies and statistics
Correct answer is option 'C'. Can you explain this answer?

Nipun Tuteja answered
To understand distrust in statistics, consider:
  • A, B, D: These statements reflect skepticism and distrust towards how statistics can be manipulated or misrepresented, often seen in phrases like "lies, damned lies, and statistics."
  • C: This is the correct statement, as it describes the objective nature of statistics—expressing facts in numerical form. It does not imply deception or manipulation.
Therefore, statement C is not associated with distrust of statistics.

The statistics is concerned with:
  • a)
    Aggregate of organised facts
  • b)
    Aggregate of disorganised facts
  • c)
    Aggregate of useless facts
  • d)
    Aggregate of unrelated facts
Correct answer is option 'A'. Can you explain this answer?

Nipun Tuteja answered
Statistics is fundamentally concerned with:
  • Aggregate of organised facts: Statistics involves the collection, analysis, interpretation, presentation, and organization of data. To derive meaningful insights, data must be systematically collected and organized.
  • Organized facts allow for patterns and trends to be identified, enabling informed decision-making.
  • Disorganized, useless, or unrelated facts do not provide reliable information for statistical analysis.
Thus, the correct answer is option A: Aggregate of organised facts.

A self-addressed and stamped envelope should be enclosed with a questionnaire is called
  • a)
    offer letter
  • b)
    appointment letter
  • c)
    covering letter
  • d)
    resignation letter
Correct answer is option 'C'. Can you explain this answer?

A cover letter accompanies or transmits another document such as a survey questionnaire. Its purpose is to alert the respondent about the questionnaire it accompanies and to provide the details of requested actions on the part of the respondent. A cover letter is a living document that often accompanies a resume.

Statistical data can be presented in
  • a)
    one form.
  • b)
    two forms.
  • c)
    three forms.
  • d)
    four forms.
Correct answer is option 'C'. Can you explain this answer?

Statistical data can be presented in three forms namely, tabular presentation, diagrammatic presentation and graphic presentation.

Arrangement of data into different groups is known as
  • a)
    collection of data
  • b)
    presentation of data.
  • c)
    pictograph
  • d)
    classification
Correct answer is option 'D'. Can you explain this answer?

Om Desai answered
Classification is the process of arranging things (either actually or notionally) in the groups according to their resemblances and affinities and gives expression to the unity of attributes that may subsist amongst a diversity of individuals.

Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If x/y = 55/42, then what is the value of n ?
  • a)
    24
  • b)
    25
  • c)
    27
  • d)
    30
Correct answer is option 'C'. Can you explain this answer?

Tejas Desai answered
Given:
Let x be the mean of squares of the first n natural numbers.
Let y be the square of the mean of the first n natural numbers.
It is given that x/y = 55/42.

To Find:
The value of n.

Explanation:
Let's start by finding the values of x and y.

Finding the value of x:
The squares of the first n natural numbers are 1^2, 2^2, 3^2, ..., n^2.
The sum of these squares can be expressed as:
x = 1^2 + 2^2 + 3^2 + ... + n^2

Using the formula for the sum of squares, we can rewrite this as:
x = n(n + 1)(2n + 1)/6

Finding the value of y:
The mean of the first n natural numbers is the sum of the numbers divided by n.
The sum of the first n natural numbers can be expressed as:
sum = 1 + 2 + 3 + ... + n

Using the formula for the sum of an arithmetic series, we can rewrite this as:
sum = n(n + 1)/2

The mean is sum/n, so we can write the mean as:
mean = n(n + 1)/2n = (n + 1)/2

The square of the mean is:
y = (mean)^2 = [(n + 1)/2]^2 = (n + 1)^2/4

Calculating x/y:
Now, we can calculate x/y using the values we found for x and y:
x/y = (n(n + 1)(2n + 1)/6) / ((n + 1)^2/4)
Simplifying this expression:
x/y = (4n(n + 1)(2n + 1)) / (6(n + 1)^2)
x/y = (4n(2n + 1)) / (6(n + 1))
x/y = (2n(2n + 1)) / (3(n + 1))

Given that x/y = 55/42, we can set up the equation:
(2n(2n + 1)) / (3(n + 1)) = 55/42

Solving the equation:
Cross multiplying:
42 * 2n(2n + 1) = 55 * 3(n + 1)
84n(2n + 1) = 165(n + 1)
168n^2 + 84n = 165n + 165
168n^2 - 81n - 165 = 0

Factoring the quadratic equation:
(8n - 11)(21n + 15) = 0

Setting each factor to zero and solving for n:
8n - 11 = 0 or 21n + 15 = 0
8n = 11 or 21n = -15
n = 11/8 or n = -15/21

Since n represents the number of natural numbers, it cannot be negative. Therefore, n = 11/8 is not a valid solution.

Conclusion:
The valid solution for n

Find the value ‘p + q’, if mean of set of numbers 3, 6, 7, 14, p, 34, 26, q, 12 is given as 22.
  • a)
    96
  • b)
    88
  • c)
    76
  • d)
    75
Correct answer is option 'A'. Can you explain this answer?

Rohini Desai answered
Concept:
The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. It is denoted by the symbol, read as ‘x bar’.
Calculation:
Given data 3, 6, 7, 14, p, 34, 26, q and 12.
Mean 


∴ p + q = 96

The value of sensex is with reference to the year
  • a)
    1978-79.
  • b)
    1979-80.
  • c)
    1980-81
  • d)
    1981-82
Correct answer is option 'A'. Can you explain this answer?

Gaurav Kumar answered
SENSEX is the short form of Bombay Stock Exchange Sensitive Index with 1978-79 base. It consists of 13 stocks which represent 13 sectors of the economy.

Value of r lying outside the range of -1 and +1, indicates
  • a)
    zero correlation.
  • b)
    strong correlation.
  • c)
    error in calculation.
  • d)
    weak correlation.
Correct answer is option 'C'. Can you explain this answer?

Om Desai answered
The value of correlation coefficient lies between minus one and plus one. If in any exercise, the value of r is outside this particular range, it definitely indicates an error in calculation.

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