The difference between the upper and lower limit is called
(a) Group
(b) Class marks
(c) Class size
(d) Class internal
Answer
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Hint: To solve this question, we will first define the lower limit and the upper limit and then elaborate by an example, we will try to find the difference between them and hence define the term which is the difference between the upper and lower class limit.
Complete step by step answer:
Let us first define upper and lower limits. Here, the upper limit and lower limit are in terms of the class interval. The upper limit of a class or the upper-class limit is the largest data value that can go into the class. Class limits have the same accuracy as the data values, the same number of decimal places as the data value.
Let us define the lower class limit now. The lower class limit of a class is the smallest data value that can go into the class. Let us consider an example to elaborate. Suppose the class interval is given as 30 – 40, then from observing it we see that the lower class limit is 30 and the upper-class limit is given by 40. The difference between them will be 40 – 30 = 10. The difference between the upper limit and the lower limit of a class interval is given by the class size.
So, the correct answer is “Option C”.
Note: We can also solve this question by considering all the options separately. Let us consider the option (a).
(a) Group – Group is nothing but a value of the term given or the frequency given aligned together so that they share the same property.
(b) Class Marks – Classmarks or the midpoint is a specific point in the center of the classes (categories) in a frequency distribution table. It is also the center of the bun in a histogram. It is defined as the average of the upper limit and lower class limit.
(d) Class Interval – Class interval refers to the numerical width of any class in a particular distribution.
So, the answer is class size. It is defined as the difference between the upper and lower class limit. Hence option (c) is the right answer.
Complete step by step answer:
Let us first define upper and lower limits. Here, the upper limit and lower limit are in terms of the class interval. The upper limit of a class or the upper-class limit is the largest data value that can go into the class. Class limits have the same accuracy as the data values, the same number of decimal places as the data value.
Let us define the lower class limit now. The lower class limit of a class is the smallest data value that can go into the class. Let us consider an example to elaborate. Suppose the class interval is given as 30 – 40, then from observing it we see that the lower class limit is 30 and the upper-class limit is given by 40. The difference between them will be 40 – 30 = 10. The difference between the upper limit and the lower limit of a class interval is given by the class size.
So, the correct answer is “Option C”.
Note: We can also solve this question by considering all the options separately. Let us consider the option (a).
(a) Group – Group is nothing but a value of the term given or the frequency given aligned together so that they share the same property.
(b) Class Marks – Classmarks or the midpoint is a specific point in the center of the classes (categories) in a frequency distribution table. It is also the center of the bun in a histogram. It is defined as the average of the upper limit and lower class limit.
(d) Class Interval – Class interval refers to the numerical width of any class in a particular distribution.
So, the answer is class size. It is defined as the difference between the upper and lower class limit. Hence option (c) is the right answer.
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