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 $60.

Select which inequalities represent the prices you are willing to pay.

Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445



x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370

Answer 1

250 < x < 370

Explanation:

From the given bicycle prices, we first calculate the mean.

Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)

Mean = ⅛(2480)

Mean = $310

Next, is to determine the amount willing to pay using.

Amount = Mean ± Absolute Deviation

Amount = $310 ± $60

This can split as follows

Amount = $310 + $60 or Amount = $310 - $60

Amount = $370 or $250

Represent as an inequality, we have:

250 < x < 370