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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.
10
12
15
20
Questions & Step-by-Step Solutions
Find the mode of the following set of numbers: 10, 12, 10, 15, 10, 20, 15, 15.
Steps
Concepts
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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