There are two statements marked as Assertion (A) and Reason (R). Mark your answer as per the options given below.

Assertion: Equal sized intervals are used when we have data on income and other similar variables where the range is very high.
Reasoning: If a large number of values are concentrated in a small part of the range, equal class intervals would lead to lack of information on many values.

Assertion (A) is not true but Reasoning (R) is correct.

The correct answer is Option 4: Assertion (A) is not true but Reasoning (R) is correct.

Assertion: Equal sized intervals are used when we have data on income and other similar variables where the range is very high. This is incorrect. Unequal sized intervals (not equal sized) are used when we have data on income and other similar variables where the range is very high.

Reasoning: If a large number of values are concentrated in a small part of the range, equal class intervals would lead to lack of information on many values. This is correct.

"There are two situations in which unequal sized intervals are used.

First, when we have data on income and other similar variables where the range is very high. For example, income per day may range from nearly Zero to many hundred crores of rupees. In such a situation, equal class intervals are not suitable because (i) if the class intervals are of moderate size and equal, there would be a large number of classes. (ii) If class intervals are large, we would tend to suppress information on either very small levels or very high levels of income.

Second, if a large number of values are concentrated in a small part of the range, equal class intervals would lead to lack of information on many values.

In all other cases, equal sized class intervals are used in frequency distributions. "