260+ Quantitative Techniques Solved MCQs

101.

While computing F ratio, customarily, the larger variance is taken as .....................

A. Denominator
B. Numerator
C. Either way
D. None of these
Answer» B. Numerator
102.

Chi-square test was first used by ...............................

A. R A Fisher
B. William Gosset
C. James Bernoulli
D. Karl Pearson
Answer» D. Karl Pearson
103.

The Chi-squre quantity ranges from ........................ to ...........................

A. – 1 to + 1
B. – ∞ to ∞
C. 0 to ∞
D. 0 to 1
Answer» C. 0 to ∞
104.

Degrees of freedom for Chi-squre test in case of contingency table of order (2x2) is:

A. 4
B. 3
C. 2
D. 1
Answer» D. 1
105.

Degrees of freedom for Chi-squre test in case of contingency table of order (4x3) is:

A. 4
B. 3
C. 6
D. 7
Answer» C. 6
106.

Degrees of freedom for Chi-squre test in case of contingency table of order (5x5) is:

A. 25
B. 16
C. 10
D. Infinity
Answer» B. 16
107.

The magnitude of the difference between observed frequencies and expected frequencies is called .......................

A. F value
B. Z value
C. t value
D. Chi-square value
Answer» D. Chi-square value
108.

When the expected frequencies and observed frequencies completely coincide, the chi- square value will be ..............................

A. + 1
B. – 1
C. 0
D. None of these
Answer» C. 0
109.

If the discrepancy between observed and expected frequencies are greater, ......................... will be the chi-square value.

A. Greater
B. Smaller
C. Zero
D. None of these
Answer» A. Greater
110.

Calculated value of chi-square is always........................

A. Positive
B. Negative
C. Zero
D. None of these
Answer» A. Positive
111.

While applying chi-square test, the frequency in any cell should not be ......................

A. More than 5
B. Less than 5
C. More than 10
D. Less than 10
Answer» B. Less than 5
112.

Analysis of variance utilises..................

A. F test
B. Chi square test
C. Z test
D. t test
Answer» A. F test
113.

In one way ANOVA, the variances are:

A. Within samples
B. Between samples
C. Total
D. All
Answer» D. All
114.

The technique of analysis of variance was developed by .............................

A. Frank Wilcoxon
B. Karl Pearson
C. R A Fisher
D. Kolmogrov
Answer» C. R A Fisher
115.

Non-parametric test is :

A. Distribution free test
B. Not concerned with parameter
C. Does not depend on the particular form of the distribution
D. None of these
Answer» D. None of these
116.

.........................tests follow assumptions about population parameters.

A. Parametric
B. Non-parametric
C. One-tailed
D. Two-tailed
Answer» A. Parametric
117.

........................is the simplest and most widely used non-parametric test

A. Sign test
B. K-S test
C. Chi-square tst
D. Wilcoxon matched paired test
Answer» C. Chi-square tst
118.

Runs test was designed by .............................

A. Kruskal and Wallis
B. Kolmogrov and Smirnov
C. Wald wolfowitz
D. Karl Pearson
Answer» C. Wald wolfowitz
119.

Which one of the following is a non-parametric test?

A. F test
B. Z test
C. t test
D. Wilcoxon test
Answer» A. F test
120.

Control charts are also termed as...............................

A. Shewart charts
B. Process behaviour chart
C. Both a and b
D. None of these
Answer» C. Both a and b
121.

What type of chart will be used to plot the number of defective in the output of any process?

A. x̄ chart
B. R chart
C. C chart
D. P chart
Answer» D. P chart
122.

Process control is carried out:

A. Before production
B. During production
C. After production
D. All of the above
Answer» B. During production
123.

The dividing lines between random and non-random deviations from mean of the distribution are known as ..........................

A. Upper Control Limit
B. Lower Control Limit
C. Control Limits
D. Two sigma limit
Answer» C. Control Limits
124.

The control charts used to monitor variable is...........................

A. Range chart
B. P-chart
C. C-chart
D. All of the above
Answer» A. Range chart
125.

The control charts used to monitor attributes is............................

A. Range chart
B. P-chart
C. C-chart
D. All of the above
Answer» B. P-chart
126.

The control charts used for the fraction of defective items in a sample is............................

