Question

find mean of this with direct method plzzz​

Answer 1

Answer:

Mean = 8,875

Step-by-step explanation:

Given :

Cost                                 frequency ( f )

1000 - 5000                           2

5000 - 10000                         3

10000 - 15000                        2

15000 - 20000                       1

We have to find mean with direct method.

We have formula for Mean

$\Large \text{ Mean = \bar{x}= \dfrac{\sum_{}{}x_if_i}{\sum_{}{}f_i} }\\\\\\\large \text{Where x_i \ is \ mid \ point \ of \ classes }\\\\\\\large \text{So first find x_i }\\\\\\\large \text{We have formula for x_i=\dfrac{upper+lower \ class}{2} }$

Cost                                 frequency ( f )          $x_i$                             $x_if_i$                        

1000 - 5000                           2                         3000                      6000

5000 - 10000                         3                         7500                      22500

10000 - 15000                        2                        12500                     25000

15000 - 20000                       1                         17500                     17500

Total                                        8                                                        71000                      

Now putting values in formula we get

$\Large \text{ Mean = \bar{x}= \dfrac{\sum_{}{}x_if_i}{\sum_{}{}f_i} }\\\\\\\Large \bar{x}= \dfrac{71,000}{8}\\\\\\\Large \bar{x}=8,875$

Thus we get mean = 8,875.

Answer 2

Answer:-

$\overline{x} = 8,875$

Given :-

Cost → Frequency

_______________________________________

1000 - 5000 → 2

5000 - 10000 → 3

10000 - 15000 → 2

15000 - 20000 → 1

$\sum f_i = 8$

To calculate:-

It's mean by direct method.

Solution :-

For finding mean we need$x_i$

See attachment.

Now,

by using method of direct mean:-

$\overline{x} = \dfrac{\sum f_i.x_i}{\sum f_i}$

Where $x_i = \dfrac{u.l + l</p><p>.l}{2}$

U. L = upper limit

L. L = Lower limit

$\sum{f_i x_i } = 71,000$

$\sum{f_i} = 8$

$\overline{x} = \dfrac {71000}{8}$

$\overline{x} = 8875$

Thus mean value is 8875.