Statistics Class 11 Chapter 1 - Introduction to Statistics - Solved MCQs for All Exam Boards

"THE HOLY QURAN AND STATISTICS"
Surah Al-Jinn (72:28):
وَأَحْصَىٰ كُلَّ شَيْءٍ عَدَدًا

"And He has enumerated everything in numbers." (Allah perfectly counts and knows the exact measure of all creations).

(F.Sc. Part – I, Chapter 1: Introduction to Statistics)

1. Statistics is a:

A. Trick

B. Science  ✓ Correct Answer

C. Game

D. Art

Explanation: Statistics is a branch of science dealing with the collection, analysis, and interpretation of data.

2. Statistics are:

A. Numerical facts  ✓ Correct Answer

B. Scientific methods

C. Sample characteristic

D. None

Explanation: In the plural sense, 'statistics' refers to numerical facts systematically collected.

3. Statistics are the:

A. Eyes of administration  ✓ Correct Answer

B. Hands of administration

C. Feet of administration

D. Head of administration

Explanation: Statistics are traditionally described as the 'eyes of administration' since they help decision-makers see and understand facts clearly.

4. Statistical laws are true:

A. on the average

B. always

C. in the long run

D. a and c  ✓ Correct Answer

Explanation: Statistical laws hold true on the average and in the long run, not for every individual case.

5. A group of all members that a researcher would like to study is called:

A. sample

B. population  ✓ Correct Answer

C. subset

D. none

Explanation: The entire group a researcher wants to study and draw conclusions about is called the population.

6. The total group under discussion is called:

A. sample

B. population  ✓ Correct Answer

C. subset

D. none

Explanation: The complete group being studied or discussed is called the population.

7. A part of population used to draw inference about the population is called:

A. sample  ✓ Correct Answer

B. population

C. total group

D. none

Explanation: A smaller group selected from the population, used to draw conclusions about that population, is by definition a sample.

8. Representative part of population is called:

A. population

B. sample  ✓ Correct Answer

C. total group

D. all

Explanation: A representative subset drawn from the population is called a sample.

9. The purpose of the sample is to draw inference about:

A. sample

B. population  ✓ Correct Answer

C. individual

D. none

Explanation: Samples are collected specifically so conclusions can be drawn about the larger population.

10. Parameters are quantities which are:

A. fixed

B. variable

C. constant

D. a & c  ✓ Correct Answer

Explanation: A parameter is a fixed, constant value describing the population — it does not vary.

11. Statistic is a quantity computed from:

A. population

B. sample  ✓ Correct Answer

C. census

D. none

Explanation: A statistic is, by definition, a numerical value calculated from sample data.

12. Any characteristic of population is called:

A. parameter  ✓ Correct Answer

B. statistics

C. statistic

D. all

Explanation: A numerical characteristic describing the entire population is called a parameter.

13. A quantity computed from population is called:

A. statistic

B. statistics

C. parameter  ✓ Correct Answer

D. all

Explanation: A quantity calculated using the full population's data is called a parameter.

14. All samples from a population are:

A. identical

B. same

C. not identical  ✓ Correct Answer

D. all

Explanation: Different samples drawn from the same population will generally contain different values, so they are not identical to each other.

15. A quantity which varies from individual to individual is called:

A. variable  ✓ Correct Answer

B. constant

C. fix value

D. single value

Explanation: A quantity that takes different values across individuals is, by definition, a variable.

16. A variable which is capable of assuming a numerical value is:

A. qualitative

B. quantitative  ✓ Correct Answer

C. constant

D. single value

Explanation: A variable measured in numbers (like age, height, weight) is called a quantitative variable.

17. A discrete variable is also called:

A. continuous variable

B. discontinuous variable  ✓ Correct Answer

C. attribute

D. categorical

Explanation: Since a discrete variable takes only separate, distinct values (with gaps between them), it is also called a discontinuous variable.

18. A qualitative variable is also called:

A. continuous variable

B. attribute  ✓ Correct Answer

C. a & b

D. none

Explanation: A qualitative (non-numerical) characteristic, like color or gender, is also called an attribute.

19. The continuous variable is obtained by:

A. weighing

B. measuring

C. a & b  ✓ Correct Answer

D. counting

Explanation: Continuous variables (like height or weight) are obtained through both weighing and measuring, not counting.

20. A measurable quantity is:

A. Continuous  ✓ Correct Answer

B. discrete

C. qualitative

D. none

Explanation: A quantity that is measured (rather than counted) on a continuous scale is a continuous variable.

21. Number of flowers on a tree is a:

A. discrete variable  ✓ Correct Answer

B. continuous variable

C. qualitative variable

D. all

Explanation: Since the number of flowers is counted in whole numbers, it is a discrete variable.

