Karen recorded her walking pace in the table below. What equation best represents this relationship? Hours Walked (h)Miles Walke
1 answer:
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Answer:
<em>Proved below</em>
Step-by-step explanation:
<u>System of Equations</u>
There are several ways to solve a system of linear equations. One of the most-used is the method of elimination which consists in adding two or more equations to eliminate one or more variables.
The system shown in the question has evidently no solutions because we have the same variables related in the exact same way in the left side of both equations and a different number as a result of those operations.
To prove the statement, let's multiply the first equation by -1
Adding both equations:
This false result comes from the fact that we tried to solve a system with no solutions. The only way we could have solved it is that both right sides had been equal
Solution:
1. Rome
Minimum=0
Maximum=16
Median ,
Mean = 8
Standard Deviation(σ)=5.4
As, difference between , Maximum -Mean =Mean - Minimum=8
So, Mean will Worthy description to find the center of Data set, given about Rome.
2. New York
Minimum=1
Maximum=20
Median ,
Mean = 7.25
Standard Deviation(σ)=6.1
As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.
As, you can see , the three Quartiles , are very close to each other, it means , other data values are quite apart from each other. So, Mean will not appropriately describe the given data.So, in this case Median will suitable to find the center.
Option (B): The Rome data center is best described by the mean. The New York data center is best described by the median.