Explore topic-wise MCQs in Business Statistics.

This section includes 97 Mcqs, each offering curated multiple-choice questions to sharpen your Business Statistics knowledge and support exam preparation. Choose a topic below to get started.

51.

The number of patients who visited the cardiologists are as 63, 57, 51, 65 in four days then the absolute mean deviation (approximately) is

A. 8 patents
B. 4 patients
C. 10 patients
D. 15 patients
Answer» C. 10 patients
52.

The formula of coefficient of range is

A. L+L⁄H+H
B. H+H⁄L+L
C. H-L⁄H+L
D. H+l⁄H-L
Answer» D. H+l⁄H-L
53.

If the first quartile is subtracted from median then the answer must be equal to

A. third quartile minus median
B. third quartile plus median
C. first quartile plus median
D. median multiply third quartile
Answer» B. third quartile plus median
54.

The difference between first and third quartile is 20 and the sum of first and third quartile is 60 then coefficient of quartile deviation is

A. 18%
B. 15%
C. 3%
D. 13%
Answer» D. 13%
55.

The output of 20 workers in hand made pot painting store is as 55, 65, 62, 60, 74, 75, 65, 70, 70, 72, 67, 78, 79, 80, 68, 54, 56, 63, 69, 71 then the coefficient of range is

A. 0.29
B. 0.19
C. 0.49
D. 0.39
Answer» C. 0.49
56.

The coefficient of quartile deviation is 10.34% and the difference of first and third quartile is 15 then the sum of third and first quartile is

A. 155
B. 165
C. 175
D. 145
Answer» E.
57.

The measuring theorem which helps in determining proportion of observations for specific interval of mean and standard deviation is classified as

A. Pearson Theorem
B. Chebyshev's Theorem
C. sampling theorem
D. population theorem
Answer» C. sampling theorem
58.

Considering the individual values of data set, the actual mean must always be

A. 1
B. −1
C. 0
D. 2
Answer» D. 2
59.

Considering the set of observations, the percentage of values that lies within population mean plus two standard deviations is

A. 60%
B. 55%
C. 75%
D. 85%
Answer» D. 85%
60.

The sum of highest and lowest value is 80 and the coefficient of range is 0.625 then the difference between highest and lowest value is

A. 70
B. 100
C. 150
D. 50
Answer» E.
61.

The measure of variation which is useful for highly skewed distribution is

A. inter quartile deviation
B. quartile deviation
C. inter quartile range
D. quartile range
Answer» C. inter quartile range
62.

The population variance is also called

A. sigma squared
B. negative sigma
C. square root
D. cubic root
Answer» B. negative sigma
63.

According to empirical rule, the standard deviation and mean interval that covers approximately 99.75% of data from a frequency distribution is

A. 4μ±4σ
B. 3μ±3σ
C. μ±3σ
D. 2μ±2σ
Answer» D. 2μ±2σ
64.

The lesser uniformity of 50% observations around the median value is indicated with the help of

A. larger value of range deviation
B. smaller value of range deviation
C. larger value of quartile deviation
D. smaller value of quartile deviation
Answer» D. smaller value of quartile deviation
65.

The theorem which states least percentage of values that fall within z-standard deviations is classified as

A. Chebyshev's Theorem
B. sampling theorem
C. Pearson Theorem
D. population theorem
Answer» B. sampling theorem
66.

The measures which considers the mean or median to calculate average deviation does not includes

A. mean absolute deviation
B. standard deviation
C. variance
D. median deviation
Answer» E.
67.

The mean absolute deviation is 23 and coefficient of mean absolute deviation is 18 then arithmetic mean is

A. 2.28
B. 1.28
C. 3.28
D. 4.28
Answer» C. 3.28
68.

The difference between highest and lowest observation is 20 and coefficient of range is 0.077 then sum of highest and lowest value is

A. 210
B. 220
C. 260
D. 240
Answer» D. 240
69.

The variability measuring tool in which the standard deviation is divided by arithmetic mean and multiplied by 100 is classified as

A. coefficient of variation
B. coefficient of standard deviation
C. coefficient of deviation
D. coefficient of mean
Answer» B. coefficient of standard deviation
70.

The difference between smallest observation in data set and largest observation in data set is classified as

A. positive uniformity
B. negative uniformity
C. range
D. average
Answer» D. average
71.

The mean of squared deviations which is calculated from arithmetic mean is called

A. mean square average
B. standard square average
C. population average
D. sample square average
Answer» B. standard square average
72.

The formula in which Σ(x-x̅)² is divided by one less than number of observations in sample is classified as

A. coefficient of deviation
B. mean variance
C. sample variance
D. population variance
Answer» D. population variance
73.

