Questions: Consider the following frequency table representing the scores on a test. Scores on a Test Class Frequency 30-46 11 47-63 15 64-80 13 81-97 4 98-114 12 Choose the interval that contains the score, 61.7. Answer 2 Points 30-46 47-63 64-80 81-97 98-114

Consider the following frequency table representing the scores on a test. Scores on a Test Class Frequency 30-46 11 47-63 15 64-80 13 81-97 4 98-114 12 Choose the interval that contains the score, 61.7. Answer 2 Points 30-46 47-63 64-80 81-97 98-114
Transcript text: Consider the following frequency table representing the scores on a test. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Scores on a Test } \\ \hline Class & Frequency \\ \hline $30-46$ & 11 \\ \hline $47-63$ & 15 \\ \hline $64-80$ & 13 \\ \hline $81-97$ & 4 \\ \hline $98-114$ & 12 \\ \hline \end{tabular} Step 4 of 5: Choose the interval that contains the score, 61.7. Answer 2 Points $30-46$ 47-63 64-80 81-97 $98-114$
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Solution

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Solution Steps

Step 1: Understanding the Frequency Table

The frequency table represents the distribution of scores on a test as follows:

\[ \begin{array}{|c|c|} \hline \text{Class} & \text{Frequency} \\ \hline 30-46 & 11 \\ \hline 47-63 & 15 \\ \hline 64-80 & 13 \\ \hline 81-97 & 4 \\ \hline 98-114 & 12 \\ \hline \end{array} \]

Step 2: Identifying the Score Interval

We need to determine which interval contains the score \(61.7\). The intervals are defined as follows:

  • \(30-46\)
  • \(47-63\)
  • \(64-80\)
  • \(81-97\)
  • \(98-114\)

By evaluating the intervals, we find that \(61.7\) falls within the interval \(47-63\) since:

\[ 47 \leq 61.7 \leq 63 \]

Final Answer

The interval containing the score \(61.7\) is \(\boxed{47-63}\).

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