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in Business Statistics

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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1.

Index number for base year is always considered as------

A. 100
B. 101
C. 200
D. 201
Answer» A. 100
2.

Index number is a special type of ----------

A. Average
B. dispersion
C. correlation
D. none of the above
Answer» A. Average
3.

A period for which index number is determined is called as ------

A. current period
B. base period
C. . Normal period.
D. None of the above
Answer» A. current period
4.

Laspeyre's index = 110, Paasche's index = 108, then Fisher's Ideal index is equal to:

A. 110
B. 108
C. 100
D. 109
Answer» D. 109
5.

Index number calculated by Fisher's formula is ideal because it satisfy:

A. Circular test
B. Factor reversal test
D. All of the above
Answer» D. All of the above
6.

In the regression equation Y = 75.65 + 0.50X, the intercept is

A. 75.65
B. 0.5
C. 1
D. intereminable
Answer» A. 75.65
7.

The coefficient of determination must be

A. between -1 and +1
B. between -1 and 0
C. between 0 and 1
D. equal to SSE/(n-2)
Answer» A. between -1 and +1
8.

In the regression equation Y = a+bX, the Y is called:

A. Independent variable
B. Dependent variable
C. Continuous variable
D. None of the above
Answer» B. Dependent variable
9.

How many type of data are there in Statistics

A. 2
B. 3
C. 4
D. 5
Answer» A. 2
10.

is data that is collected by a researcher from first-hand sources

A. Primary data
B. Secondary data
C. both
D. none
Answer» A. Primary data
11.

What are the method of collecting Primary Data

A. Interview
B. observation
C. Questionnair
D. All of the above
Answer» D. All of the above
12.

A measure of is a single value that attempts to describe a set of data by identifying the central position within that set of

A. Central Tendency
B. Mean
C. Median
D. Mode
Answer» A. Central Tendency
13.

Find the mean of 13,18,13,14,13,16,14,21,13

A. 11
B. 12
C. 15
D. 13
Answer» C. 15
14.

how many types of series are there

A. 3
B. 2
C. 5
D. 4
Answer» A. 3
15.

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

A. 55
B. 44
C. 33
D. 22
Answer» B. 44
16.

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

A. 3
B. 6
C. 9
D. 1
Answer» A. 3
17.

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
18.

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
19.

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.
20.

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
21.

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
22.

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
23.

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
24.

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
25.

The sample mean is a

A. Parameter
B. statistics
C. variable
D. constant
Answer» B. statistics
26.

The suitable average for qualitative data is

A. mean
B. median
C. mode
D. Geometric mean
Answer» B. median
27.

. 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%
28.

The averages are affected by change of:

A. Origin
B. Scale
C. Origin and Scale
D. None of Above
Answer» C. Origin and Scale
29.

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
30.

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

A. True
B. False
C. none
D. all
Answer» A. True
31.

Which partition value divides the series into two equal parts.

A. P10
B. P5
C. P50
D. P90
Answer» C. P50
32.

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
33.

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.
34.

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
35.

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
36.

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
37.

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

A. 80th
B. 50th
C. 100th
D. 30th
Answer» B. 50th
38.

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
39.

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
40.

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

A. Mean
B. Median
C. Mode
D. Geometric mean
Answer» C. Mode
41.

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
42.

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
43.

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

A. True
B. False
C. none
D. all
Answer» A. True
44.

The measures of dispersion can never be:

A. Positive
B. Negative
C. Zero
D. equal to 2
Answer» B. Negative
45.

The mean deviation is minimum when deviations are taken from:

A. Mean
B. Median
C. Mode
D. None of these
Answer» B. Median
46.

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
47.

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
48.

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
49.

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
50.

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

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