Data regarding weights of students of class x of a school is given below Calculate the average weight of the - Maths - Statistics

Question

Data regarding weights of students of class x of a school is given
below Calculate the average weight of the students
weight = 50-52 52-54 54-56 56-58 58-60 60-62 62-64
no of students = 18 21 17 28 16 35 15
by step deviation method

Tanveer Sofi · Accepted Answer

Weights
Mid-point (xi)
Frequency (fi)
xi-a
ui=(xi-a)/h
h=2
fiui

50-52
51
18
-6
-3
-54

52-54
53
21
-4
-2
-42

54-56
55
17
-2
-1
-17

56-58
57=a
28
0
0
0

58-60
59
16
2
1
16

60-62
61
35
4
2
70

62-64
63
15
6
3
45

Total

∑fi=150

∑fiui=18

Here, the assumed mean, a=57 and h=2
Now,
u =1N∑fiuii=17                                   where, N=∑fii=17⇒u =18150=0
12Therefore,Average weight of students, Mean  x =a+hu =57+20
12=57 24

Weights	Mid-point (x_i)	Frequency (f_i)	x_i-a	u_i=(x_i-a)/h h=2	f_iu_i
50-52	51	18	-6	-3	-54
52-54	53	21	-4	-2	-42
54-56	55	17	-2	-1	-17
56-58	57=a	28	0	0	0
58-60	59	16	2	1	16
60-62	61	35	4	2	70
62-64	63	15	6	3	45
Total		∑f_i=150			∑f_iu_i=18

Data regarding weights of students of class x of a school is given below.Calculate the average weight of the students. weight = 50-52 52-54 54-56 56-58 58-60 60-62 62-64 no.of students = 18 21 17 28 16 35 15 by step deviation method.

Data regarding weights of students of class x of a school is given below.Calculate the average weight of the students.
weight = 50-52 52-54 54-56 56-58 58-60 60-62 62-64
no.of students = 18 21 17 28 16 35 15
by step deviation method.