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Class Mid points
This is very significant values which mark the center of a provided class. They are acquired by adding together the two limits of a provided class and dividing the result by 2.
Class interval or width
It is the difference between a lower class boundary and upper class boundary. The value normally measures the length of a provided class.
Age (yrs)
No. of Students (f)
mid points (x)
x-a = d
D/c = u
fu
15 - 19
21
17
-15
-3
-63
20 - 24
35
22
-10
-2
-70
25 - 29
38
27
-5
-1
-38
30 - 34
49
32(A)
0
35 - 39
31
37
+5
+
40 - 44
19
42
+10
+2
193
-102
Perform the denoted operation for each of the following. (a) Add 6x 5 -10x 2 + x - 45 to 13x 2 - 9 x + 4 . (b) Subtract 5x 3 - 9 x 2 + x - 3 from x 2+ x +1.
6 7/10+8 9/4
Bayes’ Theorem In its general form, Bayes' theorem deals with specific events, such as A 1 , A 2 ,...., A k , that have prior probabilities. These events are mutually exclusive
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We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
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