High School

The following frequency distribution displays the scores on a math test.

Find the class boundaries of the scores interval 50-59.

Scores | Number of Students
------------- | -------------------
50-59 | 2
60-69 | 4
70-79 | 6
80-89 | 15
90-99 | 5

a) 49.5-59.5
b) 49-60
c) 50.5-58.5
d) 49.9-59.1

Answer :

Final answer:

The class boundaries for the interval 50-59 in a frequency distribution table are 49.5 - 59.5, which corresponds to option (a). The boundaries are calculated by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit.

Explanation:

In statistics, class boundaries are values that are half a unit less than the lower limit of the next class and half a unit greater than the upper limit of the previous class. They are used to eliminate gaps between classes and help in segregating data.

For the interval 50-59 in your frequency distribution, since we are dealing with whole numbers, we subtract 0.5 from the lower limit and add 0.5 to the upper limit. Therefore, the class boundaries for the 50-59 interval are: 49.5-59.5. Hence, option (a) is correct.

Learn more about Class Boundaries here:

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