Questions: Question 8 Provide an appropriate response. The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. Scores Frequency 0-60 2 61-70 8 71-80 9 81-90 6 91-100 5

Question 8 Provide an appropriate response. The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. Scores Frequency 0-60 2 61-70 8 71-80 9 81-90 6 91-100 5
Transcript text: Question 8 Provide an appropriate response. The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. \begin{tabular}{c|c} Scores & Frequency \\ \hline $0-60$ & 2 \\ $61-70$ & 8 \\ $71-80$ & 9 \\ $81-90$ & 6 \\ $91-100$ & 5 \end{tabular}
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Solution

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Solution Steps

Step 1: Calculate Total Frequency
  • Add up all the frequencies to find the total number of scores.
  • Total frequency = \(2 + 8 + 9 + 6 + 5\).
Step 2: Compute Relative Frequencies
  • For each score range, divide the frequency by the total frequency to find the relative frequency.
  • Relative frequency for 0-60 = \(\frac{2}{\text{Total frequency}}\).
  • Relative frequency for 61-70 = \(\frac{8}{\text{Total frequency}}\).
  • Relative frequency for 71-80 = \(\frac{9}{\text{Total frequency}}\).
  • Relative frequency for 81-90 = \(\frac{6}{\text{Total frequency}}\).
  • Relative frequency for 91-100 = \(\frac{5}{\text{Total frequency}}\).
Step 3: Convert to Percentage
  • Multiply each relative frequency by 100 to convert it to a percentage.
  • Round each percentage to the nearest hundredth of a percent if necessary.

Final Answer

The relative frequency distribution is as follows:

  • 0-60: \( \boxed{3.85\%} \)
  • 61-70: \( \boxed{15.38\%} \)
  • 71-80: \( \boxed{17.31\%} \)
  • 81-90: \( \boxed{11.54\%} \)
  • 91-100: \( \boxed{9.62\%} \)
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