EXAMPLE 4 Solve a multi-step problem Computers You are buying a new computer and find 10 models in a store advertisement. The prices are $890, $750, $650,

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EXAMPLE 4 Solve a multi-step problem Computers You are buying a new computer and find 10 models in a store advertisement. The prices are $890, $750, $650, $370, $660, $670, $450, $650, $725, and $825. Find the mean of the computer prices. You are willing to pay the mean price with an absolute deviation of at most $100. How many of the computer prices meet your condition ?

EXAMPLE 4 Solve a multi-step problem SOLUTION STEP 1 Find the mean by dividing the sum of the prices by 10. = = 664 Mean =

EXAMPLE 4 Solve a multi-step problem STEP 2 Write and solve an inequality. An absolute deviation of at most $100 from the mean, $664, is given by the inequality x – 664 ≤ 100. Write absolute value inequality. x – 664 ≤ 100 – 100 ≤ x – 664 ≤ 100 Write as compound inequality. 564 ≤ x ≤ 764 Add 664 to each expression.

EXAMPLE 4 Solve a multi-step problem ANSWER The prices you will consider must be at least $564 and at most $764. Six prices meet your condition: $750, $650, $660, $670, $650, and $725.

GUIDED PRACTICE for Example 4 7. WHAT IF? In Example 4, suppose that you are willing to pay the mean price with an absolute deviation of at most $75. How many of the computer prices meet this condition? ANSWER 5 computer prices