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If the mode of the data set 3, 7, 7, 2, 5, 7, 8 is x, what is the value of x?

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Question: If the mode of the data set 3, 7, 7, 2, 5, 7, 8 is x, what is the value of x?

Options:

  1. 2
  2. 3
  3. 7
  4. 8

Correct Answer: 7

Solution: 

Mode is the most frequent value. Here, 7 appears most frequently.

If the mode of the data set 3, 7, 7, 2, 5, 7, 8 is x, what is the value of x?

Practice Questions

Q1
If the mode of the data set 3, 7, 7, 2, 5, 7, 8 is x, what is the value of x?
  1. 2
  2. 3
  3. 7
  4. 8

Questions & Step-by-Step Solutions

If the mode of the data set 3, 7, 7, 2, 5, 7, 8 is x, what is the value of x?
Correct Answer: 7
  • Step 1: Look at the data set: 3, 7, 7, 2, 5, 7, 8.
  • Step 2: Identify how many times each number appears in the data set.
  • Step 3: Count the occurrences: 3 appears 1 time, 7 appears 3 times, 2 appears 1 time, 5 appears 1 time, and 8 appears 1 time.
  • Step 4: Determine which number appears the most often.
  • Step 5: Since 7 appears 3 times, and all other numbers appear less frequently, 7 is the mode.
  • Step 6: Therefore, the value of x (the mode) is 7.
  • Mode – The mode is the value that appears most frequently in a data set.
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