Mateo has the following data: 16, 18, y, 20, 14 If the range is 6, which number could y be? Choices: (A)8 (B)18

Calculate Range: Calculate the range of the given data set. The range is the difference between the maximum and minimum values in the set. Since the range is given as 6, we need to find y such that the difference between the maximum and minimum values of the data set is 6. Identify Values: Identify the current maximum and minimum values in the data set without y. Current values are 16, 18, 20, and 14. The maximum value is 20 and the minimum value is 14. The difference between these two values is 20 - 14 = 6. Determine Possible y: Since the range with the current values (without y) is already 6, y must be a value that does not alter the current range. Therefore, y must be a value between the current minimum (14) and maximum (20) inclusive. Check Choices: Check the given choices for y to see which fits within the range of 14 to 20. The choices are (A) 8 and (B) 18. Only choice (B) 18 fits within this range.

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Mateo has the following data: $\newline$ $16, 18, y, 20, 14$ $\newline$ If the range is $6$ , which number could $y$ be? $\newline$ Choices: $\newline$ $(A)$ $8$ $\newline$ $(B)$ $18$

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Grade 8

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

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Q. Mateo has the following data:

\newline

16, 18, y, 20, 14

\newline

If the range is

6

, which number could

y

be?

\newline

Choices:

\newline

(A)

8

\newline

(B)

18

Calculate Range: Calculate the range of the given data set. The range is the difference between the maximum and minimum values in the set. Since the range is given as $6$ , we need to find $y$ such that the difference between the maximum and minimum values of the data set is $6$ .
Identify Values: Identify the current maximum and minimum values in the data set without $y$ . Current values are $16$ , $18$ , $20$ , and $14$ . The maximum value is $20$ and the minimum value is $14$ . The difference between these two values is $20 - 14 = 6$ .
Determine Possible $y$ : Since the range with the current values (without $y$ ) is already $6$ , $y$ must be a value that does not alter the current range. Therefore, $y$ must be a value between the current minimum ( $14$ ) and maximum ( $20$ ) inclusive.
Check Choices: Check the given choices for $y$ to see which fits within the range of $14$ to $20$ . The choices are (A) $8$ and (B) $18$ . Only choice (B) $18$ fits within this range.