Question

Find the missing frequencies f1 and f2 if the mean of 50 observations given above is 38.2.

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Answer 1

Step-by-step explanation:

It is given that mean is 38.2

sig. ma xi fi

mean = ----------------

sig. ma fi

1195+25f1+45f2

38.2= _____________

50

1910=1195+25f1+45f2

715=25f1+45f2

5f1+9f2=143 _______eqn 1

31+f1+f2=50

f1+f2=19 ___________eqn 2

now solve equation 1 and equation 2 to find the value of F1 and F2

5f1+9f2= 143

5f1+5f2=95

- - -

4f2=48

f2=48/2

f2=12

f1+12=19

f1=19-12

f1=7

thus , f1=7

f2=12