State true or false.

The table of frequency distribution for the number of members in 25 families of the village 6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 is:

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True

False

answer is B.

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Detailed Solution

It is given the number of members in 25 families of the village.
6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.
The class interval is of the size 2, that is 0 - 2.
In the range of 0 - 2 (including 0 and excluding 2) lies nothing.
So the frequency is 0.
In the range of 2 - 4 lies 2, 2, 3, 3, 3, 3.
So the frequency is 6.
In the range of 4 - 6 lies 4, 4, 5, 5, 5, 5.
So the frequency is 6.
In the range of 6 - 8 lies 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7.
So the frequency is 11.
In the range of 8 - 10 lies 8, 8.
So the frequency is 2.
Sketch the frequency table.
Question Image

The constructed table did not match with the given table.
So the correct table for the given frequency is
Question Image

Hence, the table is false.
Hence, option 2 is correct.

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