Final answer:
The class boundaries for the interval 50-59 in a frequency distribution are 49.5 to 59.5, calculated by taking 0.5 less than the lower limit and 0.5 more than the upper limit of the class interval.
Step-by-step explanation:
The student has asked to find the class boundaries of the scores interval 50-59 in a frequency distribution for a math test. In frequency distribution, the class boundaries are the actual limits of the class intervals. These boundaries are needed to avoid any ambiguity as to where an observation falls, especially when dealing with continuous data. To find the class boundaries around the interval 50-59, we need to consider the value just below the lower limit and the value just above the upper limit.
Looking at the example where class intervals are given in intervals of 7, such as 56.5-62.5 and 49.5-56.5, we can infer that the lower boundary of the 50-59 interval should be 49.5 (since 50 - 0.5 = 49.5). Similarly, the upper boundary should be 59.5 (since 59 + 0.5 = 59.5). Therefore, the class boundaries for the interval 50-59 would be 49.5 to 59.5.