Zachary has the following data: 16, 18, 20, v, 16 If the median is 18, which number could v be? Choices: (A)20 (B)14

Arrange Data in Ascending Order: Arrange the data set in ascending order to find the median. Since there are 5 numbers, the median will be the third number when arranged in order. Identify Median Value: Since the median is given as 18, the third number in this ordered list must be 18. The list becomes 16, 16, 18, 20, v. Determine Possible Values for v: To maintain the median at 18, v must be a number greater than or equal to 20. Check Given Choices: Check the choices given: (A) 20 (B) 14. Since v must be greater than or equal to 20, the only possible choice is 20.

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Zachary has the following data: $\newline$ $16, 18, 20, v, 16$ $\newline$ If the median is $18$ , which number could $v$ be? $\newline$ Choices: $\newline$ $(A)$ $20$ $\newline$ $(B)$ $14$

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Math Problems

Grade 8

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

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Q. Zachary has the following data:

\newline

16, 18, 20, v, 16

\newline

If the median is

18

, which number could

v

be?

\newline

Choices:

\newline

(A)

20

\newline

(B)

14

Arrange Data in Ascending Order: Arrange the data set in ascending order to find the median. Since there are $5$ numbers, the median will be the third number when arranged in order.
Identify Median Value: Since the median is given as $18$ , the third number in this ordered list must be $18$ . The list becomes $16, 16, 18, 20, v$ .
Determine Possible Values for $v$ : To maintain the median at $18$ , $v$ must be a number greater than or equal to $20$ .
Check Given Choices: Check the choices given: $(A) \, 20$ $(B) \, 14$ . Since $v$ must be greater than or equal to $20$ , the only possible choice is $20$ .