What is the meaning of "can be chosen to represent the observations falling in the class".
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What is the meaning of "can be chosen to represent the observations falling in the class".
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Answer:
If x1, x2,. . ., xn are observations with respective frequencies f1, f2, . . ., fn, then this means observation x1 occurs f1 times, x2 occurs f2 times, and so on.
Now, the sum of the values of all the observations = f1x1 + f2x2 + . . . + fnxn,
and sum of the number of observations = f1 + f2 + . . . + fn.
So, the mean x of the data is given by
x
=
f
1
x
1
+
f
2
x
2
+
…
f
n
x
n
f
1
+
f
2
+
…
f
n
Or,
x
=
Σ
n
i
−
1
f
1
x
1
Σ
n
i
=
1
f
1