practice questions
Q1} Rs.1,000/- is deposited at the end of every year for three years at the
rate of 12% per annum.
Approximate present value of the annuity is:
(A) Rs.3,401.83 (B) Rs.2,690.05 (C) Rs.2,401.83 (D) Rs.1,404.92
Q2} Identify which one of the following is not a method of collection of
secondary data:
(A) Published reports. (B) Government statistics.
(C) Company’s financial statements. (D) Questionnaires.
Q3} Maximum value of correlation is
A.2
B.1.5
C.1
D.0
Q4} Spearman's method is the method of calculating coefficient of
correlation by
A.Irvin Fischer
B.Charles Spearman
C.Lorenz
D.Karl Pearson
Q5} Which of the following is not a measure of central location?
A. mean
B. median
C. variance
D. mode
E. None of the above answers is correct.
Q6} What shall be compound interest earned on Rs.750 invested at 12%
per annum for 8 years.
A. Rs.1857
B. Rs.750
C. Rs.1107
D. None of these
Q7} The unknown value in the proportion: 2: x = 3: 9, is ….
A. 5
B. 6
C. 7
D. 8
Q8} If 2.5 : 7.5 = 3.7 : x, then x = ?
A. 10.10
B. 11.10
C. 12.10
D. 13.10
Q9} A businessman pays an amount of Rs. 3000 to purchase for certain item
and sells it at Rs. 3750. Then Mark up rate of the businessman is?
A. 32%
B. 31%
C. 30%
D. 25%
Q10} For a product, if its list price is Rs.500 at the discount rate of 25%
then its net cost price is
A. Rs.375
B. Rs.125
C. Rs.625
D. Rs.525
Q11} 17. The most frequently occurring value of a data set is called the
a. range
b. mode
c. mean
d. median
e. None of the above answers is correct.
Q12} The value that has half of the observations above it and half the
observations below it is called the
a. range
b. median
c. mean
d. mode
e. None of the above answers is correct.
Q13} The standard deviation of a sample of 100 observations equals 64.
The variance of the sample equals
a. 8
b. 10
c. 6,400
d. 4,096
e. None of the above answers is correct.
Q14} The measure of location which is the most likely to be influenced by
extreme values in the data set is the
A. range B. median C. mode D. mean
Q15} Number of observations are 30 and value of arithmetic mean is 15
then sum of all values is
A. 15
B. 450
C. 200
D. 45
Q16} In arithmetic mean, sum of deviations of all recorded observations
must always be
A. two
B. minus one
C. one
D. zero
Q17} Arithmetic mean is 25 and all sum of observations is 350 then number
of observations are
A. 25
B. 70
C. 14
D. 75
Q16} arithmetic mean is 12 and number of observations are 20 then sum of
all values is
A. 8
B. 32
C. 240
D. 1.667
Q17} Arithmetic mean is multiplied to coefficient of mean absolute deviation
to calculate the
A. absolute mean deviation
B. absolute median deviation
C. relative mean deviation
D. relative median deviation
Q18} Harmonic mean, arithmetic mean and geometric mean are all
considered as
A. mathematical averages
B. population averages
C. sample averages
D. extended measures
Q19} If arithmetic mean is 25 and harmonic mean is 15 then geometric
mean is
A. 17.36
B. 16.36
C. 15.36
D. 19.36
Q20} Manner in which geometric mean, harmonic mean and arithmetic
mean are related is as
A. A.M>G.M>H.M
B. A.M>G.M<H.M
C. A.M<G.M<H.M
D. A.M<G.M>H.M
Q21} For individual observations, reciprocal of arithmetic mean is called
A. geometric mean
B. harmonic mean
C. deviation square mean
D. paired mean
Q22} If arithmetic mean is 20 and harmonic mean is 30 then geometric
mean is
A. 14.94
B. 24.94
C. 34.94
D. 44.94
Q23} Coefficient of skewness method in which basis of measuring is deciles
and percentiles is classified as
A. Gary's coefficient of skewness
B. Sharma's coefficient of skewness
C. Kelly's coefficient of skewness
D. Jack Karl's coefficient of skewness
Q24} Coefficient of skewness method in which basis of measuring is deciles
and percentiles is classified as
A. Gary's coefficient of skewness
B. Sharma's coefficient of skewness
C. Kelly's coefficient of skewness
D. Jack Karl's coefficient of skewness
Q25} Three times of difference between mean and median is divided by
