Most important objective questions of complete or full book
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Title:11th class statistics,100% Guess complete book important objective questions,1st year class 100% guess,part 3, provided by welcome academy
1)The mean is affected by :
a) Change of origin
b) Scale of measurement
c) Both a and b
d) None of these
2)Sum of squares of deviations of the values is least ,when deviations are taken from :
a) Median
b) Mode
c) Mean
d) Harmonic
3)If any value in a series is zero ,then we cannot calculate the
a) Mean
b) H.M
c) Mode
d) Median
4)For a positive skewed distribution
a) Mean > Mode
b) Mode > Mean
c) Median > Mean
d) None of these
5)Which is the suitable average for calculating average percent increase in population.
a) Median
b) G.M
c) H.M
d) Mean
6)Coding method is used for calculation of the
a) Median
b) Mode
c) Mean
d) Weighted mean
7) Mode of the series 2,2,2,3,3,3,2,3,3,4 is
a) 3
b) 2 and 3
c) 4
d) None of these
8)The suitable average for the qualitative data is :
a) Mean
b) Mode
c) G.M
d) Weighted mean
9)Mode of 2,10 and 7 is
a) 10
b) 2
c) 7
d) None of these
10)Which is appropriate average for finding the average speed of a journey ?
a) Mean
b) G.M
c) H.M
d) Weighted mean
11)The mean of 10 observations is 10 .All observation are increased by 10% .The mean of the increased observations shall be :
a) 20
b) 11
c) 10
d) 100
12)The suitable average for shoe or collar size is :
a) G.M
b) A.M
c) Mode
d) Median
13)When referring to a curve that tails off to the left end, you would call it .
a) Symmetrical
b) Skewed to right
c) Positively skewed
d) None of these
14)For a negative skewed skewed distribution
a) Mean > Mode
b) Mode > Mean
c) Mean > Median
d) None of these
15)Which of the following measures cannot be calculated for the numbers 5,8,12,6,9,13,10.
a) Median
b) Mode
c) Mean
d) None of these
16)It is the reciprocal of the simple average of the reciprocal of all the values
a) A.M
b) GM
c) H.M
d) Mode
17)When referring to a curve whose longer tail is to the right ,you would call it
a) Symmetrical
b) Positively skewed
c) Negatively skewed
d) None of these
18)What is the major assumption we make when computing a mean from grouped data ?
a) All values are discrete
b) Every value in a class is equal to the midpoint
c) No value occurs more than once
d) Each class contain exactly the same number of values
19)Which of the following step is the first in calculating the median of a data set?
a) Aerage the middle two values of the data set
b) Array the data
c) Determine the relative weights of the data in terms of importance
d) None of these
20)Departure from symmetry is called:
a) Kurtosis
b) Skewess
c) Dispersion
d) None of these
21)When a distribution is symmetrical and has one mode ,the highest point on the curve is called the :
a) Mode
b) Median
c) Mean
d) All of these
22)Geometric mean of number 2,4,8 ad 64 is
a) 2
b) 4
c) 8
d) 64
23)Which average cannot be computed if any value is less than zero
a) G.M
b) Median
c) Mode
d) A.M
24)Which pair of measures cannot be calculated when one of numbers in the series is zero?
a) G.M and A.M
b) G.M and H.M
c) H.M and A.M
d) None of these
25)Which of the following averages is affected by extreme values.
a) A.M
b) Median
c) Mode
d) All of these
26)In case of positively skewed distribution the extreme values lie in the
a) Middle
b) Left tail
c) Right tail
d) Anywhere
27)Which of the following average cannot be calculated from the observation 2,2,4,4,6,8,8,10,10
a) Mean
b) Median
c) Mode
d) All of these
28)The median of -3,0,-5 is
a) -3
b) -5
c) Does not exist
29)If x Mean is affected by the change of
a) Origin
b) Scale
c) Both a and b
d) None
30)The most frequent value of the data if it exist is :
a) A.M
b) G.M
c) Mode
d) Median
31)If a distribution has two modes ,then it is called:
a) Uni-model
b) Bi-model
c) Tri-model
d) Multi-model
32)Median divides the data into :
a) 2 parts
b) 3 parts
c) 4 parts
d) 10 parts
33)The mean is based on
a) All the values
b) Small values
c) Extreme values
d) Large values
34)If Mean =40 ,Mode -42, then distribution is
a) 4 skew
b) 2 skew
c) Symmetrical
d) All of these
35)What is the major assumption we make when computing a mean from grouped data?
a) All values are discrete
b) Ever value in a class is equal to the mid point.
c) No value occur more than once
d) Each class contains exactly the same number of values.
