Group frequency table

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

let's create a grouped frequency table for the scores.

  1. Identify the range of scores and choose class intervals.

    The lowest score is 10 and the highest score is 50. We will use class intervals of width 10 to group the scores.

  2. Define the class intervals.

    We will use the following intervals:

    • 10 - 19
    • 20 - 29
    • 30 - 39
    • 40 - 49
    • 50 - 59
  3. Count the frequency for each class interval.

    We go through the list of scores ($10, 10, 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 50, 50$) and count how many fall into each interval.

    • 10 - 19: Scores are $10, 10, 10$. Frequency = 3.
    • 20 - 29: Scores are $20, 20, 20$. Frequency = 3.
    • 30 - 39: Scores are $30, 30, 30, 30, 30$. Frequency = 5.
    • 40 - 49: Scores are $40, 40, 40$. Frequency = 3.
    • 50 - 59: Scores are $50, 50$. Frequency = 2.
  4. Construct the grouped frequency table.

    Score IntervalFrequency10−19320−29330−39540−49350−592Total16\begin{array}{|c|c|} \hline \textbf{Score Interval} & \textbf{Frequency} \\ \hline 10 - 19 & 3 \\ 20 - 29 & 3 \\ 30 - 39 & 5 \\ 40 - 49 & 3 \\ 50 - 59 & 2 \\ \hline \textbf{Total} & \textbf{16} \\ \hline \end{array}

    This is the grouped frequency table.

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