standard deviation to calculate coefficient of skewness by method of
A. Professor Keller
B. Professor Bowley
C. Karl Pearson
D. Professor Kelly
Q26} Method of calculating coefficient of skewness by Karl Pearson method
is useful for type of distributions that are
A. non concentrated
B. open ended
C. close ended
D. concentrated
Q27} Distribution whose mode is not well defined and classes of distribution
are open ended uses coefficient of skewness by
A. Karl Pearson
B. Professor Kelly
C. Professor Keller
D. Professor Bowley
Q28} Coefficient of skewness by Karl Pearson, Professor Kelly and professor
Bowley are considered as
A. relative measure of skewness
B. absolute measure of skewness
C. concentrated measure of skewness
D. directed measure of skewness
Q29}Considering probability distribution, if mode is greater than median
then distribution is classified as
A. variable model
B. right skewed
C. left skewed
D. constant model
Q30} Frequency distribution whose most values are dispersed to left or right
of mode is classified as
A. skewed
B. explored
C. bimodal
D. unimodal
Q31}In a negative skewed distribution, order of mean, median and mode is
as
A. mean<median>mode
B. mean>median>mode
C. mean<median<mode
D. mean>median<mode
Q32}Distribution whose outliers are higher values is considered as
A. variable model
B. right skewed
C. left skewed
D. constant model
Q33} Distribution which has outliers with relatively lower values is
considered as
A. experimentally skewed
B. exploratory skewed
C. positively skewed
D. negatively skewed
Q34} In measures of skewness, absolute skewness is equal to
A. mean+mode
B. mean-mode
C. mean+median
D. mean-median
Q35}Considering mean, mode and skewness of data, value of skewness will
be positive if
A. mean<median
B. mean>median
C. mean>mode
D. mean<mode
Q36}Consider a set of observations whose mean is 14 and mode of same set
of observations is 12 then values of skewness around central value are
A. 2
B. 26
C. 1.667
D. 168
Q37}Mode of set of 20 observations is 18 and skewness of observations
around central value is 5 then calculated value of arithmetic mean of
observations is
A. 23
B. 7
C. 13
D. 43
Q38}Considering mean, mode and skewness of data, value of skewness will
be negative if
A. mean>mode
B. mean<mode
C. mean<median
D. mean>median
Q39} In statistics out of 100, marks of 21 students in final exams are as 90,
95, 95, 94, 90, 85, 84, 83, 85, 81, 92, 93, 82, 78, 79, 81, 80, 82, 85, 76,
85 then mode of data is
A. 85
B. 95
C. 90
D. 81
Q40}Branches of statistics includes
A. applied statistics
B. mathematical statistics
C. industry statistics
D. both a and b
Q41} Procedures of descriptive statistics and control charts which are used
to improve process are classified as
A. statistical tools
B. parallel tools
C. serial tools
D. behavioral tool
Q42} Scale used in statistics which provides difference of proportions as well
as magnitude of differences is considered as
A. satisfactory scale
B. ratio scale
C. goodness scale
D. exponential scale
Q43} Sample statistics are denoted by the
A. upper case Greek letter
B. associated roman alphabets
C. roman letters
D. lower case Greek letter
Q44}Difference of mode and mean is equal to
A. 3(mean-median)
B. 2(mean-median)
C. 3(mean-mode)
D. 2(mode mean)
Q45}Difference of mode and mean is equal to
A. 3(mean-median)
B. 2(mean-median)
C. 3(mean-mode)
D. 2(mode mean)
Q46} If mean is 11 and median is 13 then value of mode is
A. 15
B. 13
C. 11
D. 17
Q47} Distribution in which values of median, mean and mode are not equal
is considered as
A. experimental distribution
B. asymmetrical distribution
C. symmetrical distribution
D. exploratory distribution
Q48}If value of three measures of central tendencies median, mean and
mode then distribution is considered as
A. negatively skewed modal
B. triangular model
C. unimodel
D. bimodel
Q49}If value of mode is 14 and value of arithmetic mean is 5 then value of
median is
A. 12
B. 18
C. 8
D. 14
