Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0
2 answers:
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Answer:
4 2/7
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)
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The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...
... 8, 5, 2, 1, 3, 5, 6
and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...
... 30/7 = 4 2/7
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<em>More about Absolute Deviation from Average</em>
"Absolute" here refers to the absolute value function, which drops the sign of a negative number. The absolute deviation of the data value 0 is ...
... |0 - 8| = |-8| = 8
For 3, it is ...
... |3 - 8| = |-5| = 5