The measure of distance which is greatly influenced by extreme values in data is considered as

A. range
B. average
C. positive uniformity
D. negative uniformity
Answer» B. average
74.

If the positive square root is taken of population variance then the calculated measure is transformed into

A. standard root
B. standard deviation
C. standard variance
D. sample variance
Answer» C. standard variance
75.

Considering two projects for investment X and Y, the standard deviation of project A is USD $5650 and standard deviation of project B is 12, 680 then the project that must be selected for investment is

A. consider both projects
B. project B
C. project A
D. none of above
Answer» D. none of above
76.

The formula written as quartile deviation divided by sum of third and first quartile is used to calculate

A. coefficient of quartile deviation
B. coefficient of quartiles
C. coefficient of inter quartiles
D. coefficient of central tendency
Answer» B. coefficient of quartiles
77.

For the set of values, the percentage of values that lies within population mean plus four standard deviations of population is

A. 83.75%
B. 93.75%
C. 95%
D. 98.75%
Answer» C. 95%
78.

If the coefficient of variation is 13.4% and the standard deviation is 12 then the arithmetic mean of that set of observations is

A. 69.5
B. 99.5
C. 59.5
D. 89.55
Answer» E.
79.

If in a formula, the mean absolute deviation is numerator and arithmetic mean is denominator then the resultant value is classified as

A. coefficient of mean deviation
B. coefficient of absolute quartile deviation
C. coefficient of quartile range deviation
D. coefficient of mean absolute deviation
Answer» E.
80.

The average deviation measures and distance measures are classified as measures of dispersion on the basis of

A. relative processing
B. information compiled
C. data available
D. method employed
Answer» E.
81.

The categories of measures of dispersion are classified as

A. uniform measures
B. relative measures
C. absolute measures
D. both b and c
Answer» E.
82.

The undesirable consequences which causes the estimated population variance to appear less as compared to real results are classified as

A. undesired error
B. bias
C. non-calculate error
D. non-zero error
Answer» C. non-calculate error
83.

The technique which implies in statistical process to measure the variation in data is called

A. measures of dispersion
B. measures of statistics
C. measures of process
D. none of above
Answer» E.
84.

If the standard deviation is 5 then quartile deviation is

A. 5
B. 0.334
C. 0.234
D. 0.134
Answer» E.
85.

The value of third quartile is 72, second quartile is 52 and the first quartile is 45 then quartile deviation is

A. 13.5
B. 14
C. 16.5
D. 18.5
Answer» B. 14
86.

If the large number of values lies in the central part of data table then the spread of values is measured by

A. percentile range
B. inter quartile range
C. quartile range
D. deciles range
Answer» C. quartile range
87.

The formula which considers the relationship between set of observations, standard deviation and mean is classified as

A. empirical value
B. three way rule
C. normal rule
D. both a and c
Answer» E.
88.

If the calculated value of total sum of squares in sample variance is larger than the variation in data set is considered as

A. smaller
B. greater
C. zero
D. negative
Answer» C. zero
89.

The standard deviation of data is 12 and the mean is 72 then coefficient of variation is

A. 14.67%
B. 16.67%
C. 12.67%
D. 13.67%
Answer» C. 12.67%
90.

The value of third quartile is 61 and inter quartile range of the set of observation is 48 then value of first quartile is

A. 24
B. 34
C. 64
D. 13
Answer» E.
91.

If the scatter or dispersion in the distribution is less on each side then this indicates

A. high uniformity of data
B. dispersion of data
C. outliers of data
D. low uniformity of data
Answer» B. dispersion of data
92.

The arithmetic mean is multiplied to the coefficient of mean absolute deviation to calculate the

A. absolute mean deviation
B. absolute median deviation
C. relative mean deviation
D. relative median deviation
Answer» B. absolute median deviation
93.

The sum of all the squared deviations is divided by the total number of observations to calculate

A. population deviation
B. population variance
C. sample deviation
D. sample variance
Answer» C. sample deviation
94.

For the recorded observation, the ratios measured by absolute variation are considered as

A. non-relative measures
B. relative measures
C. high uniform measures
D. low uniform measures
Answer» C. high uniform measures
95.

If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as

A. coefficient of deviation
B. coefficient of mean
C. standard deviation
D. variance
Answer» D. variance
96.

If the quartile range is 24 then the quartile deviation is

A. 48
B. 12
C. 24
D. 72
Answer» C. 24
97.

If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is

A. 7.08
B. 9.08
C. 10.2
D. 11.2
Answer» B. 9.08