Reference no: EM132386707
A mathematics achievement test consisting of 100 questions was given to 50 sixth grade students at maple Elementary School. The following data show the number of questions answered correct by each student.
75 48 46 65 71 49 61 51 57 49 84 85 79 85 83 55 69 88 89 55 61 72 64 67 61 77 51 61
68 54 63 94 54 53 71 84 79 75 65 50 45 65 77 71 63 67 57 63 71 77
a. Using the following classes as given below, complete the table
Class frequency relative freq. Cumulative freq. Cumul. Relat. Freq.
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
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b) Draw a relative frequency histogram and discuss the shape of the distribution.
c) How many classes are there?
d) What percent of the data values are at least 70?
e) Calculate the 37th percentile and interpret it.
f) Calculate the 80th percentile and interpret it.