In the set {5, 5, 6, 7, 8, 8, 9}, which number is the mode?

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Question: In the set {5, 5, 6, 7, 8, 8, 9}, which number is the mode?

Options:

Correct Answer: 5

Solution:

The mode is 5, as it appears 2 times, while 8 also appears 2 times. However, 5 is the smallest mode.

In the set {5, 5, 6, 7, 8, 8, 9}, which number is the mode?

In the set {5, 5, 6, 7, 8, 8, 9}, which number is the mode?

Step 1: Look at the set of numbers: {5, 5, 6, 7, 8, 8, 9}.
Step 2: Count how many times each number appears in the set.
Step 3: The number 5 appears 2 times.
Step 4: The number 6 appears 1 time.
Step 5: The number 7 appears 1 time.
Step 6: The number 8 appears 2 times.
Step 7: The number 9 appears 1 time.
Step 8: Identify the number(s) that appear the most times. Here, both 5 and 8 appear 2 times.
Step 9: Since there are two modes (5 and 8), choose the smallest one.
Step 10: The smallest mode is 5.

Mode – The mode is the number that appears most frequently in a set of numbers.
Multiple Modes – A set can have more than one mode if multiple numbers appear with the same highest frequency.
Smallest Mode – When multiple modes exist, the smallest mode may be considered in certain contexts.