36)When calculating the average rate of debt growth for a company ,the correct mean to use is:
a) Arithmetic mean
b) Weighted mean
c) Geometric mean
d) None of these
37)In which of these cases would the mode be most useful as an indicator of central tendency?
a) Every value in a data occur exactly once.
b) all but three values in a data set occur once; three values occur 5 times each
c) All values in a data set occur 10 times each
d) Every observation in a data set has the same values.
38)In a symmetrical distribution
a) Q1=Q3
b) P25=P50=P75
c) A.M=G.M=H.M
d) A.M=Med=Mod
39)If x̅ =10 and Y =2X+5 then =?
a) 20
b) 25
c) 30
d) None of these
40)What is the suitable average for calculating the average price at which article are sold?
a) G.M
b) A.M
c) H.M
d) Mode
41)What is the suitable average for calculating average percent increase in population ?
a) Median
b) Geometric mean
c) Harmonic mean
d) Mean
42)The positive square root of the variance of a distribution is the
a) Standard deviation
b) Mean deviation
c) Absolute deviation
d) None of these
43)A main advantage of using the range as a measure of dispersion is that
a) It is easy to calculate
b) It is heavily influenced by extreme values
c) It can change drastically from one data set to the next
d) It is determined by only two points in the data set
44)The distribution is positively skewed if :
a) Mean<Mode
b) Mean > Mode
c) Mean > Median
d) Both b and c
45)Moment ratios b1 and b2 are
a) Expressed in original unit of the data
b) Dimensionless quantities
c) Independent of origin and scale of measurement
d) Both b and c
46)The sum of squares of deviations is a minimum of these deviations are taken from the :
a) Median
b) Mean
c) Mode
d) All of these
47)Mean deviation is always
a) More than S.D
b) Equal to S.D
c) Less than S.D
d) None of these
48)Which of the following statement is correct ?
a) Every symmetrical curve is mesokurtic
b) Standard deviation is the mean squared deviation from the mean
c) The standard deviation of a constant is constant
d) The second moment about zero equals variance
49)The types of dispersion are
a) 2
b) 3
c) 4
d) 5
50)Why is it necessary to square the difference from the mean when computing the standard deviation?
a) So that the extreme values will not affect the calcualtion
b) Some of the differences will be positive and some will be negative
c) The number of values involved is very small
d) None of these
51)The sum of absolute deviation is a minimum if these deviations are taken from the
a) Mean
b) Median
c) Mode
d) All of these
52)Range can be calculated in open-end classes
a) Never
b) Always
c) Often
d) Seldom
53)The standard deviation is independent of :
a) Change of origin
b) Change of scale of measurment
c) Change of origin and scale of measurement
d) None of these
54)Which of the following measures of dispersion is independent of the units employed?
a) Standard deviation
b) Quartile deviation
c) Coefficient of variation
d) Variance
55)For a moderatley skewed distribution, which of the following empirical formula holds .
a) M.D 4/5(S.D)
b) Q.D=2/3(S.D)
c) Q.D=5/6(M.D)
d) All of these
56)The mean deviation is least of deviation are taken from
a) Median
b) A.M
c) Mode
d) G.M
57)If the third moment abot mean is zero (m3=0), then the distribution is
a) Mesokurtic
b) Positively skewed
c) Symmetrical
d) Negatively skewed
58)If the moment coefficient of kurtosis b2=3 ,then the distribution is
a) Mesokurtic
b) Positively skewed
c) Symmetrical
d) Negatively skewed
59)Which measures of dispersion is considered as the best general purpose measures of dispersion ?
a) Range
b) Semi-interquartile range
c) Standard deviation
d) Mean deviation
60)To compare the variation of two or more than two series ,we use
a) Mean absolute deviation
b) Variance
c) Coefficient of variation
d) Correction standard deviation
61)The distribution is symmetrical if the moment coefficient of skewness b1
a) Negative
b) Positive
c) 3
62)The distribution is mesokurtic if the moment coefficient of kurtosis b2 is
a) Equal to 0
b) Equal to 3
c) Less than 3
d) Greater than zero
63)Which of the following is a relative measure of dispersion ?
