the arethemetic mean of following attribute is 50 find x class0-20,20-40,40-60,60-80,80- 100 frequency 17,x,32,24,19​

Question

the arethemetic mean of following attribute
is 50 find x
class0-20,20-40,40-60,60-80,80-
100
frequency 17,x,32,24,19​

in progress 0
Natalia 1 month 2021-08-21T23:21:21+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-21T23:22:39+00:00

    Answer:

    Step-by-step explanation:

    N=∑f  

    i

    ​  

    =120                [Given]

    ⇒68+f  

    1

    ​  

    +f  

    2

    ​  

    =120

    ⇒f  

    1

    ​  

    +f  

    2

    ​  

    =52

    Now,

    Mean = 50  

    ⇒A+h[  

    N

    1

    ​  

    ∑f  

    i

    ​  

    u  

    i

    ​  

    ]=50

    ⇒50+20×[  

    120

    4−f  

    1

    ​  

    +f  

    2

    ​  

     

    ​  

    ]=50

    ⇒  

    6

    4−f  

    1

    ​  

    +f  

    2

    ​  

     

    ​  

    =0

    ⇒4−f  

    1

    ​  

    +f  

    2

    ​  

    =0

    ⇒f  

    1

    ​  

    −f  

    2

    ​  

    =4

    Solving equations (i) and (ii), we get f  

    1

    ​  

     = 28 and f  

    2

    ​  

    =24.

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