High School

The recorded temperatures in a country during a period of 4 days were 29 degrees Celsius, 28 degrees Celsius, 25 degrees Celsius, and 26 degrees Celsius. Another country recorded temperatures of 25 degrees Celsius, 30 degrees Celsius, 27 degrees Celsius, and 24 degrees Celsius. Which country had an average temperature that was colder?

Answer :

The country with an average temperature of 26.5 degrees Celsius was colder.

How to calculate the mean of any data set?

In Mathematics and Statistics, the mean or average for any set of data can be calculated by using the following formula:

Mean, = ∑x/n

Where:

  • ∑x represents the sum of all data values.
  • n represents the total number of data items.

Based on the information provided, the mean of the first country can be calculated as follows;

[tex]Mean = \frac{29+28+25+26}{4} \\\\Mean = \frac{108}{4}[/tex]

Mean = 27 degrees Celsius.

For the other country, we have:

[tex]Mean = \frac{25+30+27+24}{4} \\\\Mean = \frac{106}{4}[/tex]

Mean = 26.5 degrees Celsius.

Since the second country as a lower temperature, it has an average temperature that was colder.

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Country B has the lower Temperature value, it is the colder of the two countries.

Average Temperature of Country A :

  • (29+28+25+26)/4

Average = 108/4 = 27

Average Temperature of Country B :

(25+30+27+24)/4

Average = 106/4 = 26.5

The lower the temperature value , the colder the region. Hence, Country B is colder .

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