Q50} Statistical measures such as average deviation, standard deviation and
mean are classified as part of
A. deciles system
B. moment system
C. percentile system
D. quartile system
Q51}Statistical measures such as deciles, percentiles, median and quartiles
are classified as part of
A. percentile system
B. quartile system
C. deciles system
D. moment system
Q52}Measures whose calculated values represents only some proportion of
frequency distribution are classified as
A. measures of deciles systems
B. measures of momentum system
C. measures of percentile system
D. measures of moment system
Q53}Branch of statistics which deals with development of particular
statistical methods is classified as
A. industry statistics
B. economic statistics
C. applied statistics
D. mathematical statistics
Q54}Branch of statistics which deals with findings of solution in field of
medicine, education and economics is classified as
A. economic statistics
B. applied statistics
C. mathematical statistics
D. industry statistics
Q55}Analysis based on study of price fluctuations, production of
commodities and deposits in banks is classified as
A. sample series analysis
B. time series analysis
C. numerical analysis
D. experimental analysis
Q56}Regardless to difference in distribution of sample and population, mean
of sampling distribution must be equal to
A. degree of freedom
B. statistic error
C. population mean
D. standard error
Q57}In statistical analysis, sample size is considered large if
A. n > or = 30
B. n < or = 30
C. n > or = 50
D. n < or = 50
Q58}F population standard deviation is not known then formula used to
calculate standard error is as
A. n - 1 ⁄ sample size square root
B. s ⁄ sample size square root
C. n + 1 ⁄ square root of s
D. n * 2 ⁄ sample size square root
Q59}Standard deviation of a sampling distribution is also classified as
A. standard error
B. statistic error
C. sampling error
D. probability error
Q60}Standard deviation of first 50 natural numbers is
A. 45.43
B. 14.43
C. 20.43
D. 16.43
Q61}Total revenue (in crores) of five leather goods companies are as two
companies have revenues between 10-20, one company has revenue
between 20-30 and one company has revenue between 30-40 then standard
deviation is
A. 7.9
B. 4.9
C. 5.9
D. 6.9
Q62} Price of gasoline for three days are as 98, 96, 97, 100 then value of
standard deviation with assumed mean method is
A. 15
B. 10
C. 1
D. 11
Q63}Focus groups, individual respondents and panels of respondents are
classified as
A. pointed data sources
B. itemized data sources
C. secondary data sources
D. primary data sources
Q64} Reports on quality control, production and financial accounts issued by
companies are considered as
A. external secondary data sources
B. internal secondary data sources
C. external primary data sources
D. internal primary data sources
Q65}Government and non-government publications are considered as
A. external secondary data sources
B. internal secondary data sources
C. external primary data sources
D. internal primary data sources
Q66}Data which is generated within company such as routine business
activities is classified as
A. external primary data sources
B. internal primary data sources
C. external secondary data sources
D. internal secondary data sources
Q67}Type of questions included in questionnaire to record responses in
which respondent can answer in any way are classified as
A. multiple choices
B. itemized question
C. open ended questions
D. close ended questions
Q68} The algebraic sum of the deviations of the 10 observation measured
from 15 is 7. Thus , the mean is :
A. 105 B. 70 C. 15.7 D. NONE OF THESE
Q69}in a batch of 13 students, 4 have failed. The marks of the successful
candidates were 41,57,38,61,36,
A. 40 B. 50 C.41 D. 38
Q70}the arithmetic mean of 9 observations is 100 and that 6 is 80, the
combined mean of all the 15 observations will be :
a. 100 b. 80 c. 90 d. 92
Q71} for a symmetrical distribution, q1 and q3 are 20 and 40 respectively.
