Aaron has the following data: 11, 1, r, 6, 5 If the mode is 5, which number could r be? Choices: (A)6 (B)5

Understand the problem: Step 1: Understand the problem and identify what is asked. We need to find the value of r such that the mode of the dataset 11, 1, r, 6, 5 remains 5. The mode is the number that appears most frequently in a dataset.Analyze choices: Step 2: Analyze the given choices for r. Choices are: (A) 6 (B) 5 Since the mode is the number that appears most frequently, r must be a number that does not change the mode of the dataset.Check r = 6: Step 3: Check if r = 6 affects the mode. If r = 6, the dataset becomes 11, 1, 6, 6, 5. Here, both 6 and 5 appear twice. This would mean there are two modes, which is not allowed as per the problem statement that specifies the mode must be 5.Check r = 5: Step 4: Check if r = 5 affects the mode. If r = 5, the dataset becomes 11, 1, 5, 6, 5. Here, 5 appears three times, making it the clear mode of the dataset.

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Aaron has the following data: $\newline$ $11, 1, r, 6, 5$ $\newline$ If the mode is $5$ , which number could $r$ be? $\newline$ Choices: $\newline$ $(A)$ $6$ $\newline$ $(B)$ $5$

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Grade 6

Mean, median, mode, and range: find the missing number

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Q. Aaron has the following data:

\newline

11, 1, r, 6, 5

\newline

If the mode is

5

, which number could

r

be?

\newline

Choices:

\newline

(A)

6

\newline

(B)

5

Understand the problem: Step $1$ : Understand the problem and identify what is asked. $\newline$ We need to find the value of $r$ such that the mode of the dataset $11, 1, r, 6, 5$ remains $5$ . The mode is the number that appears most frequently in a dataset.
Analyze choices: Step $2$ : Analyze the given choices for $r$ . Choices are: (A) $6$ (B) $5$ Since the mode is the number that appears most frequently, $r$ must be a number that does not change the mode of the dataset.
Check $r = 6$ : Step $3$ : Check if $r = 6$ affects the mode. $\newline$ If $r = 6$ , the dataset becomes $11, 1, 6, 6, 5$ . Here, both $6$ and $5$ appear twice. This would mean there are two modes, which is not allowed as per the problem statement that specifies the mode must be $5$ .
Check $r = 5$ : Step $4$ : Check if $r = 5$ affects the mode. $\newline$ If $r = 5$ , the dataset becomes $11, 1, 5, 6, 5$ . Here, $5$ appears three times, making it the clear mode of the dataset.