Questions: At a carnival, one game involves guessing the number of marbles in a plastic jar. The following data represents the guesses that people made during one hour at the carnival. Complete the frequency table for this data. 1333,1206,1293,1464,1416,1188,1178,1165,1408,1090,1102,1357,1053,1185,1317,1409 Determine the frequency of each class in the table shown. Number of Marbles in a Plastic Jar Class Frequency 1047-1116 1117-1186 1187-1256 1257-1326

At a carnival, one game involves guessing the number of marbles in a plastic jar. The following data represents the guesses that people made during one hour at the carnival. Complete the frequency table for this data. 1333,1206,1293,1464,1416,1188,1178,1165,1408,1090,1102,1357,1053,1185,1317,1409 Determine the frequency of each class in the table shown. Number of Marbles in a Plastic Jar Class Frequency 1047-1116 1117-1186 1187-1256 1257-1326
Transcript text: At a carnival, one game involves guessing the number of marbles in a plastic jar. The following data represents the guesses that people made during one hour at the carnival. Complete the frequency table for this data. \[ 1333,1206,1293,1464,1416,1188,1178,1165,1408,1090,1102,1357,1053,1185,1317,1409 \] Determine the frequency of each class in the table shown. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} Number of Marbles in a Plastic \\ Jar \end{tabular}} \\ \hline Class & Frequency \\ \hline $1047-1116$ & \\ \hline $1117-1186$ & \\ \hline $1187-1256$ & \\ \hline $1257-1326$ & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify Class Ranges

The class ranges identified for categorization are:

  • 1047 to 1116
  • 1117 to 1186
  • 1187 to 1256
  • 1257 to 1326
Step 2: Sort Data Points

The sorted data points are: [1053, 1090, 1102, 1165, 1178, 1185, 1188, 1206, 1293, 1317, 1333, 1357, 1408, 1409, 1416, 1464]

Step 3: Categorize Data Points and Count Frequencies

Each data point is categorized into the corresponding class range based on its value.

Step 4: Fill in the Frequency Table

The frequency table is filled as follows: Range 1047-1116: 3 data points Range 1117-1186: 3 data points Range 1187-1256: 2 data points Range 1257-1326: 2 data points

Assumptions
  1. Class ranges do not overlap.
  2. Class ranges are treated as inclusive of the lower bound and exclusive of the upper bound.
  3. All data points can be categorized into one of the provided class ranges.
  4. Data points are discrete values.

Final Answer:

The completed frequency table is: Range 1047-1116: 3 data points Range 1117-1186: 3 data points Range 1187-1256: 2 data points Range 1257-1326: 2 data points

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