Question

Find the? range, variance, and standard deviation for the given sample data. Include appropriate units in the results.

Listed below are the measured radiation absorption rates? (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of? variation, are the results typical of the population of cell phones that are in? use?

1.46, 0.73, 0.91, 0.98, 1.46, 1.21, 1.24, 0.58, 0.63, 0.55, 0.71

Answer 1

Solution :

Given that 1.46, 0.73, 0.91, 0.98, 1.46, 1.21, 1.24, 0.58, 0.63, 0.55, 0.71

=> The range of data set is = 0.91 W/kg
  
Explanation :-

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

0.55 0.58 0.63 0.71 0.73 0.91 0.98 1.21 1.24 1.46 1.46

The lowest value is 0.55.

The highest value is 1.46.

The range = 1.46 - 0.55 = 0.91 W/kg

=> The variance of the data set is ?^2 = 0.118 W/kg^2

=> The standard deviation of the data set is ? = 0.3435 W/kg