**Question. Standard deviation is the square root of the arithmetic average of the squares of the deviations measured from the_______**

(a) Mean

(b) Mode

(c) Median

(d) All of the above

## Answer

A

**Question. Quartile deviation ignores ____ of the data**

(a) 75%

(b) 60%

(c) 55%

(d) 50%

## Answer

D

**Question. Which one of the following is a positional average?**

(a) Geometric mean

(b) Harmonic mean

(c) Median

(d) None of the above

## Answer

C

**Question. The suitable average for qualitative data is:**

(a) Mean

(b) Median

(c) Mode

(d) Geometric mean

## Answer

B

**Question. Suitable average for averaging the shoe sizes for children is:**

(a) Mean

(b) Mode

(c) Median

(d) Geometric mean

## Answer

B

**Question. Choose the correct answer**

(a) HM≥GM≥AM

(b) HM≤GM≤AM

(c) GM>HM>AM

(d) None of the above

## Answer

B

**Question. Choose correct combination from Group A and B**

(a) (1) and (i), (2) and (ii), (3) and (iii)

(b) (1) and (ii), (2) and (iii), (3) and (i)

(c) (1) and (i), (2) and (iii), (3) and (ii)

(d) None of the above

## Answer

B

**Question. Which of the following is not a pre-requisite for a good measure of central tendency?**

(a) It should not be rigidly defined

(b) It should be based on all observations

(c) It should not be affected by fluctuation of sampling

(d) None of the above

## Answer

A

**Question. Which one of the following is a pre-requisite for a good measure of dispersion?**

(a) It should be affected by fluctuation of sampling

(b) It should be easy to calculate

(c) It should not be based on all observations

(d) All of the above

## Answer

B

**Question. If Arithmetic mean = 20 and Median = 25. Then, the value of Mode is equal to__**

(a) 22.5

(b) 20.5

(c) 30.0

(d) None of the above

## Answer

D

**Question. The averages are affected by change of:**

(a) Origin

(b) Scale

(c) Both (a) and (b)

