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Jeffrey has the following data: $\newline$ $2, 1, 5, a, 1$ $\newline$ If the range is $4$ , which number could $a$ be? $\newline$ Choices: $\newline$ $(A)$ $1$ $\newline$ $(B)$ $17$

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

Full solution

Q. Jeffrey has the following data:

\newline

2, 1, 5, a, 1

\newline

If the range is

4

, which number could

a

be?

\newline

Choices:

\newline

(A)

1

\newline

(B)

17

Identify Data Range: Step $1$ : Identify the range of the given data set $2, 1, 5, a, 1$ and understand the range formula.
Calculate Max and Min: Step $2$ : Calculate the current maximum and minimum values from the known numbers in the data set.
Find Possible Value: Step $3$ : Use the given range of $4$ to find the possible value of $a$ .
Check Impact of ' extit{a}': Step extit{ $4$ }: Check if adding ' extit{a}' changes the maximum or minimum values in the data set.
Compare Possible Values: Step $5$ : Compare the possible values of $a$ with the choices given.

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