Question

use 6-point bins (94 to 99, 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. 97 69 78 80 83 73 80 68 85 69 83 77 73 89 83 74 74 85 87 97 complete the frequency table below. scores frequency relative frequency cumulative frequency 94 to 99 2 10 % 2 88 to 93 1 5 % 3 82 to 87 6 30 % 9 76 to 81 4 20 % 13 70 to 75 4 20 % 17 64 to 69 3 15 % 20 total

Explanation:

Step1: Sum Frequencies

Add up all frequency values: \(2 + 1 + 6 + 4 + 4 + 3\).
\(2+1=3\), \(3+6=9\), \(9+4=13\), \(13+4=17\), \(17+3=20\).

Step2: Sum Relative Frequencies

Add relative frequencies (in decimal, then convert to %): \(0.10 + 0.05 + 0.30 + 0.20 + 0.20 + 0.15 = 1.00\), so 100%.

Step3: Cumulative Frequency Total

The last cumulative frequency is 20 (matches total frequency).

Answer:

Total Frequency: \(20\), Total Relative Frequency: \(100\%\), Total Cumulative Frequency: \(20\)