a) Standard deviation
b) Variance
c) Coefficient of variation
d) All of these
64)If you divide the standard deviation of the values by the mean of the same values and multiply by 100,you will get
a) Variance
b) Coefficient of variation
c) Mean deviation
d) Mean coefficient of dispersion
65)For a symmetrical distribution
a)
1=0
b)
2=3
c)
1=3
d)
3=3
66)Second moment about mean is
a) Variance
b) 1
c) Standard deviation
67)The variance of 5,5,5,5,5 is
a) 25
b) 5
c) 125
68)In symmetrical distribution if Q1=4 , Q3=12 ,then median is
a) 4
b) 6
c) 8
d) zero
69)A disadvantage of range is that it is based on :
a) Absolute deviation
b) Square deviation
c) Two extreme observation
d) Upper and quartile
70)Relative depression is of types
a) 1
b) 4
c) 3
d) 2
71)For symmetrical distribution 3 is
a) 1
b) Zero
c) 3
d) 4
72)If the values of a variable are -2, -3, -5, -10 then range is
a) -12
b) 8
c) -8
73)The measures of dispersion are changed by the change of
a) Origin
b) Scale
c) Both a and b
d) None of these
74)M.D of the values 4,4,4,4 is :
a) 4
b) 8
c) 12
75)In shsppad's correction 2 is equal to
a) 2-
h2/12
b) 2+h2/12
c) 2-h/2
d) None of these
76)The mean deviation of dispersion can be negative
a) Never
b) Always
c) Sometimes
d) Often
77)For Leptokurtic distribution
a) b2>3
b) b2 <3
c) b2 =3
d) b1 >3
78)First central moment is always
a) Zero
b) 1
c) -1
d) 2
79)Which set has the maximum variation ?
a) 46,48,50
b) 30,40,50
c) 40,50,60
d) 48, 48, 49
80)If Q3=20 and Q1=10 the coefficient of quartile deviation is
a) 3
b) 1/3
c) 2/3
d) 1
81)The value of standrad deviation changes by change of
a) Origin
b) Scale
c) Algebric sign
d) None
82)The range of the scores 19,3,140,25,95 is
a) 140
b) 3
c) 137
d) 143
83)The range of the values -2, -4, -6 and -8 is
a) -6
b) 6
c) -10
d) -4
84)The variance expressed the variability of data in as unit of data.
a) Square of unit
b) Square root if unit
c) Same unit
d) All of these
85)For moderately skewed distribution ,the approximate percentage of cases included between -2S and +2S is
a) 99.7%
b) 68%
c) 95%
d) 50%
86)If x and Y are independent ,then Var(X-Y) is equal to
a) Var(X) +Var(Y)
b) Var(X)-Var(Y)
c) Var(X+Y)
d) Zero
87)For moderately skewed distribution approximately 80% of the cases are included between .
a) -S and
+S
b) -2S and
+2S
c) -3S and
+3S
d) None of these
88)The first central moment is always
a) Zero
b) 1
c) -1
d) 2
89) The S.D of 8,8,8,8,8,8 is
a) 8
b) 16
c) 24
d) zero
90)In a symmetrical distribution ,the coefficient of skewness will always be :
a) Negative
b) Zero
c) 1
d) -1
90)Var(bX)=
a) b Var(X)
b) b2Var(X)
c) Var(X)
d) Var(X) b2
91)The value of standard deviation changes by change of
a) Origin
b) Scale
c) Algebraic sign
d) None
92)If s.d(x)=5 ,then s.d (2X+5/2) is equal to
a) 5
b) 10
c) 15
d) 7.5
93)If all the values considered in calculating an index are of equal importance ,the index is
a) Weighted
b) Simple
c) Unweighted
d) None of these
94)When the base year values are used as weighted everage of relatives price index is the same as
a) The Paasche's index
b) The Laspeyres' index
c) The unweighted average of relatives price index
d) None of these
95)Commodities subject to considerable price variation can be measured by a
a) Price index
b) Quantity index
c) Value index
d) None of these
96)The weights used in a quantity index are
a) Percentage of total quantity
b) Quantities
c) Average of prices
d) None of these
97)The weights used in a price index are
a) Percentage of total quantity
b) Quantities
c) Average of prices
d) None of these
98)The base period can be described as a 'normal' period if
a) It is neither the peak nor the trough of a fluctuation
b) It is the most recent period for which we have data
c) It is average of several consecutive period
d) None of these
99)Which of the following methods uses quantities consumed in the current period when computing a weighted index?
a) Laspeyres' method
b) Paasche's method
c) Marshall- Edge wort's method
d) Fisher's method
100)Which of the following methods uses quantities consumed in the base period when computing a weighted index?
a) Laspeyres' method
b) Paasche's method
c) Marshall- Edge wort's method
d) Fisher's method
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