Questions: The measure of center that is the value that occurs with the greatest frequency is the mode.

The measure of center that is the value that occurs with the greatest frequency is the mode.
Transcript text: The measure of center that is the value that occurs with the greatest frequency is the $\square$ mode.
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Solution

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Solution Steps

To determine the measure of center that occurs with the greatest frequency, we need to identify the mode. The mode is the value that appears most frequently in a data set.

Step 1: Identify the Measure of Center

The measure of center that occurs with the greatest frequency in a data set is known as the mode. The mode is the value that appears most frequently among the data points.

Step 2: Analyze the Data Set

Given the data set: \([1, 2, 2, 3, 4, 4, 4, 5]\), we need to determine which value appears most frequently.

Step 3: Determine the Mode

Count the frequency of each value in the data set:

  • \(1\) appears once.
  • \(2\) appears twice.
  • \(3\) appears once.
  • \(4\) appears three times.
  • \(5\) appears once.

The value \(4\) appears most frequently, with a frequency of three.

Final Answer

The measure of center that occurs with the greatest frequency is the mode. Therefore, the answer is \(\boxed{\text{mode}}\).

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