Question

Statistics lesson
H. The authometic mean
of the following dala
IS 14. Find value of a
fi it assumed mean method ​

Answer 1

Answer:

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STATISTICS

Find the mean of the following data by assumed mean method

Class - interval Frequency

150 - 200 14

200 - 250 26

250 - 300 17

300 - 350 23

350 - 400 20

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ANSWER

Let assumed mean 'a' = 275

Class

interval Frequency

f

i

mid-point

(x

i

)

Deviation

d

i

=x

i

−275

f

i

d

i

150 - 200 14 175 -100 -1400

200 - 250 26 225 -50 -1300

250 - 300 17 275 0 0

300 - 350 23 325 50 1150

350-400 20 375 100 2000

100 450

Hence by assumed mean method using formula

x

ˉ

=a+

h

1

i=l

∑

5

=275+

100

1

×450

= 275 + 4.50 = 279.50

Answer 2

Answer:

The formula of the assumed mean method is: Here, a = assumed mean. fi = frequency of ith class. di = xi – a = deviation of ith class.

Step-by-step explanation:

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