Using data collected from 1981 to 2010 for Ann Arbor, MI (GO BLUE!), the average “high” temperature for days in July has a mean of 28.9° Celsius with a standard deviation of 3.3° Celsius. What are the mean and standard deviation if the temperatures are converted to degrees Fahrenheit?

Respuesta :

Answer:

Mean is 84.02°F, Standard deviation is 5.94°F.

Explanation:

The mean and standard deviation if the temperatures are converted to degrees Fahrenheit will be "84.02°F and "5.94°F".

Mean and Standard deviation

According to the question,

In July,

Mean = 28.9°

Standard deviation = 3.3°

We know the relation,

→ Fahrenheit = 1.8 × Celcius + 32

The Mean will be:

= 1.8 Ă— 28.9 + 32

= 52.02 + 32

= 84.02°F

and,

The Standard deviation will be:

= 3.3 Ă— 1.8 + 0

= 5.94 + 0

= 5.94°F

Thus the above answer is correct.

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