Use the body temperatures, in degrees Fahrenheit, listed in the accompanying tab

Question

Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is 2.9 Fareinheight. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places, 0.68 F, assuming the goal is to approximate the standard deviation within 0.2 F.
The estimated standard deviation is what %?

98.2 98.3 97.8 97.5 99.5 98.5 98.3 98.6 98.3 98.2 98.8 98.4 98.3 97.4 96.7 98.4 97.6 97.5 98.9 98.2 98.3 98.8 98.1 97.5 98.8 97.8 98.5 98.7 99 97.2 97.6 97.3 97.9 99.4 98.8 99 98.2 98.5 98.4 98.4 97 98.2 99 97.9 98 98.2 97.9 98.5 98.9 98.7 97.3 98.9 96.8 97.5 97.9 96.7 97.3 96.8 97.7 98.2 97.6 97.8 97.2 97.5 98.6 98.9 99.3 99.2 97.9 98.1 96.6 97.9 99.2 98.2 98.5 98.5 98.7 98.3 98.3 98.4 99.2 99.3 99.1 97.6 99 98.3 99 98.4 99.3 98.1 98.9 96.9 98.1 98.3 99.2 97.6 97.8 99.4 98.2 98.1 97.9 97.7 98.5 97.1 98.5 97.5

Explanation / Answer

According to range rule of thumb, the standard deviation, s=R/4, where, R is range [Maximum-Minimum], and s is standard deviation.

s=2.9/4=0.725~0.73

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