Statistics – level 2
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Statistics – Level 2
C.S.VEERARAGAVAN
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The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
04
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The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
04
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The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
Mid value =
04
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If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13
6 – 12
8 – 10
None of these
03
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If the mid value of an inclusive class of size 7 is 9, Then the class interval is
5 – 13
6 – 12
8 – 10
None of these
Lower limit is 9 – = 9 – 3 = 6
03
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If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13
6 – 12
8 – 10
None of these
Lower limit is 9 – = 9 – 3 = 6Upper limit is 9 + = 9 + 3 = 12
03
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The size of the exclusive class interval 24 – 34 is
9
11
10
24
01
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The difference between the lower ( or upper) limits of two successive classes is the
Lower bound
Upper bound
Mid value of the class
Size of the class, for a continous distribution
02
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The arithmetic mean of the series 2,5,8,11,14
8
6
9
7
05
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The arithmetic mean of the series 2,5,8,11,14
8
6
9
7
Mean of A.P =
05
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Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
06
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Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
Mean deviation =
06
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Mode of 3, 1 , 2 , 3 , 2 , 1, x , 3 , 4 , 3, 6
3
2
x
Cannot be determined
07
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The upper boundary of an inclusive type class 10 – 14 is
14
10
14.5
9.5
08
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The upper boundary of an inclusive type class 10 – 14 is
14
10
14.5
9.5
Boundaries of a class are obtained by Subtracting 0.5 from Lower limit andAdding 0.5 to Upper limit.
08
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The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
09
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The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
Range = 21 – 5 = 16
09
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When a constant ‘c’ is subtracted from every observation of given individual data then the standard deviation of the data is
Increases by c
Decreases by c
Unchanged
Cannot be determined
10
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The sum of the deviations about mean of an individual data is equal to
0
its arithmetic mean
its mean deviation
its range
11
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The sum of deviations is least when taken about
Mean
Median
Mode
All of the above
12
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If the variance of x1, x2,x3…xn is p, then the s.d of
2x1 + 3, 2x2 + 3, …2xn + 3 is
√𝑝2 + 3
2p + 3
2
30
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When 10 < x < 15, then the median of the data 6, 18 , 21, 9 , 23, 5 and x is
9
21
x
Cannot be determined
13
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The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?
12
10
11
5
14
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The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?
12
10
11
5
A.M =
14
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For a symmetric distribution, the mode is 24. The A.M of the distribution is
22
26
24
Cannot be distributed
15
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For a moderately symmetric distribution, Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
16
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For a moderately symmetric distribution, Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
For a moderately symmetric distributionMode = 3 median – 2 mean
16
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The arithmetic mean of the first n natural numbers isn (n +1 )2
n2n+12n +12n
17
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The A.M of the series x1, x2,x3… is then
the A.M of x1 – a , x2 – a , x3 – a , … xn – a is
𝑥– a
– a
a
29
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Median of 8, 12, 13, 17 and 19 is
12.5
13
13.5
6.5
18
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Median of the data 6, 15, 21, 28, 32 and 40 is24.5
24
21.5
28
19
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The median of the first five prime numbers is
11
5
7
2
27
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15/04/2023VEERARAGAVAN C S [email protected] 9894834264
34
The median of five observations is the third observation.
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15/04/2023VEERARAGAVAN C S [email protected] 9894834264
35
The median of five observations is the third observation.The third prime no is 5.
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In some individual data consisting of 20 observations, the observation a0 occurs for the greatest number of times. The mode is
a0
a02
2a0
Cannot determine
20
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The G.M of the data 1, 3, 12 is
√366
3√363
21
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If A, G and H are A.M, G.M & H.M of 2 +ve nos. a and b, then which is true?AG=HA
GH=HA
A√G
= √GA
AG=GH
22
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If each observation is increased by 5, then the range of the data
Increases by 5
Decreases by 5
Does not change
May or may not change
23
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If the range and the minimum value of the observations are 17 and 88 resp., then the maximum value of the data is
100
105
71
110
24
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The first quartile (Q1) of the observations
4, 8, 10, 15, 17, 29 and 32 is
8
16
29
53
25
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The first quartile (Q1) of the observations
4, 8, 10, 15, 17, 29 and 32 is
53
29
16
8
If the data is in ascending order, then Q1 = data.
25
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The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54
51
48
29
53
26
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The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54
51
48
29
53
26
The third quartile is the is data = 9th data