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.

Glencoe Physics: Principles and Problems, Student Edition
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Chapter1: A Physics Toolkit
Section1.3: Measurement
Problem 19SSC
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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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