Question

The average temperature in Columbus in spring is 50 degrees Fahrenheit with standard deviation 5 degrees Fahrenheit. What is the new standard deviation if we change to Centigrade

Answer 1

To convert the temperature from Fahrenheit to Celsius, use the formula C = (F - 32) × 5/9. The new standard deviation in Celsius is approximately 2.78 degrees Celsius.

Step-by-step explanation:

To convert the temperature from Fahrenheit to Celsius, we can use the formula: C = (F - 32) × 5/9. The new average temperature in Celsius would be 10 degrees Celsius, which is equivalent to 50 degrees Fahrenheit. To find the new standard deviation, we can use the formula: SDC = (SDF × 5/9), where SDC is the new standard deviation in Celsius and SDF is the standard deviation in Fahrenheit. Plugging in the values, we get SDC = (5 × 5/9) = 2.78 degrees Celsius. Therefore, the new standard deviation in Celsius is approximately 2.78 degrees Celsius.

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