Question

Use 6​-point bins ​(​94 to 99, to 88 to 93, ​etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 76 90 78 91 96 80 70 73 65 90 82 94 71 84 78 76 83 66 91 66

Answer 1

First, let's organize the data in ascending order:
65 66 66 70 71 73 76 76 78 78 80 82 83 84 90 90 91 91 94 96

Now, let's create the frequency table with the bins, frequency, relative frequency, and cumulative frequency.

Bins | Frequency | Relative Frequency | Cumulative Frequency
---------------------------------------------------------------
60-65 | 1 | 1/20 | 1
66-71 | 4 | 4/20 | 5
72-77 | 4 | 4/20 | 9
78-83 | 5 | 5/20 | 14
84-89 | 1 | 1/20 | 15
90-95 | 5 | 5/20 | 20
96-101 | 1 | 1/20 | 21 (extra bin just for the max value)

Note: Relative Frequency is calculated by dividing the frequency of each bin by the total number of data points (20 in this case).