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Convert the given frequency distribution...

Convert the given frequency distribution into a continuouos grouped frequency distribution.

In which intervals would 153.5 and 157.5 be included?

Text Solution

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It is clear that, the given table is in exclusive (discontinous) from. So, we first convert it into exclusive form.
Now, consider the classes 150-153, 154-157
`therefore` Lower limt of 154-157=154
and upper limit of 150-153=153
Required difference =154-153=1
So, half the difference =1/2=0.5
So, we subtract 0.5 from each lower limit and add 0.5 to each upper limit.
The table for continous grouped frequency distribution is given below.

Thus, 153.5 and 157.5 would use in the class intervals `153.5-157.5` and `157.5-161.5`, respectively.
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