please help answer this question 1. Compare the standard deviation for your marb
ID: 809001 • Letter: P
Question
please help answer this question
1. Compare the standard deviation for your marble mass measurements with that for your marble density measurements. Explain any differences or similarities.
standard deviation, cm Il. Mass, Volume, and Density of Marbles masses of marbles, in ascending order: mass, g largest smallest median mass, g mean mass, g average deviation, g standard deviation, g densities of marbles, in ascending order 12.4 largest density, g/mLK2 smallest median density, g/mL mean density, g/mL average deviation, g/mL standard deviation, g/mL average error, g/mL (ssumg that the marble is made of pure glass, which has a known density of 2.5 g/mL.) (Assume that the marble is made of pure glass, which has a known density of 2.5 g/mL.)Explanation / Answer
The Standard Deviation is a measure of how spread out numbers are.
Its symbol is ? (the greek letter sigma)formula=it is the square root of the Variance
mean mass =4.95+4.5+5.03+5.0+5.16+5.2+5.48+5.87+5.68+6.17 / 10=5.284g=5.3
Variance=(-0.35)^2+(-0.8)^2+(-0.27)^2+(-0.3)^2+(-0.14)^2+(-0.1)^2+(0.18)^2+(0.57)^2+(0.58)^2+(0.87)^2 / 10
Variance=0.1225+0.64+0.0729+0.09+.0196+0.01+0.0324+0.3249+0.3364+0.7569 / 10=0.24g
standard deviation for mass =(0.24)^1/2=.49g
mean deviation=2.56g/ml
standard deviationfor density =(.1296+0.0256+.0256+0.0036+0.0036+0.0016+.0016+0.0196+.0576+0.1156 /10)^1/2=.195g/ml
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