(d) None of the above

## Answer

C

**Question. In a given data the average which has the least value is**

(a) Mean

(b) Median

(c) Harmonic mean

(d) Geometric mean

## Answer

C

**Question. The standard deviation of binomial distribution is express as**

(a) npq

(b) √np

(c) √npq

(d) Pq

## Answer

C

**Question. Variance of binomial distribution is maximum when**

(a) p < q

(b) p = q

(c) p > q

(d) none of the above

## Answer

B

**Question. Which of the following is a continuous distribution**

(a) Poisson distribution

(b) Binomial distribution

(c) Normal distribution

(d) All of the above

## Answer

C

**Question. Normal distribution is also known as**

(a) Bernoulli distribution

(b) Gaussian distribution

(c) Laplacian distribution

(d) Cauchy’s distribution

## Answer

B

**Question. The value of probability lies between**

(a) 0 and ∞

(b) -1 and +1

(c) 0 and 1

(d) 1 and 100

## Answer

C

**Question. _________ is calculated on the basis of past experience and on experiment conducted.**

(a) Classical probability

(b) Empirical probability

(c) Modern approach to probability

(d) None of the above

## Answer

B

**Question. Permutation refers to**

(a) Arrangements

(b) Groups

(c) Outcomes

(d) Events

## Answer

A

**Question. The area under a standard normal curve is**

(a) 0

(b) ∞

(c) 1

(d) Not defined

## Answer

C

**Question. The standard normal curve is symmetric about the value**

(a) 0

(b) ∞

(c) 1

(d) 1.5

## Answer

A

**Question. If it is known that an event A has occurred, the probability of an event B given A is called**

(a) Classical probability

(b) Statistical probability

(c) Posteriori probability

(d) Conditional probability

## Answer

D

**Question. The outcome of tossing a coin is a**

(a) Simple event

(b) Mutually exclusive event

(c) Compound event

(d) Complementary event

## Answer

A

**Question. What is the probability of getting exactly one head in a single throw of two unbiased coins?**

(a) 1/2

(a) 1/4

(b) 3/4

(c) 1

## Answer

A

**Question. In a discrete probability distribution, the random variables are**

(a) Natural numbers

(b) Whole numbers

(c) Imaginary numbers

(d) Rational numbers

## Answer

B

**Question. The most commonly occurring value in a group of distribution is known as**

(a) Median

(b) Mode

(c) Mean

(d) None of the above

## Answer

B

**Question. Which one of the following is not a mathematical average?**

(a) Geometric mean

(b) Harmonic mean

(c) Arithmetic mean

(d) Median

## Answer

D

**Question. Which of the following is/are a mathematical averages?**

(a) Geometric mean

(b) Harmonic mean

(c) Arithmetic mean

(d) All of the above

## Answer

D

**Question. Demerit of arithmetic mean is that**

(a) It is not based on all observations

(b) It is not amendable to algebraic treatment

(c) It is not rigidly defined

(d) It is affected very much by extreme values

## Answer

D

**Question. Which of the following is not a measure of dispersion?**

(a) Range

(b) Inter Quartile Range

(c) Mean Deviation

(d) None of the above

## Answer

D

**Question. 50% of the values in a distribution are**

(a) Above the median value

(b) Below the mode value

(c) Above mean value

(d) Below mean value

## Answer

A

**Question. If any of the observations is zero, then the Geometric mean is equal to**

(a) Mean

(b) Median

(c) Mode

(d) Zero

## Answer

D

**Question. Co-efficient of Range or Ratio of the range is_______ (where L and S stands for the largest and smallest observation respectively)**

(a) (L-S)/(L+S)

(b) (L+S)/(L-S)

(c) (2L-S)/(2L+S)

(d) None of the above

## Answer

A

**Question. Choose correct combination from Group A and B**

(a) (1) and (i), (2) and (ii), (3) and (iii)

(b) (1) and (ii), (2) and (iii), (3) and (i)

(c) (1) and (i), (2) and (iii), (3) and (ii)

(d) None of the above

## Answer

C

**Question. The graph of a cumulative frequency distribution is called**

(a) Frequency polygon

(b) Histogram

(c) Cumulative frequency polygon

(d) Ogive

## Answer

D

**Question. In constructing a histogram, if the class interval size of one class is double than others, then the width of that bar should be?**

(a) Doubled

(b) Half

(c) One

(d) Quarter

## Answer

A

**Question. Statistics branches include**

(a) Applied statistics

(b) Mathematical statistics

(c) Industry statistics

(d) Both A & B

## Answer

D

**Question. When each member of a population has an equally likely chance of being selected**

(a) Non-random sampling method

(b) Quota sample

(c) Snowball sample

(d) An equal probability selection method

## Answer

D

**Question. Cumulative Frequency is _____________frequency.**

(a) Increasing

(b) Decreasing

(c) Fixed

(d) None of these

## Answer

A

**Question. Total angles in Pie Chart**

(a) 360

(b) 90

(c) 180

(d) 45

## Answer

A

**Question. While constructing frequency distribution, the number of classes used depends upon**

(a) Number of observation

(b) Size of class

(c) Range of data

(d) None of these

## Answer

B

**Question. Component bar charts are used when data is divided into**

(a) Parts

(b) Groups

(c) Circles

(d) None of these

## Answer

B

**Question. The graph of the normal distribution depends on:**

(a) Mean and standard deviation

(b) Harmonic and standard deviation

(c) Harmonic mean

(d) Standard deviation

## Answer

A

**Question. ____________use the division of a circle into different sectors.**

(a) Conversion graphs

(b) Frequency polygon

(c) Sector graph

(d) Line graph

## Answer

C

**Question. In pie- chart, the arrangement of the angles of the different sectors is generally?**

(a) Anti-clockwise

(b) Arrayed

(c) Clock-wise

(d) Alternative

## Answer

C

**Question. A graph consists of _______ lines.**

(a) Parallel line

(b) Smooth curve

(c) Curve

(d) Straight

## Answer

D

**Question. The Normal distribution is ___________________?**

(a) Platykurtic

(b) Mesoukurtic

(c) Leptokurtic

(d) None of these

## Answer

B

**Question. Class mark is the value which divides a class into______ equal parts?**

(a) Four

(b) One

(c) Three

(d) Two

## Answer

D

**Question. A frequency touches the axis**

(a) Yes

(b) No

(c) Sometimes

(d) None of these

## Answer

A

**Question. Dividing upper and lower limits of a particular class we get:**

(a) Class interval

(b) Class frequency

(c) Class boundary

(d) Class mark

## Answer

D

**Question. Graph of time series is called**

(a) Polygon

(b) Histogram

(c) Ogive

(d) Historigram

## Answer

D

**Question. The variables whose calculation is done according to the height, length, and weight are categorized as**

(a) Discrete variables

(b) Flowchart variables

(c) Measuring variables

(d) Continuous variables

## Answer

A

**Question. Which of the following is not a form of non-random sampling?**

(a) Snowball sampling

(b) Quota sampling

(c) Purposive sampling

(d) All of the above

## Answer

D

**Question. Which of the following will give a more accurate representation of the population from which a sample has been taken?**

