a) The average Хave %3D (x1 + x2 + х3 + + x20 ) / 20 ..... b) The variance (s^2) S'= (X ave – x1) + (X ave – x2) + (Х ave - x3)' + c) The standard deviation: SD = ( S³ / N)"² where N = 20 Now determine how many of the 20 measurements are between X ave + SD and X ave – SD | + (Х ave - x20)° .... .. 1/2

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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Position of +he ruler
Catched (Cm)
Trial
1
18.0cm
8.3 cm
3
Il.9 cm
4
(0.2cm
8.4 cm
6.
9.8CM
15.Scm
8
I1.8cm
9
28.5cm
10
18.7cm
11
14.9 cm
12
17.3cm
13
4,5 cm
14
10.2 cm
15
16.5 cm
16
8.2 cm
17
21.8cm
18
17.6 cm
19
29.7 cm
20
23,8cm
Transcribed Image Text:Position of +he ruler Catched (Cm) Trial 1 18.0cm 8.3 cm 3 Il.9 cm 4 (0.2cm 8.4 cm 6. 9.8CM 15.Scm 8 I1.8cm 9 28.5cm 10 18.7cm 11 14.9 cm 12 17.3cm 13 4,5 cm 14 10.2 cm 15 16.5 cm 16 8.2 cm 17 21.8cm 18 17.6 cm 19 29.7 cm 20 23,8cm
a) The average
b) The variance (s^2) S’= (X ave – x1) + (X ave – x2)' +
(Х ave - x3)* +
c) The standard deviation: SD = ( S'/ N)2 where N = 20
Now determine how many of the 20 measurements are between
X ave + SD and X ave -
Хave 3D (x1+x2 + х3 +
+ x20 ) / 20
.....
+ (Х ave - x20)°
....
1/2
SD
How many of the 20 measurements are between X ave + 2 SD
and X ave –2 SD
How many of the 20 measurements are between X ave + 3 SD
and X ave – 3 SD
(SD = STANDARD DEVIATION)
Transcribed Image Text:a) The average b) The variance (s^2) S’= (X ave – x1) + (X ave – x2)' + (Х ave - x3)* + c) The standard deviation: SD = ( S'/ N)2 where N = 20 Now determine how many of the 20 measurements are between X ave + SD and X ave - Хave 3D (x1+x2 + х3 + + x20 ) / 20 ..... + (Х ave - x20)° .... 1/2 SD How many of the 20 measurements are between X ave + 2 SD and X ave –2 SD How many of the 20 measurements are between X ave + 3 SD and X ave – 3 SD (SD = STANDARD DEVIATION)
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