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In September, Seattle’s daily high temperature has a mean of 70 degrees Fahrenheit and a standard deviation of 7 degrees Fahrenheit. What are the mean, standard deviation, and variance in degrees Celsius?

Answer :

The mean temperature in degrees Celsius is 21.1, the standard deviation is 3.89 degrees Celsius, and the variance is 15.12 degrees Celsius squared.

To convert the temperature from Fahrenheit to Celsius, we use the formula: C = (F - 32) x 5/9.

First, let's convert the mean temperature from Fahrenheit to Celsius:
C = (70 - 32) x 5/9 = 21.1 degrees Celsius

Next, let's convert the standard deviation from Fahrenheit to Celsius:
C = (7) x 5/9 = 3.89 degrees Celsius

To calculate the variance in Celsius, we use the formula: variance = standard deviation^2
variance = (3.89)^2 = 15.12 degrees Celsius squared

Therefore, the mean temperature in degrees Celsius is 21.1, the standard deviation is 3.89 degrees Celsius, and the variance is 15.12 degrees Celsius squared.

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