(a) A large sample based on the convenience sampling technique

(b) A small sample based on simple random sampling

(c) A small cluster sample

(d) A large sample based on simple random sampling

## Answer

D

**Question. The mean of a sample is**

(a) Always equal to the mean of the population

(b) Always smaller than the mean of the population

(c) Computed by summing the data values and dividing the sum by (n-1)

(d) Computed by summing all the data values and dividing the sum by the number of items

## Answer

D

**Question. A Histogram is a set of adjacent**

(a) Rectangles

(b) Triangles

(c) Squares

(d) Lines

## Answer

A

**Question. Which one of the following statement is/are true for the standard deviation?**

1) It is independent on change of scale

2) It is independent on change of origin

3) It is the minimum root-mean-square deviation

(a) (1) only

(b) (1) and (2) only

(c) (2) and (3) only

(d) All of them

## Answer

C

**Question. The algebraic sum of the deviations of a set of values from their arithmetic mean is______**

(a) Always one

(b) Always positive

(c) Always zero

(d) Always negative

## Answer

C

**Question. Choose correct combination from Group A and B**

(a) (1) and (i), (2) and (ii), (3) and (iii)

(b) (1) and (ii), (2) and (i), (3) and (iii)

(c) (1) and (ii), (2) and (iii), (3) and (i)

(d) None of the above

## Answer

C

**Question. A measure of dispersion gives some idea about ______**

(a) The size of average mean

(b) The size of the median

(c) The size of the modal class

(d) None of the above

## Answer

D

**FILL IN THE BLANKS**

**Question. If Mean = 147.2, Mode = 146.69 and standard deviation = 7.21 for a particular distribution. The Karl Pearsons’ coefficient of Skewness is equal to____**

## Answer

0.07

**Question. In a moderately skewed distribution, Arithmetic mean = 24.6 and Mode = 26.1. Then, the value of median is equal to_____**

## Answer

25.1

**Question. Median of the observations 82, 98, 73, 71, 43, 82 and 90 is equal to_______**

## Answer

82

**Question. Variance of the values 15, 25, 5, 10 and 30 is equal to_______**

## Answer

86

**Question. If Q _{1}= 2 and Q_{3} = 6, the Co-efficient of Quartile Deviation is _______**

## Answer

0.50

**Question. The standard deviation of the distribution**

**is equal to______**

## Answer

2

**Question. Given the data**

**Then, the combined standard deviation is equal to___**

## Answer

11.5

**Question. Addition theorem will be applicable only when the various events belong to the _____**.

## Answer

same sample space

**Question. A continuous variable can take any value within its _____**

## Answer

domain

**Question. The probability based on the concept of relative frequency is called _____ probability**

## Answer

empirical

**Question. P (A U B) can be express by the ______ law of probability.**

## Answer

additive

**Question. If two events are independent, the probability that both will occur together is equal to the ____ of their individual probabilities.**

## Answer

product

**Question. Normal distribution is a limiting case of Poisson distribution when its mean ‘m’ is ___**

## Answer

large

**Question. Poisson distribution is applied in a situation where the probability of success is very small and that of failure is very ___ .**

## Answer

high

**Question. Two events are mutually exclusive if P(AUB) = ____.**

## Answer

P(A) + P(B)

**Question. If the mean marks of one class of 50 students is 30 and of another class of 100 students is 40. Then, mean of all the 150 students is equal to______**

## Answer

36.7

**Question. The lower class boundary of 25 -35 will be______.**

## Answer

25

**Question. Statistics laws are true for _______run.**

## Answer

Long

**Question. Total area under the normal curve is ____________.**

## Answer

1

**Question. A time series is an arrangement of data according to __________.**

## Answer

Time

**Question. Any data collected by the investigator personally from the informants are called ______ data.**

## Answer

Primary

**Question. _____is a presentation of information using lines on two or three axes such as x, y nd z.**

## Answer

Graph

**Question. Proportion becomes percentage when multiplied by___________.**

## Answer

100

**Question. A circle in which sectors represents various quantities is called ____________.**

## Answer

Pie-chart

**Question. _______is a form of diagrammatic presentation of data by joining mid-points of the tops of all rectangles in a histogram.**

## Answer

Polygon

**Question. ________ is a set of elements taken from a larger population according to certain rules.**

## Answer

Sample

**Question. _______ is the difference between two class limit.**

## Answer

Class interval

**Question. Data which have not been arranged in systematic order is called _______data.**

## Answer

Raw

**Question. ______ is defined as the ratio of the number of favorable cases to the total number of equally likely cases.**

## Answer

Classical probability

**Question. A discrete variable can take a ___ number of values within its range.**

## Answer

finite