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Concept explainers
a.
To calculate: The mean of deepest points of the Great Lakes.
a.
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Answer to Problem 47PPS
The mean of deepest points of the Great Lakes is −244.8 .
Explanation of Solution
Given information:
The table that shows the deepest point of Great Lakes.
Great LakeDeepestPoint(m)Erie−64Huron−229Michigan−281Ontario−244Superior−406
Formula used:
Mean of n numbers is calculated as sum of n terms divided by number of terms.
Calculation:
Consider the given table,
Great LakeDeepestPoint(m)Erie−64Huron−229Michigan−281Ontario−244Superior−406
Recall that mean of n numbers is calculated as sum of n terms divided by number of terms.
Apply it,
Mean=−64+(−229)+(−281)+(−244)+(−406)5=−12245=−244.8
Thus, mean of the deepest points of Great lakes is −244.8 .
b.
To calculate: The new mean if each of the deepest points were 10 meters higher and compare it with mean calculated in part (a).
b.
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Answer to Problem 47PPS
The new mean of the deepest points of Great lakes is −234.8 and −234.8>−244.8 .
Explanation of Solution
Given information:
The table that shows the deepest point of Great Lakes.
Great LakeDeepestPoint(m)Erie−64Huron−229Michigan−281Ontario−244Superior−406
Formula used:
Mean of n numbers is calculated as sum of n terms divided by number of terms.
Calculation:
Consider the given table,
Great LakeDeepestPoint(m)Erie−64Huron−229Michigan−281Ontario−244Superior−406
Since, each of the deepest points have to be higher by 10 points, so, new deepest points will be calculated as,
Great LakeDeepestPoint(m)Erie−64+10=−54Huron−229+10=−219Michigan−281+10=−271Ontario−244+10=−234Superior−406+10=−396
Recall that mean of n numbers is calculated as sum of n terms divided by number of terms.
So, the new mean will be calculated as,
Mean=−54+(−219)+(−271)+(−234)+(−396)5=−11745=−234.8
Since, −234.8 is greater than −244.8 , so, new mean is greater than previous one −234.8>−244.8 .
Thus, new mean of the deepest points of Great lakes is −234.8 and −234.8>−244.8 .
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Pre-Algebra, Student Edition
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