Question:6. Suppose the mass of an object and its density were determined independently by four students...
Homework Help Question & Answers
6. Suppose the mass of an object and its density were determined independently by four students...
6. Suppose the mass of an object and its density were determined independently by four students giving the following measurements. N=trial # mass volume Density (X) X-Xavg X-Savg Squared 2.040 g 0.49 mL 2.062 g 0.53 mL 2.039 g 0.50 mL 2.043 g 0.50 mL Sum of SD = + - Squares Square Root Sum of Divided Of this # Squares: by N-1 =+/- Avg = Xavg What is the average density of the object? What is the standard deviation in the density? (x-7)? S=1 N-1 dhe se (See page 24 - 26 for help in this calculation)
Salution - -density - mass Valle density z 2.0900g z9:16 fm 2(X1) o.49mL I density z 2.060g 23.89 /u (X2) -0.53 ML 3- density z 2.039g z 4.088/m z(x3) - o. SomL q - density z 2:0934 z4.099/m 2 (x4) 4:16 + 3.89 +4.08 +000g quiz 4.059 /mL 2X rean of density 716 7 Hence, average density z 9058/ (x-x)² - 14-16-405)² = (0-11)2 z 0.0121 (g/mc)? (x2=8)2 = (3-89–2005)? 2 (+46)2 = 0.0256 (90)? (x3 -7 z (4-08 - 4-os)z (0-03)2 z. 0.0009 (91)? (x4-x) = (4.09–4.05) 2 (0.09)z 0.0016 (O)" Suma, (x1=»3*+ (x2+8) +(**»*+(XA-P)", Elx=512 0.0121 +0.0256 +0.0oog +0.0016 Now, 316:7), 601005 2 0.00335 (6) sa Ecxzel +0.00354. z 10.0578 9/m2 4-1 Nt peence, standand deviation in density. 20.0678 Sun