EXERCISES 1. Suppose you measure the time that a ball takes to fall from a height of 10.0 m ten times. Your measurements are 1.45 s, 1.39 s, 1.40 s, 1.43 s, 1.41 s, 1.45 s, 1.38 s, 1.42 s, 141 s, and 1.55 s. Calculate and express the mean value and the standard error of these measurements in the manner outlined in Example 3.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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EXAMPLE 3
Suppose that you have measured the length of an object seven times and obtained the values shown
in the first column of Table 1. Find (a) the mean value of your measurements and (b) the standard
error of the mean value. (c) Use Equation 1 and Equation 6 to express both your mean value and the
standard error of the mean.
Table 1
X- X;
(m)
(x – x)²
(m²)
(m)
16.7
0.1
0.01
16.8
0.0
0.00
16.6
0.2
0.04
16.9
-0.1
0.01
17.1
-0.3
0.09
16.8
0.0
0.00
16.7
0.1
0.01
Transcribed Image Text:EXAMPLE 3 Suppose that you have measured the length of an object seven times and obtained the values shown in the first column of Table 1. Find (a) the mean value of your measurements and (b) the standard error of the mean value. (c) Use Equation 1 and Equation 6 to express both your mean value and the standard error of the mean. Table 1 X- X; (m) (x – x)² (m²) (m) 16.7 0.1 0.01 16.8 0.0 0.00 16.6 0.2 0.04 16.9 -0.1 0.01 17.1 -0.3 0.09 16.8 0.0 0.00 16.7 0.1 0.01
EXERCISES
1. Suppose you measure the time that a ball takes to fall from a height of 10.0 m ten times. Your
measurements are 1.45 s, 1.39 s, 1.40 s, 1.43 s, 1.41 s, 1.45 s, 1.38 s, 1.42 s, 141 s, and 1.55 s.
Calculate and express the mean value and the standard error of these measurements in the
manner outlined in Example 3.
Transcribed Image Text:EXERCISES 1. Suppose you measure the time that a ball takes to fall from a height of 10.0 m ten times. Your measurements are 1.45 s, 1.39 s, 1.40 s, 1.43 s, 1.41 s, 1.45 s, 1.38 s, 1.42 s, 141 s, and 1.55 s. Calculate and express the mean value and the standard error of these measurements in the manner outlined in Example 3.
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