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260+ Quantitative Techniques Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Master of Commerce (M.com) , Bachelor of Commerce (B Com) .

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

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