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Look at this set of $8$ numbers: $\newline$ $31, 23, 52, 25, 49, 50, 64, 47$ $\newline$ How would the range change if the number $26$ replaced the number $52$ in the set? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease $\newline$ (C)no change

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One-step inequalities: word problems

Full solution

Q. Look at this set of

8

numbers:

\newline

31, 23, 52, 25, 49, 50, 64, 47

\newline

How would the range change if the number

26

replaced the number

52

in the set?

\newline

Choices:

\newline

(A)increase

\newline

(B)decrease

\newline

(C)no change

Calculate Range: Calculate the current range of the set: $31, 23, 52, 25, 49, 50, 64, 47$ . The range is the difference between the maximum and minimum values in the set.
Replace Number and Find Extremes: Replace the number $52$ with $26$ and find the new maximum and minimum values.
Calculate New Range: Calculate the new range with the updated set.
Compare Original and New Range: Compare the original range with the new range to determine how the range has changed.

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