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Myra has the following data: $\newline$ $11, 4, u, 5, 2, 9$ $\newline$ If the range is $9$ , which number could $u$ be? $\newline$ Choices: $\newline$ $(A)$ $13$ $\newline$ $(B)$ $11$

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

Full solution

Q. Myra has the following data:

\newline

11, 4, u, 5, 2, 9

\newline

If the range is

9

, which number could

u

be?

\newline

Choices:

\newline

(A)

13

\newline

(B)

11

Arrange Data in Ascending Order: Arrange the given data excluding $u$ in ascending order: $2, 4, 5, 9, 11$ .
Calculate Current Range: Calculate the current range without ＂u＂: $11 - 2 = 9$ .
Maintain Range with $u$ : Since the range must remain $9$ , $\text{“}u\text{”}$ must not increase or decrease the current range.
Check $u = 13$ Impact: Check if $u = 13$ affects the range: New range would be $13 - 2 = 11$ , which is not equal to $9$ .
Check $u = 11$ Impact: Check if $u = 11$ affects the range: Since $11$ is already in the data, adding another $11$ doesn't change the range.

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