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220+ Business Statistics Solved MCQs

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

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151.

Find the median of the set = { 11,22,33,55,66,99 }

A. 55
B. 44
C. 33
D. 22
Answer» B. 44
152.

Find the mode of the Set = {1,3,3,6,9}

A. 3
B. 6
C. 9
D. 1
Answer» A. 3
153.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

A. 77
B. 66
C. 155
D. 38
Answer» B. 66
154.

Find the mode of the set (8, 5, 7, 10, 15, 21, 5, 7, 2, 5)

A. 15
B. 21
C. 7
D. 5
Answer» D. 5
155.

Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001.

A. 300
B. 29
C. 7
D. 4080
Answer» A. 300
Explanation: To find the median of a set of numbers, you need to first order the numbers in ascending or descending order.

{29, 100, 200, 300, 450, 1029, 2001}

The median is the middle value when a data set has an odd number of observations.

The middle value of 7 numbers is the 4th one, which is 300.

So, median of this set is 300.
156.

The median of the data 13, 15, 16, 17, 19, 20 is:

A. 30/2
B. 31/2
C. 33/2
D. 35/2
Answer» C. 33/2
157.

Find the mode of 8, 5, 7, 10, 15, 21, 5, 7, 2, 5

A. 5
B. 7
C. 2
D. 10
Answer» A. 5
158.

Find the median of the set of numbers: 21, 3, 7, 17, 19, 31, 46, 20 and 43.

A. 19
B. 20
C. 3
D. 16
Answer» B. 20
159.

The following numbers represent the ages of people on a bus: 3, 6, 27, 13, 6, 8, 12, 20, 5, 10. Calculate their mean of their ages.

A. 11
B. 6
C. 9
D. 110
Answer» A. 11
160.

If the mode is 14 and value of mean is 5 then the value of median is

A. 12
B. 18
C. 8
D. 14
Answer» C. 8
161.

The sample mean is a

A. Parameter
B. statistics
C. variable
D. constant
Answer» B. statistics
162.

The suitable average for qualitative data is

A. mean
B. median
C. mode
D. Geometric mean
Answer» B. median
163.

. The average salary of a group of unskilled workers is 10,000 and for a group of skilled workers is 15,000. Combines salary is 12,000. What is the percent of skilled workers?

A. 40%
B. 50%
C. 60%
D. None of these
Answer» A. 40%
164.

The averages are affected by change of:

A. Origin
B. Scale
C. Origin and Scale
D. None of Above
Answer» C. Origin and Scale
165.

When the values in a series are not of equal importance, we calculate the:

A. Arithmetic mean
B. Geometric mean
C. Weighted mean
D. Mode
Answer» C. Weighted mean
166.

A data set may have no mode, one mode, or multiple modes.

A. True
B. False
C. none
D. all
Answer» A. True
167.

Which partition value divides the series into two equal parts.

A. P10
B. P5
C. P50
D. P90
Answer» C. P50
168.

A furniture retail chain operates several stores across the country. A table is to be constructed to showing the number of employees in each region, organized into groups. Which of the following sets of categories would NOT be suitable for use in such a table?

A. 0 - 10, 11-20
B. 0 to less than 10, 10 to less than 20
C. 0-10, 10-20
D. 0 up to 10, 10 up to 20
Answer» C. 0-10, 10-20
169.

The cumulative frequency for a particular class is equal to 35. The cumulative frequency for the next class will be .

A. equal to 65.
B. 35 minus the next class frequency.
C. less than 35.
D. 35 plus the next class frequency.
Answer» B. 35 minus the next class frequency.
170.

What is the modal value for the numbers 4, 3, 8, 15, 4, 3, 6, 3, 15, 3, 4.

A. 3
B. 4
C. 6
D. 15
Answer» A. 3
171.

If in a discrete series 75% values are less than 30, then:

A. Q3 < 75
B. Q3 < 30
C. Q3 = 30
D. Q3 >30
Answer» C. Q3 = 30
172.

One of the following methods of calculating mode is:

A. Mode = 3 Median – 2 Mean
B. Mode = 2 Median – 3 Mean
C. Mode = 3 Median + 2 Mean
D. Mode = 2 Median – 2 Mean
Answer» A. Mode = 3 Median – 2 Mean
173.

According to percentiles, the median to be measured must lie in

A. 80th
B. 50th
C. 100th
D. 30th
Answer» B. 50th
174.

The sum of the squares of the deviations of the variable is when taken about arithmetic mean

A. Maximum
B. Zero
C. Minimum
D. None
Answer» B. Zero
175.

The mean of 10 observations is 10. All the observations are increased by 10%. The mean of increased observations will be:

A. 10
B. 1.1
C. 11
D. 10.1
Answer» C. 11
176.

The suitable average for averaging the shoe sizes for children is:

A. Mean
B. Median
C. Mode
D. Geometric mean
Answer» C. Mode
177.

What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12, 16?

