Question

The number of times a particular observation occurs in a given data is called its ………

Answer 1

Hint: In this question, we are given a statement and we have to tell what this statement is called. So basically, we will first understand the meaning of this statement. And after that we will take an appropriate example with appropriate data to explain the meaning of the statement.

Complete step by step answer:
Let us first define observations. Here, observation means the fact that is collected about a given variable from the data. Now, we will define the given statement. In the question, the given statement defines the definition of frequency, i.e The number of times a particular observation occurs in a given data is called frequency. A frequency is defined as the number of times the given value repeated in the given data or in other words, we can say frequency of an observation tells us how often the observation occurs in the given data. We will take one example now. Let’s take the list of \[6\] natural numbers. The seven natural numbers are as follows; \[7,3,7,4,3,7\] .Here we will find the frequency of the number \[7\] in the given data. We can easily see that \[7\] occurs three times in the given data. Therefore, the frequency of number \[7\] is \[3\] . Here number \[7\] is the observation.

Note:
 Since we have understood the meaning of frequency of an observation. Let’s understand the term frequency distribution now. The frequency distribution is an overview or a representation of all distinct values corresponding to some variable and the number of times they occur. It represents the frequency within the given class interval, or the number of observations occurs within the given class interval.