A. Range chart
B. P-chart
C. C-chart
D. Mean chart
Answer» B. P-chart
127.

The control charts used for the number of defects per unit is:

A. Range chart
B. P-chart
C. C-chart
D. Mean chart
Answer» C. C-chart
128.

........................is user for testing goodness of fit.

A. Wilcoxon test
B. Sign test
C. K-S Test
D. Chi-square test
Answer» D. Chi-square test
129.

Which of the following is a non-parametric test?

A. F-test
B. Z-test
C. Wilcoxon test
D. All of the above
Answer» C. Wilcoxon test
130.

Regression coefficient is independent of...........................

A. Origin
B. Scale
C. Both a and b
D. Neither origin nor scale
Answer» A. Origin
131.

The geometric mean of the two regression coefficient, bxy and byx is equal to:

A. R
B. r2
C. 1
D. None of the above
Answer» A. R
132.

In a correlation analysis, if r= 0, then we may say that there is .................. between variables.

A. No correlation
B. Linear correlation
C. Perfect correlation
D. none of these
Answer» A. No correlation
133.

If ‘r’ is the correlation coefficient between two variables, then:

A. 0 < r < 1
B. – 1 ≤ r ≤ 1
C. r ≥ 0
D. r ≤ 0
Answer» B. – 1 ≤ r ≤ 1
134.

Statistics can be best considered as

A. an art
B. science
C. both art as well as science
D. art and philosophy
Answer» C. both art as well as science
135.

The mid point of a class is obtained by

A. adding upper and lower limit
B. deducting upper limit from the lower limit
C. dividing the diference of upper and lower limit by 2
D. ading upper and lower limit and dividing by 2
Answer» D. ading upper and lower limit and dividing by 2
136.

The algebraic sum of the deviations of a set of a n values from their arithmetic mean is

A. n
B. 0
C. 1
D. -1
Answer» B. 0
137.

Standard deviation is

A. absolute measure
B. relative measure
C. both
D. none
Answer» A. absolute measure
138.

Coefficient of variation is a relative measure of

A. mean
B. standard deviation
C. range
D. dispersion
Answer» D. dispersion
139.

In a business house, statistics decreases the:

A. risk
B. uncertainty
C. profit
D. sales
Answer» B. uncertainty
140.

Cartograph is a:

A. line diagram
B. bar diagram
C. map
D. circle
Answer» C. map
141.

Statistical results are all the time:

A. qualitative one
B. an average
C. an exact result
D. an isolated number
Answer» B. an average
142.

Economics cannot be a successful subject without:

A. business
B. commerce
C. statistics
D. management
Answer» C. statistics
143.

The arithmetic mean between 5 + 3 and 5 - 3 is:

A. 3
B. 3
C. 5
D. 5
Answer» C. 5
144.

The geometric mean of two numbers is 16. If one number is 32, the other number is:

A. 4
B. 6
C. 8
D. 10
Answer» C. 8
145.

The harmonic mean of 4 and 6 is:

A. 4.5
B. 4.8
C. 5
D. 5.5
Answer» B. 4.8
146.

Difference between highest and lowest value called:

A. standard deviation
B. Mean Deviation
C. Quartile Deviation
D. Range
Answer» D. Range
147.

Statistics deals only with

A. quantitative characteristics
B. qualitative characteristics
C. both (a) and (b)
D. none of the above
Answer» A. quantitative characteristics
148.

Open-end classes are those in which

A. lower limit of the first class and the upper limit of the last class are known
B. lower limit of the first class and the upper limit of the last class are not known
C. only lower limit of the first class are known
D. none of the above
Answer» A. lower limit of the first class and the upper limit of the last class are known
149.

Relationship of mean, median and mode according to Karl Pearson is

A. mode = 2median – 3mean
B. median = 2mode – 2mean
C. mode = 3median – 2 mean
D. none of the above
Answer» C. mode = 3median – 2 mean
150.

The sum of the squares of the deviations of the values of a variable is least when the deviations are measured from

A. harmonic mean
B. geometric mean
C. arithmetic mean
D. none of the above
Answer» C. arithmetic mean
151.

Mean deviation is

A. a relative measures
B. an absolute measures
C. both (a) and (b)
D. none of the above
Answer» B. an absolute measures
152.

Interquartile range is the difference between

A. the highest value and the lowest value
B. median and mean
C. the third quartile and the first quartile
D. none of the above
Answer» C. the third quartile and the first quartile
153.