A. 17
B. 16
C. 12.75
D. 12
Answer» B. 16
178.

The measurements of spread or scatter of the individual values around the central point is called:

A. Measures of dispersion
B. Measures of skewness
C. Measures of central tendency
D. Measures of kurtosis
Answer» A. Measures of dispersion
179.

The smaller the variance the less spread of the data around the mean

A. True
B. False
C. none
D. all
Answer» A. True
180.

The measures of dispersion can never be:

A. Positive
B. Negative
C. Zero
D. equal to 2
Answer» B. Negative
181.

The mean deviation is minimum when deviations are taken from:

A. Mean
B. Median
C. Mode
D. None of these
Answer» B. Median
182.

Which of the following is a unit free measure of dispersion:

A. Range
B. Standard deviation
C. Interquartile range
D. Coefficient of range
Answer» D. Coefficient of range
183.

The standard deviation is independent of:

A. Change of scale
B. Change of origin
C. Change of origin and scale
D. None of these
Answer» B. Change of origin
184.

In order to compare two series we can use

A. Coefficient of Variation
B. Standard deviation
C. Coefficient of Skewness
D. Coefficient of kurtosis
Answer» A. Coefficient of Variation
185.

If the values of mean, median and mode coincide in a unimodal distribution, then the distribution will be:

A. Positively Skewed
B. Symmetrical
C. Negatively Skewed
D. None of these
Answer» B. Symmetrical
186.

The degree of peaked ness or flatness of a unimodal distribution is called:

A. Skewness
B. Kurtosis
C. Dispersion
D. Normal distribution
Answer» B. Kurtosis
187.

Following are the Relative measures of dispersion except

A. Co-efficient of Mean deviation
B. Standard deviation
C. Co-efficient of Range
D. Co-efficient of Quartile deviation
Answer» B. Standard deviation
188.

For a symmetrical distribution Q1=25, Q3=45, the median is

A. 20
B. 25
C. 35
D. None of these
Answer» C. 35
189.

The coefficient of variation cannot be meaningfully used to compare the variability of two or more sets of data, when

A. The standard deviation is zero for one or more sets of data
B. The standard deviation is 1 for one or more sets of data
C. The mean is zero for one or more sets of data
D. The mean is 1 for one or more sets of data
Answer» C. The mean is zero for one or more sets of data
190.

Standard deviation is always computed from

A. Mean
B. Median
C. Mode
D. geometric mean
Answer» A. Mean
191.

Which of the following is true, if there is no dispersion in a data set:

A. All the mathematical and positional averages are equal.
B. All the mathematical averages are equal but the positional averages are not equal
C. All the mathematical averages are equal to zero
D. None of these
Answer» A. All the mathematical and positional averages are equal.
192.

For a distribution of data, if the arithmetic mean> median>mode, then which of the following is true?

A. The distribution is symmetrical
B. The distribution is positively skewed
C. The distribution is negatively skewed
D. None of these
Answer» B. The distribution is positively skewed
193.

Correlation analysis is a ..............................

A. Univariate analysis
B. Bivariate analysis
C. Multivariate analysis
D. Both Bivariate and Multivariate analysis
Answer» D. Both Bivariate and Multivariate analysis
194.

If one of the regression coefficients is greater than unity, the other must be:

A. More than Unity
B. Less than Unity
C. Unity
D. all
Answer» B. Less than Unity
195.

If all the points of a scatter diagram lie on a straight line falling from left upper corner to the right bottom corner, the correlation is called...................

A. Zero correlation
B. High degree of positive correlation
C. Perfect negative correlation
D. Perfect positive correlation
Answer» C. Perfect negative correlation
196.

The rank correlation coefficient was discovered by....................................

A. Fisher
B. Spearman
C. Karl Pearson
D. Bowley
Answer» B. Spearman
197.

If the regression line is Y on X, then the variable X is known as..........................

A. Independent variable
B. Explanatory variable
C. Regressor
D. All the above
Answer» D. All the above
198.

The point of intersection of two regression lines is..........................

A. (0,0)
B. (1,1)
C. (x,y)
D. (x̄, ӯ)
Answer» D. (x̄, ӯ)
199.

If r = ± 1, the two regression lines are...............................

A. Coincident
B. Parallel
C. Perpendicular to each other
D. None of these
Answer» A. Coincident
200.

If bxy and byx are two regression coefficients, they have:

A. Same signs
B. Opposite signs
C. Either a or b
D. None of the above.
Answer» A. Same signs

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