The following statement is true with the given values of median and range.
The temperature in Carlton was always cooler than in Borden.
Median and range
The median is the middle number in a sorted ascending or descending list of numbers. The range is the difference between any two numbers.
How to find the median and the range?
Check the trueness of each statement with the given table.
- First statement-The daily low temperatures for the two cities were[tex]70^{0}F[/tex] and [tex]83^{0}F[/tex].
Lowest temperature over a week [tex]=[/tex] Median - Range
Thus, for Carlton, it is [tex](75-5)=70^{0}F[/tex] and for Borden it is [tex](88-5)=83^{0}F[/tex]
So, this statement is not true.
- Second statement-Borden of at least one daily high temperature of [tex]98^{0}F[/tex]
At least one daily high-temperature [tex]=[/tex] Median + Range
For Borden, it is [tex](88+5)=93^{0}F[/tex]
So, 2nd statement is not true.
- Third statement-Temperature in Carlton was always cooler than in Borden.
For Carlton, at least one daily highest temperature (75+5)=[tex]80^{0}F[/tex]
For Borden, at least one daily lowest temperature [tex](88-5)=83^{0}F[/tex]
Borden's lowest temperature [tex]83^{0}F[/tex] was even more than Carlton's highest temperature [tex]80^{0}F[/tex].
So, the 3rd statement is true.
- Fourth statement-The difference between the daily high temperature for the two cities was [tex]13^{0}F[/tex].
If the high temperature for Carlton for one day is [tex]80^{0}F[/tex] and for Borden [tex]83^{0}F[/tex], which is within the given range, then the difference is only [tex]3^{0}F[/tex].
So, the 4th statement is also not true.
Hence, the temperature of Carlton was always cooler than in Borden is the true statement.
Learn more about the median and the range here-
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