Question

5. Calculate arithmetic mean from the following data :
x:
100
200
300
400
500
600
700
f:
5
15
30
25
15
12
8​

Answer 1

Answer:

Class Interval

Frequency f

i

Mid values x

i

d

i

=x

i

−A

u

i

=

h

d

i

f

i

u

i

0-100

10

50

-300

-3

-30

100-200

15

150

-200

-2

-30

200-300

25

250

-100

-1

-25

300-400

25

350

0

0

0

400-500

10

450

100

1

10

500-600

10

550

200

2

20

600-700

5

650

300

3

15

A=350,h=100,N=∑f

i

=100

f

i

u

i

=40

Mean(

x

)=A+h[

N

1

∑f

i

u

i

]

Put the values

Mean=390