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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