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Temperature data were recorded in degrees Celsius for a certain community in Eng

ID: 3204740 • Letter: T

Question

Temperature data were recorded in degrees Celsius for a certain community in England. The data were converted to degrees Fahrenheit using the formula, Degrees Fahrenheit = 9/5 (Degrees Celsius) +32. Which of the following is NOT true about the transformed data? (A) The mean of the transformed data in degrees Fahrenheit equals 9/5 (mean in degrees Celsius) + 32. (B) The median of the transformed data in degrees Fahrenheit equals (median in degrees Celsius) + 32. (C) The variance of the transformed data in degrees Fahrenheit equals (variance in degrees Celsius). (D) The standard deviation of the transformed data in degrees Fahrenheit equals 9 (standard deviation in degrees Celsius). (E) The range of the transformed data in degrees Fahrenheit equals 9/5 (range in degrees Celsius).

Explanation / Answer

statement A , B, D,E are true

Statement C is not true, variance is the square of S.D. therefore it will be (9/5)2 times the variance in degree Celsius.

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