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Answer :
To create a tally table and a frequency table for the given data set of test marks, we'll follow these steps:
First, we'll organize the data in ascending order:
5, 6, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 14, 15, 15, 16
Step 1: Tally Table
We'll use the tally marks to count how many times each score appears.
ScoreTally5678910111213141516
Step 2: Frequency Table
Next, we'll convert the tally into a frequency table, explicitly listing the number of times each score occurs.
ScoreFrequency5161718293102112123136141152161
These tables help us understand the distribution of scores among the students. The tally table makes it easier to visualize and quickly count occurrences, while the frequency table gives us a clear numeric representation of these occurrences.
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