The following data represent scores on a pop quiz in a statistics section: Suppose the data are grouped into five classes,and one of them will be "30 up to 44." that is,{x;30 ≤ x

Question

The following data represent scores on a pop quiz in a statistics section:  Suppose the data are grouped into five classes,and one of them will be "30 up to 44." that is,{x;30 ≤ x < 44}.The frequency of this class is _____.
A) 0.20 
B) 0.25 
C) 4 
D) 5

Quizplus · Accepted Answer

The given data is not available for exact calculation of frequencies. The given class interval is {x;30 ≤ x < 44}. As per this interval, any score between 30 and 43.999… will be included in this class. Therefore, we cannot directly count the number of scores that fall in this class interval.

To find the frequency of this class, we can use the relative frequency formula:

Relative Frequency = Frequency of the class / Total number of scores

We do not have the total number of scores, but we know that the data is grouped into five classes. This means the total frequency is divided into five parts. Since we do not know the exact numbers, we can assume that each class has the same frequency. Therefore, the frequency of the "30 up to 44" class will be:

Frequency of the class = (Total frequency) / 5

We can express this in terms of relative frequency:

Relative Frequency = Frequency of the class / Total frequency
Relative Frequency = ((Total frequency) / 5) / Total frequency
Relative Frequency = 1 / 5 = 0.20

Therefore, the frequency of the "30 up to 44" class is 0.20 or 20%. However, the answer choices do not include a percentage option, so we choose the closest option, which is C, 4.

The Following Data Represent Scores on a Pop Quiz in a Statistics