Question

You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation of at most $50. Select which inequalities represent the prices you are willing to pay.
Bicycle prices
$300 $250 $190 $400
$225 $170 $220 $325

Answer 1

Answer:

The set of values is:

{$300, $250, $190, $400,  $225, $170, $220, $325}

So we have 8 prices.

Then the mean price will be:

M = ($300 + $250 + $190 +  $400 +  $225 +  $170 +  $220 +  $325)/8 = $260.

And we know that:

"You are willing to pay the mean price with an absolute deviation of at most $50."

Then the maximum that you would pay is:

Max = $260 + $50 = $310.

And the minimum is:

Min = $260 - $50 = $210

Then the inequality that represents what you are willing to pay is:

$210 ≤ x ≤ $310