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Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.

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Question: Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.

Options:

  1. 10
  2. 12
  3. 15
  4. 20

Correct Answer: 15

Solution:

The number 10 appears 3 times and 15 appears 3 times. Since both have the highest frequency, the mode is 10 and 15 (bimodal). However, if only one mode is required, we can take the first one, which is 10.

Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.

Practice Questions

Q1
Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.
  1. 10
  2. 12
  3. 15
  4. 20

Questions & Step-by-Step Solutions

Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.
  • Step 1: Write down the set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.
  • Step 2: Count how many times each number appears in the set.
  • Step 3: For the number 10, it appears 3 times.
  • Step 4: For the number 12, it appears 1 time.
  • Step 5: For the number 15, it appears 3 times.
  • Step 6: For the number 20, it appears 1 time.
  • Step 7: Compare the counts: 10 appears 3 times, 15 appears 3 times, and the others appear less.
  • Step 8: Since both 10 and 15 have the highest frequency (3 times), they are both modes.
  • Step 9: If only one mode is needed, choose the first one, which is 10.
  • Mode – The mode is the value that appears most frequently in a data set.
  • Bimodal Distribution – A data set is bimodal if it has two values that appear with the highest frequency.
  • Selection of Mode – When multiple modes exist, the problem may require selecting one based on a specific criterion.
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