Answer question number 30 distribution:
Calculate Mean and variance for the following frequency
9
8
x
6
5
4
3
2
4
10
13
18
21
16
8
2
5
10
3
0.31. Calculate Mean, Standard Deviation and Variance:
Variable
Frequency
2
5-10
5
10-15 15-20 20-25 25-30 30-35 3340
16
21
13
7
21.9, S.D. 7.95, 63.201
Q.32. Calculate the Coefficient of Variation for the following distribution of the wages of
workers in a factory:
40-49 50-59 60-69 70-79 80-89 90-99 100-109
Wages (in C)
11 23 40 60 35 16
NO. Of Workers
[X = 7445, S.D. = 15.921, C.V. = 2138%1
Q.33. The following are the scores made by two batsmen A and B in a series of innings:
119 36 84
19
7
6 73
12
115
A
13
48
37
51
4
76 42
B
47
12
Who is better as a run-getter? Who is more consistent?
29
0
IA: = 50, S.D. 4183, C.V. = 8366%
B: = 33, S.D. = 2337, C.V. - 7082801
(A is better as run-getter and B is more consistent.)
Q.34. The index number of prices of cotton and coal shares in 1998 were as under:
Month: Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
Index Number of Prices:
Cotton: 188 178 173 164 172 183 184 185 211 217 232 240
coal: 131 130 130 129 129 129 127 127 130 137 140 142
Which of these two shares do you consider more variable in prices:
[Cotton: = 193.9, S.D. = 23.80, C.V. = 1227%
coal: = 131.75, S.D. 4815, C.V = 365%
. Cotton shares are more variable in prices]
Q. 35. Calculate the arithmetic mean, standard deviation and variance from the following distribution:
Class
Frequency : 2
POCO
SHOT ON poco Fl
5
70-80
7
7
60-70
11
13
21
3
16
8
= 21.9, S.D. = 7.99, 63.97]
50-60 40-50 30-40 20-30