Questions: A class of 20 students have one week to complete a math assignment of 30 questions. At the end of the first day, the students had completed the following number of questions: 5,7,4,6,1,8,9,4,4,5,10,4,6,5,3,6,5,6,0,2 How many modes are in the given data set? 3 2 5 4

A class of 20 students have one week to complete a math assignment of 30 questions. At the end of the first day, the students had completed the following number of questions: 5,7,4,6,1,8,9,4,4,5,10,4,6,5,3,6,5,6,0,2 How many modes are in the given data set? 3 2 5 4
Transcript text: A class of 20 students have one week to complete a math assignment of 30 questions. At the end of the first day, the students had completed the following number of questions: \[ 5,7,4,6,1,8,9,4,4,5,10,4,6,5,3,6,5,6,0,2 \] How many modes are in the given data set? 3 2 5 4
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Solution

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Solution Steps

Step 1: Organize the data

The given data set is: \[ 5,7,4,6,1,8,9,4,4,5,10,4,6,5,3,6,5,6,0,2 \]

Step 2: Count the frequency of each number

Count how many times each number appears in the data set:

  • 0 appears 1 time
  • 1 appears 1 time
  • 2 appears 1 time
  • 3 appears 1 time
  • 4 appears 4 times
  • 5 appears 4 times
  • 6 appears 4 times
  • 7 appears 1 time
  • 8 appears 1 time
  • 9 appears 1 time
  • 10 appears 1 time
Step 3: Identify the mode(s)

The mode is the number that appears most frequently in the data set. Here, the numbers 4, 5, and 6 each appear 4 times, which is the highest frequency. Therefore, there are 3 modes in the data set.

Final Answer

\(\boxed{3}\)

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