Middle School

Five recorded temperatures are 71 degrees Fahrenheit, 64 degrees Fahrenheit, 72 degrees Fahrenheit, 81 degrees Fahrenheit, and 67 degrees Fahrenheit.

What is the mean deviation?

Answer :

The mean deviation of the temperatures 71, 64, 72, 81, and 67°F is calculated by first finding the mean temperature, then the deviations for each temperature, and lastly averaging these deviations, resulting in a mean deviation of 4.4°F.

The question asks to calculate the mean deviation of a set of five temperatures: 71°F, 64°F, 72°F, 81°F, and 67°F. To find the mean deviation, first calculate the mean (average) temperature by adding all the temperatures together and dividing by the number of temperatures. Then, subtract the mean from each individual temperature to find the deviations. Average these deviations (ignoring any negative signs) to get the mean deviation.

The mean temperature is (71+64+72+81+67) / 5 = 71°F. The deviations are |71-71|=0, |64-71|=7, |72-71|=1, |81-71|=10, and |67-71|=4. The mean deviation is (0+7+1+10+4) / 5 = 4.4°F.