Question

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)

Answer 1

It is simple calculation based.

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