Question

What is variable? What is the difference between discrete and continuous variable?
How inclusive series is different from exclusive series in frequency distribution?​

Answer 1

Answer:

1) A discrete variable is one that can take on finitely many, or countably infinitely many values", whereas a continuous random variable is one that is not discrete, i.e. "can take on uncountably infinitely many values", such as a spectrum of real numbers. Your Pythagorean X is a good example.

2) On the contrary to exclusive series, an inclusive series includes both its upper and lower limit. Of course, this means that we do not include the items with values less than the lower limit and greater than the upper limit.

Answer 2

Explanation:

A measurable characteristic whose value changes overtime is called variable. It refers to that quantity which keeps on changing and which can be measured by some unit. For example, if we measure the height of students of a class, then height is regarded as a variable. A variable can be either discrete or continuous.

Discrete Variable

Continuous Variable

A variable that takes only whole number as its value is called discrete variable.

These variables increase in jumps or in complete numbers.

For example- Number of people in a family, number of students in a class, etc.

A variable that can take any value, within a reasonable limit is called a continuous variable.

These variables assume a range of values or increase in fractions and not in jumps.

For example- age, height, weight, etc.