1. Statistics – Level 2
C.S.VEERARAGAVAN

2. The mid value of the class
27.5 – 37.5 is
32
32.5
33
33.5
0
4

3. The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
Lower limit+Upper Limit
2
0
4

4. The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
Lower limit+Upper Limit
2
Mid value =
27.5 + 37.5
2
0
4

5. 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
0
3

6. 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 –
7−1
2
= 9 – 3 =
6
0
3

7. 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 –
7−1
2
= 9 – 3 =
6
Upper limit is 9 +
7−1
2
= 9 + 3 = 12
0
3

8. The size of the exclusive class
interval 24 – 34 is
9
11
10
24
0
1

9. 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
0
2

10. The arithmetic mean of the
series 2,5,8,11,14
8
6
9
7
0
5

11. The arithmetic mean of the
series 2,5,8,11,14
8
6
9
7
Mean of A.P =
First Number + Last number
2
0
5

12. Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
0
6

13. Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
Mean deviation =
17 −8
2
= 4.5
0
6

14. Mode of 3, 1 , 2 , 3 , 2 , 1, x , 3 , 4 , 3, 6
3
2
x
Cannot be determined
0
7

15. The upper boundary of an
inclusive type class 10 – 14 is
14
10
14.5
9.5
0
8

16. 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 and
Adding 0.5 to Upper limit.
0
8

17. The range of the values
7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
0
9

18. The range of the values
7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
Range = 21 – 5 = 16
0
9

19. 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
1
0

20. The sum of the deviations about
mean of an individual data is equal
to
0
its arithmetic mean
its mean deviation
its range
11

21. The sum of deviations is least
when taken about
Mean
Median
Mode
All of the above
1
2

22. If the variance of x1, x2,x3…xn is p, then the s.d of
2x1 + 3, 2x2 + 3, …2xn + 3 is
𝑝
2 𝑝 + 3
2p + 3
2 𝑝
3
0

23. 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
1
3

24. The A.M and the sum of
observations of individual data is 9
and 108 resp. The no. of
observations = ?12
10
11
5
1
4

25. 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 =
Sum of observations
No of observations
1
4

26. For a symmetric distribution, the
mode is 24. The A.M of the
distribution is
22
26
24
Cannot be distributed
1
5

27. For a moderately symmetric distribution,
Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
1
6

28. For a moderately symmetric distribution,
Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
For a moderately
symmetric distribution
Mode = 3 median – 2
mean
1
6

29. The arithmetic mean of
the first n natural
numbers is
n n+1
2
n
2
n+1
2
n+1
2n
1
7

30. The A.M of the series x1, x2,x3… is 𝑥 then
the A.M of x1 – a , x2 – a , x3 – a , … xn – a is
𝑥
𝑥 – a
𝑥 – a
a 𝑥
2
9

31. Median of 8, 12, 13, 17 and 19 is
12.5
13
13.5
6.5
1
8

32. Median of the data
6, 15, 21, 28, 32 and 40
is24.5
24
21.5
28
1
9

33. The median of the first five prime
numbers is
11
5
7
2
2
7

34. The median of five
observations is the third
observation.
12-06-2015VEERARAGAVAN C S
veeraa1729@gmail.com 9894834264
34

35. The median of five
observations is the third
observation.
The third prime no is 5.
12-06-2015VEERARAGAVAN C S
veeraa1729@gmail.com 9894834264
35

36. In some individual data consisting of 20
observations, the observation a0 occurs
for the greatest number of times. The
mode isa0
a0
2
2a0
Cannot determine
2
0

37. The G.M of the data 1, 3, 12 is
36
6
3
36
3
2
1

38. If A, G and H are A.M, G.M & H.M of
2 +ve nos. a and b, then which is
true? A
G
=
H
A
G
H
=
H
A
A
G
=
G
A
A
G
=
G
H
2
2

39. 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
2
3

40. 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
2
4

41. The first quartile (Q1) of the observations
4, 8, 10, 15, 17, 29 and 32 is
8
16
29
53
2
5

42. 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 =
n+1
4
𝑡ℎ
data.
2
5

43. The third quartile ( Q3) of the data 16,
21, 23, 25, 29, 32, 46, 48, 51, 53
, 54
51
48
29
53
2
6

44. The third quartile ( Q3) of the data 16,
21, 23, 25, 29, 32, 46, 48, 51, 53
, 54
51
48
29
53
2
6
The third quartile is the
3
4
Q3 is
3
4
n+1 th data = 9th data