If the median of the data set 2, 3, 5, 7, 9 is 5, what is the mode of the data s

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Question: If the median of the data set 2, 3, 5, 7, 9 is 5, what is the mode of the data set 2, 3, 3, 5, 7, 9?

Options:

Correct Answer: 3

Solution:

Mode is the number that appears most frequently. Here, 3 appears twice, so mode = 3.

If the median of the data set 2, 3, 5, 7, 9 is 5, what is the mode of the data set 2, 3, 3, 5, 7, 9?

If the median of the data set 2, 3, 5, 7, 9 is 5, what is the mode of the data set 2, 3, 3, 5, 7, 9?

Step 1: Understand what mode means. Mode is the number that appears most frequently in a data set.
Step 2: Look at the data set given: 2, 3, 3, 5, 7, 9.
Step 3: Count how many times each number appears in the data set.
Step 4: The number 2 appears 1 time.
Step 5: The number 3 appears 2 times.
Step 6: The number 5 appears 1 time.
Step 7: The number 7 appears 1 time.
Step 8: The number 9 appears 1 time.
Step 9: Identify which number appears the most. Here, 3 appears the most (2 times).
Step 10: Conclude that the mode of the data set is 3.

Median – The median is the middle value of a data set when it is ordered from least to greatest.
Mode – The mode is the value that appears most frequently in a data set.