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 modes. 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 ?



s n the resuts Listed belbow are the mrd ridution aborplion rates (n Wng)coesponding t typical of the population of cell phon
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Answer #1

range=maximum-minimum = 1.43-0.55=0.88 W/Kg

Sr. no X (X - X̄)²
1 1.43 0.205
2 0.55 0.183
3 0.56 0.174
4 1.14 0.026
5 1.11 0.018
6 1.12 0.020
7 1.19 0.045
8 0.61 0.1
9 1.36 0.146
10 0.93 0.002
11 0.75 0.052
X (X - X̄)²
total sum 10.75 1.006618182
n 11 11

mean =    ΣX/n =    0.977
      
      
sample std dev =   √ [ Σ(X - X̄)²/(n-1)] =   0.317 W/Kg

sample variance =    Σ(X - X̄)²/(n-1)=   0.101 (W/Kg)²

answer is

No,because some models of cell phones will have a longer market share than others. Measures from different models should be weighted according to their size in population

option a)

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