no compute standard devtation for the
following distribution .
12 is 18 21 24 27 30
wages? a
W sikere! -
20 60 150 250 200 120 50 40
Answers
Step-by-step explanation:
% accurate.
Page No 277:
Question 33:
The following are the scores made by two batsmen A and B in a series of innings:
A : 12 115 6 73 7 19 119 36 84 29
B : 47 12 76 42 4 51 37 48 13 0
Who is better as a run-getter ? Who is more consistent?
ANSWER:
For Batsman A
S. No. Score
(XA) Deviation from mean
(xA=XA-XA) x
2
A
1
2
3
4
5
6
7
8
9
10 12
115
6
73
7
19
119
36
84
29 −38
65
−44
23
−43
−31
69
−14
34
−21 144
4225
1936
529
1849
961
4761
196
1156
441
N = 10 ΣxA = 500 Σx
2
A
=17498
X=
ΣX
N
=
500
10
=50SD (σA)=
√
Σx
2
A
N
=
√
17498
10
=41.83Coefficient of Variation=
σA
XA
×100=
41.83
50
×100=83.66%
For Batsman B
S. No. Score
XB Deviation from Mean
(xB=XB-XB) x
2
B
1
2
3
4
5
6
7
8
9
10 47
12
76
42
4
51
37
48
13
0 14
−21
43
9
−29
18
4
15
−20
−33 196
441
1849
81
841
324
16
225
400
1089
N = 10 ΣxB = 330 Σx
2
B
=5462
XB=
ΣX
N
=
330
10
=33SD (σB)=
√
Σx
2
B
N
=
√
5462
10
=
√
546.2
=23.37Coefficient of Variation=
σB
XB
×100=
23.37
33
×100=70.82%
Since average score of A is more than B, he is better as run-getter but since, coefficient of variance is less for B, therefore B is more consistent.
Page No 280:
Question 1:
The daily wages of ten workers are given below. Find out range and its coefficient.
No. of Workers : A B C D E F G H I J
Wages in (₹) : 175 50 50 55 100 90 125 145 70 60
ANSWER:
Range = Largest item (L) − Smallest item (S)
=175 − 50 = 125
Coefficient of Range=
L-S
L+S
=
175-50
175+50