Joy has the following data: 9, m, 19, 4, 3 If the median is 9, which number could m be? Choices: (A)1 (B)20

Understand Problem and Data: Step 1: Understand the problem and the data given. We have the numbers: 9, m, 19, 4, 3 and the median is 9. We need to find the possible value of m from the choices given.Arrange Numbers in Order: Step 2: Arrange the numbers in ascending order to find the median. Since the median is 9, and there are 5 numbers, 9 must be the third number in the sorted list. The list sorted without m known yet is 3, 4, 9, 19, with m needing to fit in such a way that 9 remains the median.Determine Placement of m: Step 3: Determine where m can fit in the list. If m is less than 9, it must be either less than or equal to 4 to keep 9 as the median. If m is greater than 9, it must be greater than or equal to 19 to maintain the order.Check Given Choices: Step 4: Check the given choices for m. Choice (A) 1: Placing m = 1, the order is 1, 3, 4, 9, 19. Median is still 9. Choice (B) 20: Placing m = 20, the order is 3, 4, 9, 19, 20. Median is still 9. Both choices keep 9 as the median.

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Joy has the following data: $\newline$ $9, m, 19, 4, 3$ $\newline$ If the median is $9$ , which number could $m$ be? $\newline$ Choices: $\newline$ (A) $1$ $\newline$ (B) $20$

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Grade 6

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

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Q. Joy has the following data:

\newline

9, m, 19, 4, 3

\newline

If the median is

9

, which number could

m

be?

\newline

Choices:

\newline

(A)

1

\newline

(B)

20

Understand Problem and Data: Step $1$ : Understand the problem and the data given. $\newline$ We have the numbers: $9$ , $m$ , $19$ , $4$ , $3$ and the median is $9$ . We need to find the possible value of $m$ from the choices given.
Arrange Numbers in Order: Step $2$ : Arrange the numbers in ascending order to find the median. Since the median is $9$ , and there are $5$ numbers, $9$ must be the third number in the sorted list. The list sorted without $m$ known yet is $3, 4, 9, 19$ , with $m$ needing to fit in such a way that $9$ remains the median.
Determine Placement of $m$ : Step $3$ : Determine where $m$ can fit in the list. $\newline$ If $m$ is less than $9$ , it must be either less than or equal to $4$ to keep $9$ as the median. If $m$ is greater than $9$ , it must be greater than or equal to $19$ to maintain the order.
Check Given Choices: Step $4$ : Check the given choices for $m$ . $\newline$ Choice (A) $1$ : Placing $m = 1$ , the order is $1, 3, 4, 9, 19$ . Median is still $9$ . $\newline$ Choice (B) $20$ : Placing $m = 20$ , the order is $3, 4, 9, 19, 20$ . Median is still $9$ . $\newline$ Both choices keep $9$ as the median.