The measures of dispersion can never be

A. positive
B. negative
C. zero
D. none of the above
Answer» B. negative
154.

Which of the following is least when deviations are taken from the median

A. range
B. quartile deviation
C. mean deviation
D. standard deviation
Answer» C. mean deviation
155.

Which average is affected most by extreme observation?

A. Mode
B. Median
C. Geometric mean
D. None of the above
Answer» B. Median
156.

A geometric mean of two numbers 12 and 27 is

A. 9
B. 12
C. 18
D. 21
Answer» C. 18
157.

Statistics can be best considered as

A. An art
B. Science
C. Both art as well as science
D. None of the above
Answer» C. Both art as well as science
158.

The total of all the observations divided by the number of observations is called

A. Arithmetic mean
B. Geometric mean
C. Median
D. Harmonic mean
Answer» A. Arithmetic mean
159.

Lowest value of variance can be

A. 1
B. -1
C. 2
D. 0
Answer» D. 0
160.

The standard deviation and variance are _______ of origin?

A. Multiplied
B. Variance
C. Independent
D. None of the above
Answer» C. Independent
161.

Statistics can be best considered as:

A. a science
B. an art
C. both science as well as art
D. neither science nor art
Answer» C. both science as well as art
162.

Statistics is helpful in:

A. formulating and testing hypothesis
B. prediction
C. formulation of suitable policies
D. all of the above
Answer» D. all of the above
163.

A set of vertical bars whose areas are proportional to the frequencies represented is known as:

A. Histogram
B. Frequency polygon
C. Ogive
D. none of the above
Answer» A. Histogram
164.

The value in a series of observations which occurs with the greatest frequency is called:

A. median
B. mean deviation
C. standard deviation
D. mode
Answer» D. mode
165.

What is the median of the sample 5, 5, 11, 9, 8, 5, 8?

A. 5
B. 6
C. 8
D. 9
Answer» C. 8
166.

Karl Pearson has expressed the relationship between Mean, Median, and Mode as:

A. Mode = Mean – 3 [Mean – Median]
B. Mode = 3 Median – 2 Mean
C. Median = Mode + 2/3 [Mean – Mode]
D. All of the above
Answer» D. All of the above
167.

The average difference between the items in a distribution and the median or mean of that series is known as:

A. Range
B. Mean deviation
C. Inter-quartile range
D. Standard deviation
Answer» B. Mean deviation
168.

If all the scores on examination cluster around the mean, the dispersion is said to be:

A. Small
B. Large
C. Normal
D. Symmetrical
Answer» A. Small
169.

If two events cannot occur simultaneously at the same trial then they are

A. dependent events
B. independent events
C. mutually exclusive events
D. simple events
Answer» C. mutually exclusive events
170.

If two events A and B are independent, the probability that they will both occur is given by

A. P (A) + P (B)
B. P (A) x P (B)
C. P (A) – P (B)
D. P (A) + P (B) – P (AB)
Answer» B. P (A) x P (B)
171.

Those in which the occurence or non occurence of an event in any one trial affects the probability of other event in other trial. This is known as

A. dependent event
B. independent event
C. complementary event
D. exhaustive event
Answer» A. dependent event
172.

If the probability of drawing a spade from a well shuffled pack of playing card is 14 then the probability that of the card drawn from a well shuffled pack of playing card is ‘not a spade’ is

A. 1
B. 12
C. 14
D. 34
Answer» D. 34
173.

The coefficient of correlation

A. has no limit
B. should be less than 1
C. should be more than 1
D. varies between -1 and +1
Answer» D. varies between -1 and +1
174.

In a box, there are 8 red,7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A. 1/3
B. 3/4
C. 7/19
D. 9/21
Answer» A. 1/3
175.

Probability sampling and random sampling are

A. Anonymous
B. Different terms
C. Synonymous
D. None of the above
Answer» C. Synonymous
176.

Coefficient of correlation will be always

A. More than 0
B. More than -1
C. Less than -1
D. Between -1 and +1
Answer» D. Between -1 and +1
177.

We can measure the cause and effect relationship by the help of

A. Time series analysis
B. Cross-sectional analysis
C. Correlation analysis
D. Regression analysis
Answer» D. Regression analysis
178.