The value of 50th percentile will be:
a. 40 b. 20 c. 30 d. none of these
Q72}total wages paid to the workers in two factories A and B are the same
but the modal wage in factory A is large than the modal wage in factory B.
in which factory, workers are well off?
a. A b.B c. Equal in both d. no answer
Q73} which of the following would be an appropriate average size of
readymade garments:
a. arithmetic mean b. media c mode d. geometric mean
Q74} Most appropriate measure for qualitative measurement is:
a. mode b. median c. A.M. d. None of these
Q 75} most appropriate average to determine the size of oranges on tree is:
a. mode b. median c. A.M. d. None of these
Q76} The most unstable measure of central tendancy is:
a. A.M. b. median c. Mode d. None if these
Q77} The sum of deviations of observations is zero when measured from:
a. median b. G.M. c. Mode d. A.M.
Q78} The average, most affected by the extreme observations, is :
a. Mode b. A.M. c. G.M. d. Median
Q79} The Most stable average is :
a. Mode b. A.M. c. Median d. G.M.
Q80} The measures based on every item of the series :
a. range b. standard deviation c. quartile deviation d. all of them
Q81} Standard deviation is always computed from :
a. mean b. mode c. median d. geometric deviation
Q82} mean deviation is :
a. less than S.D. b. more than S.D. c. not related to S.D. d. equal to S.D.
Q83} Quartile deviation is based on:
a. the highest 50% of the items b. the lowest 25% of the items
c. the highest 25% of the items d. middle 50% of the items.
Q84} if 25% of the items are less than 20 and 25% are more than 40, the
quartile deviation is :
a. 20 b. 30 c. 40 d. 10
Q85} The mean of squared deviations about the mean is called :
a. S.D. b. Variance c. M.D. d. None of these
Q86} The mean of absolute deviations from an average is called.
a. S.D. b. M.D. c. Variance d. Q.D.
Q87} The median is :
a. 4th decile b. 5th decile c. 8th decile d. None 0f these
Q88} if QD is 16, the most likely value of SD will be :
a. 24 b. 42 c. 16 d. none of these
Q89} If M.D. is 12, the value of S.D. will be
a. 15 b. 12 c. 24 d. None of these
Q90} If every item in a set of data is increased by 10 then which of the
following measures will remain uncharged :
a. Mean b. Median c. Mode d. variance e. none of these
Q91} which of the following measures represents the scatter of the values in
a data set :
a. Arithmetic mean b. Geometric mean c. Harmonic Mean d. Median
e. S.D.
Q92}Which of the following measures does not use every observation in the
data set:
a. Variance b. Coefficient of variance c. mode d. G.M. e. A.M.
Q93} Which of the following measures of dispersion is also called “root mean
square deviation”?
a.Rang b.Average deviation c.mean absolute deviation d.S.
D. d. None of above
Q94} Which of the following measures cannot be combined mathematically?
a. S.D. b. A.M. c. G.M. d. H.M. e. median
Q95} Find out highest common factor of 36 & 84
a. 4 b. 6. C. 12 d. 18
Q96} Find out lowest common multiple of 24,36 & 40
a. 120 b. 240 c.360 d. 480
Q97} The product of two numbers is 2028 and their H.C.F is 13 the numbers
of such pairs greater number is :
a. 1 b. 2 c. 3 d.4
Q98}The sum of two numbers is 528 and their H.C.F. is 33. The number of
pairs of numbers satisfying the above condition :
a. 4 b. 6 c. 8 d. 12
Q99} Sachin is younger than Rahul by 4 years. If their ages are in the
respective ratio 7:9 how old is Sachin ?
a. 16 years b. 18 years c. 28 years d. cannot be determine d. none of
above
Q100} the ratio between the present ages of P and Q is 6:7 If Q is 4 years
old than P , what will be the ratio of the ages of P and Q after 4 years?
a. 3:4 b. 3:5 c. 4:3 d. data inadequate e. none of these
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