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प्रश्न
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results::
|
Firm A |
Firm B |
|
|
No. of wage earners |
586 |
648 |
|
Mean of monthly wages |
Rs 5253 |
Rs 5253 |
|
Variance of the distribution of wages |
100 |
121 |
(i) Which firm A or B pays larger amount as monthly wages?
(ii) Which firm, A or B, shows greater variability in individual wages?
उत्तर
(i) Monthly wages of firm A = Rs 5253
Number of wage earners in firm A = 586
∴Total amount paid = Rs 5253 × 586
Monthly wages of firm B = Rs 5253
Number of wage earners in firm B = 648
∴Total amount paid = Rs 5253 × 648
Thus, firm B pays the larger amount as monthly wages as the number of wage earners in firm B are more than the number of wage earners in firm A.
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From the prices of shares X and Y below, find out which is more stable in value:
|
X |
35 |
54 |
52 |
53 |
56 |
58 |
52 |
50 |
51 |
49 |
|
Y |
108 |
107 |
105 |
105 |
106 |
107 |
104 |
103 |
104 |
101 |
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| `x` | A | 2A | 3A | 4A | 5A | 6A |
| `f` | 2 | 1 | 1 | 1 | 1 | 1 |
where A is a positive integer, has a variance of 160. Determine the value of A.
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| `x` | 2 | 3 | 4 | 5 | 6 | 7 |
| `f` | 4 | 9 | 16 | 14 | 11 | 6 |
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There are 60 students in a class. The following is the frequency distribution of the marks obtained by the students in a test.
| Marks | 0 | 1 | 2 | 3 | 4 | 5 |
| Frequency | x – 2 | x | x2 | (x + 1)2 | 2x | x + 1 |
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| Weight (in grams) |
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| 200 – 201 | 13 |
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