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Santiago has the following data: $\newline$ $r, 1, 1, 1, 1$ $\newline$ If the range is $2$ , which number could $r$ be? $\newline$ Choices: $\newline$ $(A)$ $10$ $\newline$ $(B)$ $3$

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

Full solution

Q. Santiago has the following data:

\newline

r, 1, 1, 1, 1

\newline

If the range is

2

, which number could

r

be?

\newline

Choices:

\newline

(A)

10

\newline

(B)

3

Arrange Data Set: Arrange the given data set including $r$ in ascending order if possible. Since we don't know $r$ yet, we consider the existing numbers: $1, 1, 1, 1$ .
Understand Range: Understand the definition of range. Range is the difference between the maximum and minimum values in the data set. Given range is $2$ .
Calculate Possible Values: Calculate possible values for $r$ . To have a range of $2$ , $r$ must be either $2$ more or $2$ less than the existing numbers. Since all existing numbers are $1$ , $r$ could be $-1$ or $3$ .
Check Given Choices: Check the choices given: (A) $10$ (B) $3$ . From our calculation, $r$ could be $3$ .

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