2974
You visited us
2974
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Mean
Calculate the...
Question
Calculate the standard deviation of the following data (by Assumed mean method).
Assumed Mean
=
25
C
.
I
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
f
7
10
15
8
10
Open in App
Solution
C
.
I
Class mark
(
x
i
)
f
i
d
i
=
x
i
−
M
f
i
d
i
f
i
d
2
i
0
−
10
5
7
−
20
−
140
12800
10
−
20
15
10
−
10
−
100
1000
20
−
30
25
15
0
0
0
30
−
40
35
8
10
80
800
40
−
50
45
10
20
200
4000
Total
=
40
Total
=
8600
Given, assumed mean
(
A
)
=
25
Standard deviation
(
σ
)
=
⎷
∑
f
i
d
i
2
n
−
⎧
⎨
⎩
∑
f
i
d
i
n
⎫
⎬
⎭
2
∴
σ
=
√
8600
5
−
{
40
5
}
2
=
√
1720
−
64
=
√
1656
=
40.69
∴
σ
=
40.69
.
Suggest Corrections
0
Similar questions
Q.
Calculate standard deviation of the following data.
X
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
f
10
8
15
8
4
Q.
Calculate the arithmetic mean for the following data using step deviation method.
Marks
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
50
−
60
No. of students
8
15
22
20
10
5
Q.
Calculate the arithmetic mean by assumed mean method for the data given below.
Marks
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
50
−
60
No. of students
5
10
25
30
20
10
Q.
Find the mean of the following data, by using the assumed mean method.
Class Interval
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
Frequency
7
8
12
13
10
Q.
Find mean deviation from median for the given data.
x
0
−
10
10
−
20
20
−
30
30
−
40
40
−
50
f
5
8
15
16
6
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Central Tendency
MATHEMATICS
Watch in App
Explore more
KA Board
Mean
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app