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Google Boy 6 years, 7 months ago
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Sia ? 6 years, 7 months ago
n (T) = 100
n (T - C) = 65
n (T ∪ C) = 210
n (T - C) = n (T) - n (T ∩ C)
65 = 100 - n (T ∩ C)
n (T ∩ C) = 35
n (T ∪ C) = n (T) + n (C) - n (T ∩ C)
210 = 100 + n (C) - 35
n (C) = 145.
Now,
n(C - T) = n(C) - n(C ∩ T)
n(C - T) = 145 - 35
n(C - T) = 110
Posted by Pushpendra Jangir 6 years, 7 months ago
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Sia ? 6 years, 7 months ago
First arrange the given numbers in ascending order
write these numbers in ascending order
3011, 2780, 3020, 2354, 3541, 4150, 5000
we get 2354, 2780, 3011, 3020, 3541, 4150, 5000
Clearly, the middle number is median, 3020
Calculation of Mean Deviations
| xi | {tex}\left|d_{i}\right|=\left|x_{i}-3020\right|{/tex} |
| 3011 | 9 |
| 2780 | 240 |
| 3020 | 0 |
| 2354 | 666 |
| 3541 | 521 |
| 4150 | 1130 |
| 5000 | 1980 |
| Total | {tex}d_{i}=\sum\left|x_{i}-3020\right|=4546{/tex} |
{tex}M. D.=\frac{\sum d_{i}}{n}=\frac{4546}{7}=649.428{/tex}
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Mathematical induction is a mathematical proof technique. It is essentially used to prove that a property P(n) holds for every natural number n, i.e. for n = 0, 1, 2, 3, and so on. The method of induction requires two cases to be proved.
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