The total events to throw three dice simultaneously is

A. 6
B. 18
C. 21
D. 216
Answer» D. 216
179.

Which of the following cannot be the probability of an event?

A. 1.5
B. 3/5
C. 25%
D. 0.3
Answer» A. 1.5
180.

When the two regression lines are parallel to each other, then their slopes are

A. Zero
B. Different
C. Same
D. Positive
Answer» C. Same
181.

In scatter diagram, if most of the points lie in the first and third quadrants, then coefficient of correlation is:

A. Negative
B. Positive
C. Zero
D. All the above
Answer» B. Positive
182.

Rank correlation coefficient is also known as 10

A. Pearsonian Correlation Coefficient
B. Pearson’s Correlation Coefficient
C. Random Correlation Coefficient
D. Spearman’s Correlation Coefficient
Answer» D. Spearman’s Correlation Coefficient
183.

Correlation does not imply

A. negative correlation
B. cause-effect relationship
C. relativity
D. correction relationship
Answer» B. cause-effect relationship
184.

The value of the correlation coefficient ranges from

A. 0 to 1
B. -1 to 0
C. -1 to 1
D. 0 to 10
Answer» C. -1 to 1
185.

If both the variables are varying in the same direction, the correlation is said to be

A. Positive correlation
B. Negative correlation
C. Partial correlation
D. None of the above
Answer» A. Positive correlation
186.

When two events cannot occur simultaneously in a single trial it is called

A. Mutually exclusive events
B. Collectively exclusive events
C. Mutually exhaustive events
D. None of the above
Answer» A. Mutually exclusive events
187.

When the outcome of one event does not affect the outcome of the other it is said to be

A. Dependent event
B. Independent event
C. Mutually exclusive event
D. Equally likely events
Answer» B. Independent event
188.

Regression coefficient is independent of

A. Origin
B. Scale
C. Both origin and scale
D. None of the above
Answer» A. Origin
189.

The slope of regression line of Y on X is also called the

A. Correlation coefficient of Y on X
B. Correlation coefficient of X on Y
C. Regression coefficient of X on Y
D. Regression coefficient of Y on X
Answer» D. Regression coefficient of Y on X
190.

Two events that cannot be happened simultaneously is known as:

A. Exhaustive events
B. Independent events
C. Mutually exclusive events
D. none of the above
Answer» C. Mutually exclusive events
191.

If two events A and B are mutually exclusive the probability of the occurrence of either A or B is the sum individual probability of A and B. This theorem is called:

A. Multiplication theorem
B. Addition theorem
C. Classical probability
D. Subtraction theorem
Answer» B. Addition theorem
192.

One card is drawn from a standard pack of 52. What is the probability that the card drawn is a king?

A. 4/52
B. 1/4
C. 1/52
D. 52/4
Answer» A. 4/52
193.

A dice is thrown. Find the probability of getting an even number?

A. 2/6
B. 3/6
C. 4/6
D. 5/6
Answer» B. 3/6
194.

If both variables are varying in the opposite direction, it is called:

A. Partial correlation
B. Positive correlation
C. High degree of correlation
D. Negative correlation
Answer» D. Negative correlation
195.

In perfect positive correlation:

A. r = 0
B. r = -1
C. r = +1
D. r = +/- 1
Answer» C. r = +1
196.

In regression analysis, the variable that is being predicted is the

A. explained or dependentvariable
B. independent variable
C. intervening variable
D. is usually x
Answer» A. explained or dependentvariable
197.

The coefficient of correlation

A. is the square of the coefficient of determination
B. is the square root of the coefficient of determination
C. is the same as r-square
D. can never be negative
Answer» B. is the square root of the coefficient of determination
198.

The total current year prices for the various commodities in question is divided by the total of base year prices and the quotient is multiplied under

A. simple aggregative method
B. simple average of relative method
C. weighted aggregative method
D. Laspeyres’ methos
Answer» A. simple aggregative method
199.

Fishers’ index number is

A. The median of Laspeyres’ and Paasches’ index
B. The arithmetic mean of Laspeyres’ and Paasches’ index
C. The geometric mean of Laspeyres and Paasches’ index
D. The harmonic mean of Laspeyres’ and Paasches’ index
Answer» C. The geometric mean of Laspeyres and Paasches’ index
200.

A component of time series used for short term forecast is

A. trend
B. seasonal
C. cyclical
D. irregular
Answer» A. trend
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