Final answer:Thecumulative frequencyfor the class with the lower class limit of 31 in the providedfrequencydistributionis 32. This is found by adding up the numbers of students in all classes leading up to and including the class 31-34.Explanation:The question is asking for thecumulative frequencyfor the class with lower class limit 31 in the given frequency distribution. The cumulative frequency is thesum of the frequenciesof that class and all previous classes. In this case, you need to add the frequencies for the classes 15-18, 19-22, 23-26, 27-30, and 31-34.To find the cumulative frequency for the class 31-34, we perform the followingcalculations:15-18: 5 students19-22: 4 students23-26: 8 students27-30: 6 students31-34: 9 studentsAddingthese up, we get a cumulative frequency of 32, so the correct answer is (b) 32.Learn more aboutCumulative Frequencyhere:brainly.com/question/34815018#SPJ11...

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