Question

As per the law of statistics given by king _________________.
a). If a data is chosen randomly from a large group then that data will invariably show the characteristic of the group.
b). The law developed by King is more accurate if applied for large group.
c). Data sample which is to be taken for a large group should be systematic so that invariably it shows the characteristic of a large group.
d). Both (a) and (b)

Answer 1

Hint: In order to find the solution to the given question that is to find the most correct option among the four options where the question asks about the law of statistics given by the king. According to King, “the Law of Statistics formulated in the mathematical theory of probability lays down that a moderately large number of items chosen at random from a very large group are almost sure to have the characteristics of the large group.” For example, if we want to find out the average income of \[10,000\] people, we take a sample of \[100\] people and find the average. Suppose another person takes another sample of \[100\] people from the same population and finds the average, the average income found out by both the persons will have the least difference. On the other hand, if the average income of the same \[10,000\] people is found out by the census method, the result will be more or less the same.

Complete step by step solution:
According to the question, given fill in the blank is as follows:
As per the law of statistics given by king _________________.
To complete this blank and find the most correct options use the definition of Law of Statistics given by King which states that “In the mathematical theory of probability lays down that a moderately large number of items chosen at random from a very large group are almost sure to have the characteristics of the large group.” Its characteristics are:
1. The item selected will represent the universe and the result is generalized to the universe as a whole.
2. Since sample size is large, it is representative of the universe.
3. There is a very remote chance of bias.
Therefore, according to the law of statistics Both (a) and (b) are correct. Hence, correction option is option (d).

Note: Students generally make mistakes while interpreting the meaning of the law of statistics, thinks the statement “data sample which is to be taken for a large group should be systematic so that invariably it shows the characteristic of a large group” is correct which is completely wrong. For better understanding consider this example, if we want to find out the average income of \[10,000\] people, we take a sample of \[100\] people and find the average. Suppose another person takes another sample of \[100\] people from the same population and finds the average, the average income found out by both the persons will have the least difference. On the other hand, if the average income of the same \[10,000\] people is found out by the census method, the result will be more or less the same.