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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 %
Step1: Count scores in 94 - 99
Look at the exam scores: 97, 97 are in 94 - 99. So frequency is 2.
Step2: Calculate total number of scores
Count all scores: 97, 69, 78, 80, 83, 73, 80, 68, 85, 69, 83, 77, 73, 89, 83, 74, 74, 85, 87, 97. Total \( n = 20 \).
Step3: Find relative frequency
Relative frequency \(=\frac{\text{Frequency}}{\text{Total}} \times 100=\frac{2}{20} \times 100 = 10\% \).
Step4: Calculate cumulative frequency
For the first bin (94 - 99), cumulative frequency is its frequency (since it's the first bin), so 2.
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Frequency: 2, Relative Frequency: 10%, Cumulative Frequency: 2