Question no24 without using shortcut method 24 sin x â€” tan x t derivative ofx Sin x with respect - Maths - Statistics

Question

Question no24 without using shortcut method

Lovina Kansal · Accepted Answer

Dear student

Class-Interval
Frequency fi
Mid-values xi

ui=xi-6510
fiui
ui2
fiui2

30-40
3
35
-3
-9
9
27

40-50
7
45
-2
-14
4
28

50-60
12
55
-1
-12
1
12

60-70
15
65
0
0
0
0

70-80
8
75
1
8
1
8

80-90
3
85
2
6
4
12

90-100
2
95
3
6
9
18

N=∑fi=50

∑fiui=-15

∑fiui2=105

Here,N=50,∑fiui=-15 and ∑fiui2=105 and h=10So, Mean=A+h1N∑fiui=65+10-1550=65-3=62VarX=h21N∑fiui2-1N∑fiui2=10010550--15502=10010550-2252500=1005250-2252500=201So, S
D=VarX=201=14 1
Regards

Class-Interval	Frequency f_i	Mid-values x_i	$u_{i} = \frac{x_{i} - 65}{10}$	$f_{i} u_{i}$	${u_{i}}^{2}$	$f_{i} {u_{i}}^{2}$
30-40	3	35	-3	-9	9	27
40-50	7	45	-2	-14	4	28
50-60	12	55	-1	-12	1	12
60-70	15	65	0	0	0	0
70-80	8	75	1	8	1	8
80-90	3	85	2	6	4	12
90-100	2	95	3	6	9	18
	$N = \sum_{}^{} f_{i} = 50$			$\sum_{}^{} f_{i} u_{i} = - 15$		$\sum_{}^{} f_{i} {u_{i}}^{2} = 105$