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the following frequency distribution analyzes the scores on a math test. find the class boundaries of scores interval 40-59

scores| number of students
40-59| 2
60-75| 4
76-82| 6
83-94| 15
95-99| 5

39.5, 59.5
39.5, 58.5
40.5, 58.5
40.5, 59.5 (i think its this one)

The class boundaries of scores interval 40 - 59 are 39.5, 59.5

Class boundaries are data which are used to separate a class of data from another class.

NOTE: Every class has a lower class boundary and an upper class boundary.

The lower class boundary of a class can be obtained by taking the average between the lower limit of the class of interest and the upper limit of the previous class.

The upper class boundary of a class can be obtained by taking the average between the upper limit of the class of interest and the lower limit of the next class.

With the above information in mind, we can obtain the class boundaries of scores interval 40 - 59 as follow:

Class: 40 - 59

Lower limit of class of interest = 40

Upper limit of the previous class = 39

Lower class boundary = [Upper limit of the previous class + Lower limit of class of interest] /2

Lower class boundary = (39 + 40)/2

Lower class boundary = 79/2

Class: 40 - 59

Upper limit of class of interest = 59

Lower limit of the next class = 60

Upper class boundary = [Upper limit of class of interest + Lower limit of the next class]/2

Upper class boundary = (59 + 60) /2

Upper class boundary = 119/2

Therefore, the class boundaries of scores interval 40 - 59 are 39.5, 59.5

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  39.5, 59.5

Step-by-step explanation:

You want a score of 40 to be between the boundary values. Likewise for a score of 59. With your boundaries, a score of 40 would be in the previous class, not the one of interest.

The class boundaries are generally 1/2 below and 1/2 above the lowest and highest scores in the class, respectively. Since the lowest score is 40, the lower boundary would be 40 -1/2 = 39.5. Since the highest score is 59, the upper boundary would be 59 +1/2 = 59.5.

The class boundaries for the interval 40-59 are 39.5 and 59.5.

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