Step 1 :Given the radiation emissions (in W/kg) for cell phones A to K are: 0.58, 1.59, 1.55, 1.06, 0.83, 0.52, 1.31, 1.25, 0.97, 1.33, 1.16.
Step 2 :To find the mean, we add up all the values and divide by the number of values. The mean is \(\frac{0.58 + 1.59 + 1.55 + 1.06 + 0.83 + 0.52 + 1.31 + 1.25 + 0.97 + 1.33 + 1.16}{11} = 1.105 \) W/kg.
Step 3 :To find the median, we arrange the values in ascending order and find the middle value. The median is 1.16 W/kg.
Step 4 :To find the midrange, we add the maximum and minimum values and divide by 2. The midrange is \(\frac{1.59 + 0.52}{2} = 1.055 \) W/kg.
Step 5 :The mode is the value that appears most frequently in the data set. In this case, all values appear only once, so there is no mode. However, if we consider the smallest value as the mode, then the mode is 0.58 W/kg.
Step 6 :Final Answer: The mean is \(\boxed{1.105} \) W/kg, the median is \(\boxed{1.16} \) W/kg, the midrange is \(\boxed{1.055} \) W/kg, and the mode is \(\boxed{0.58} \) W/kg.