1.

Such series may be converted into simple frequency series using the following method: (i) First, mutual difference between mid-values (i), is determined, and (ii) Second, the difference so obtained is reduced to half (1/2i) which when deducted from the mid-value gives lower limit of the class interval and when added to the mid-value gives the corresponding upper limit.

Answer»

Solution :Thus,Lower limit: `l_1 = m-1/2i`
Upper limit: `l_2=m+1/2i`
where, m=mid-value, i=difference between mid-values, `l_1`=lower limit and `l_2` = upper limit.
In the above frequency series with mid values, the MUTUAL difference between mid-values (i) 15 - 5=10. HALF of it is 5. Deducting 5 from each mid-value we GET lower limits and adding 5 to each mid-value we get the corresponding upper limits.
Following table shows the process of this conversion.


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