What is “Random and Systematic Error”? Give an example for each one. What is “Standard deviation” and its formula? What data percent of XAverage ± σ, or XAverage ± 2σ, or XAverage  ± 3σ  might be the most reliable one?

Question 2: Complete the following Error Analysis The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter scale. W The measurements give the values length 83 mm, width 68 mm and height 23 mm. The uncertainty in each measurement is ±1 mm. Calculate, 1. The fractional uncertainty in the measurement of VOLUME is 2. Absolute uncertainty in the measurement of VOLUME in (mm³ ) is

The radius of a sphere is known to be  r = 6.27 ± 0.06 cm.  The volume of a sphere is given by  (4/3)?r3.  Find the absolute uncertainty and the percent uncertainty in the volume of the sphere. absolute uncertainty       cm3 percent uncertainty

7. A cylinder ħas á radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of this cylinder and its uncertainty in cubic centimeters. (Hint: The formula for the volume of a cylinder is V = TT r2 h.) (b) Find the % uncertainty for r, h and V. (c) Find the volume of this cylinder in cubic meters. 2 3 4 r with the appropriate ing water, heated by heat. Beakers 1 and 2 of water. The height of of the flame under ine the change in