22. Height of plants is:

A. quantitative

B. continuous

C. a & b  ✓ Correct Answer

D. discrete

Explanation: Height is measured on a continuous numerical scale, so it is both quantitative and continuous.

23. Weights of grains is:

A. quantitative

B. continuous

C. a & b  ✓ Correct Answer

D. discrete

Explanation: Weight is measured on a continuous numerical scale, so it is both quantitative and continuous.

24. Number of students in a class is:

A. quantitative

B. discrete

C. a & b  ✓ Correct Answer

D. continuous

Explanation: The number of students is counted in whole numbers, so it is both quantitative and discrete.

25. Atmospheric pressure is:

A. quantitative

B. continuous

C. a & b  ✓ Correct Answer

D. discrete

Explanation: Atmospheric pressure is measured on a continuous scale, so it is both quantitative and continuous.

26. Number of plants per plot is:

A. quantitative

B. discrete

C. a & b  ✓ Correct Answer

D. continuous

Explanation: The number of plants is counted in whole numbers, so it is both quantitative and discrete.

27. Number of insects in a unit area is:

A. quantitative

B. discrete

C. a & b  ✓ Correct Answer

D. continuous

Explanation: The number of insects is counted in whole numbers, so it is both quantitative and discrete.

28. A qualitative variable is also called:

A. Categorical

B. attribute

C. a & b  ✓ Correct Answer

D. none

Explanation: A qualitative variable is described as both categorical and an attribute.

29. Sex of a person is:

A. Categorical

B. attribute

C. a & b  ✓ Correct Answer

D. none

Explanation: Sex (male/female) is a qualitative characteristic, making it both categorical and an attribute.

30. Level of satisfaction is:

A. quantitative data

B. attribute

C. qualitative data  ✓ Correct Answer

D. constant

Explanation: Level of satisfaction (e.g. satisfied/neutral/unsatisfied) is a qualitative, categorical measure.

31. Smoking habits of residents of an area are:

A. qualitative data

B. attribute

C. quantitative data

D. a & b  ✓ Correct Answer

Explanation: Smoking habits describe a category (smoker/non-smoker), making them both qualitative data and an attribute.

32. When Statistics applied in Economics it is called:

A. Economy

B. Econometrics  ✓ Correct Answer

C. Econo

D. Econos

Explanation: The application of statistical methods to economic data and problems is called econometrics.

33. When Statistics applied in Biological science it is called:

A. Biology

B. Bio

C. Biometry  ✓ Correct Answer

D. Bios

Explanation: The application of statistical methods to biological data is called biometry (or biostatistics).

34. Mean of random error is:

A. zero  ✓ Correct Answer

B. negative

C. positive

D. all

Explanation: By assumption, random errors are equally likely to be positive or negative, so their mean is zero.

35. A technique in Statistics that helps in introducing new varieties is:

A. Design of experiment  ✓ Correct Answer

B. Descriptive Statistics

C. Inferential Statistics

D. none

Explanation: Design of experiment is the statistical technique used to test and compare new varieties/treatments under controlled conditions.

36. Its value cannot be exactly determined before hand:

A. random variable  ✓ Correct Answer

B. fixed variable

C. mathematical variable

D. explained variable

Explanation: A random variable's outcome depends on chance, so its exact value cannot be known in advance.

37. Its value can be determined before hand:

A. random variable

B. fixed variable  ✓ Correct Answer

C. mathematical variable

D. explained variable

Explanation: A fixed variable's value is predetermined and known in advance, unlike a random variable.

38. Organizing the data is a task of:

A. Descriptive statistics  ✓ Correct Answer

B. Inferential Statistics

C. a & b

D. Design of experiment

Explanation: Arranging and organizing raw data is part of descriptive statistics.

39. Summarizing the data is a task of:

A. Descriptive statistics  ✓ Correct Answer

B. Inferential Statistics

C. a & b

D. Design of experiment

Explanation: Summarizing data into meaningful measures is part of descriptive statistics.

40. Descriptive statistics provides procedure to:

A. summarize the data

B. Organize the data

C. present the data

D. all  ✓ Correct Answer

Explanation: Descriptive statistics covers organizing, summarizing, and presenting data — all of these together.

41. The procedure of inferring about the characteristic of the population from sample data is called:

A. Descriptive statistics

B. Inferential Statistics  ✓ Correct Answer

C. a & b

D. Design of experiment

Explanation: Drawing conclusions about a population based on sample data is the core purpose of inferential statistics.

42. Quantities which do not vary are called:

A. variables

B. statistic

C. constants  ✓ Correct Answer

D. all

Explanation: A quantity that stays the same and does not change is called a constant.

43. Its domain contains only one value:

A. constant  ✓ Correct Answer

B. variable

C. good

D. bad

Explanation: By definition, a constant can only take a single, fixed value.


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