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Question
question 2 of 10, step 1 of 1
find the number of modes, if any, in the following set of data. if a mode exists, also give the value of the mode.
87, 91, 72, 47, 85, 25, 8
answer
choose the correct number of modes.
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Step1: Define Mode
The mode is the value that appears most frequently in a data set. If all values appear with the same frequency, there is no mode (or the number of modes is 0).
Step2: Analyze Data Frequency
The data set is \( \{87, 91, 72, 47, 85, 25, 8\} \). Let's count the frequency of each number:
- \( 87 \): appears 1 time
- \( 91 \): appears 1 time
- \( 72 \): appears 1 time
- \( 47 \): appears 1 time
- \( 85 \): appears 1 time
- \( 25 \): appears 1 time
- \( 8 \): appears 1 time
Since every number in the data set appears exactly once (same frequency), there are no modes.
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