
Size of the class 150-175 is
A) 150
B) 175
C) 25
D) $ - 25$
Answer
551.1k+ views
Hint:
Here, we will find the size of the class from the given range of the grouped frequency distribution by using the size of the class formula. Class size is the difference between the upper class limit and the lower class limit.
Complete step by step solution:
We are given the class interval 150-175.
Now, we will find the size of the class by using the formula
Size of the class is given by the formula Size of the class $ = $ Upper Limit $ - $ Lower Limit
We know that in the given class interval, Upper limit is 175 and Lower limit is 150.
$ \Rightarrow $ Size of the class interval $ = 175 - 150$
By subtracting the upper limit and lower limit, we get
$ \Rightarrow $ Size of the class interval $ = 25$
Therefore, the size of the class 150-175 is $25$.
Thus Option (C) is the correct answer.
Additional Information:
While arranging a group of larger numbers of data, they will be grouped into different classes. The range of these classes is known as the class interval. Class interval is defined as the numerical width of any class in the distribution. This distribution with the class interval is the grouped frequency distribution. Frequency of an event is the number of times an event has occurred in an experiment.
Note:
We know that the class interval is defined as the range of values. Class interval has the smallest value and the largest value. The largest value in the class interval is called the Upper limit. The smallest value in the class interval is called the Lower limit. The class size remains the same for all the class intervals. Class size is not the same as class width and it cannot be negative.
Here, we will find the size of the class from the given range of the grouped frequency distribution by using the size of the class formula. Class size is the difference between the upper class limit and the lower class limit.
Complete step by step solution:
We are given the class interval 150-175.
Now, we will find the size of the class by using the formula
Size of the class is given by the formula Size of the class $ = $ Upper Limit $ - $ Lower Limit
We know that in the given class interval, Upper limit is 175 and Lower limit is 150.
$ \Rightarrow $ Size of the class interval $ = 175 - 150$
By subtracting the upper limit and lower limit, we get
$ \Rightarrow $ Size of the class interval $ = 25$
Therefore, the size of the class 150-175 is $25$.
Thus Option (C) is the correct answer.
Additional Information:
While arranging a group of larger numbers of data, they will be grouped into different classes. The range of these classes is known as the class interval. Class interval is defined as the numerical width of any class in the distribution. This distribution with the class interval is the grouped frequency distribution. Frequency of an event is the number of times an event has occurred in an experiment.
Note:
We know that the class interval is defined as the range of values. Class interval has the smallest value and the largest value. The largest value in the class interval is called the Upper limit. The smallest value in the class interval is called the Lower limit. The class size remains the same for all the class intervals. Class size is not the same as class width and it cannot be negative.
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