Chapter 2, Problem 4PLA

A series of four measurements of the mass, length, and diameter of a cylinder are made. The results of these measurements are:

Mass—20.6, 20.5, 20.6, and 20.4 grams

Length—2.68, 2.67, 2.65, and 2.69 cm

Diameter—1.07, 1.05, 1.06, and 1.05 cm

Find the mean, standard deviation, and standard error for each of the measured quantities and tabulate them below. Keep only one significant figure in each standard error and then keep decimal places in the mean to coincide with the standard error.

$\bar{M}=\_\_\_\_\_\_\_\_$ ${\sigma }_{n-1}=\_\_\_\_\_\_\_\_$ ${\text{α}}_M=\_\_\_\_\_\_\_\_$

$\bar{L}=\_\_\_\_\_\_\_\_$ ${\sigma }_{n-1}=\_\_\_\_\_\_\_\_$ ${\text{α}}_L=\_\_\_\_\_\_\_\_$

$\bar{d}=\_\_\_\_\_\_\_\_$ ${\sigma }_{n-1}=\_\_\_\_\_\_\_\_$ ${\text{α}}_d=\_\_\_\_\_\_\_\_$

Calculate the density and the standard error of the density using Equations 3 and 4. Keep only one significant figure in the standard error and then keep decimal places in the density to coincide with the standard error.

ρ = _________ α_ρ = ________