for certain statistical data £fixi= 1470 and£ fi= 50 .find mean of given data
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Statistics
Introduction
Mean of Grouped Data
The mean (or average) of observations, is the sum of the values of all the observations divided by the total number of observations.
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
Step-by-step explanation:
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