Difference between revisions of "ERROR BARS"

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(Created page with "<div style="font-size:30px">'''ERROR BARS'''</div> ==='''''Description:'''''=== '''''In Polar Charts, a series is represented by a closed curve that connects points in the pol...")
 
 
(7 intermediate revisions by the same user not shown)
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<div style="font-size:30px">'''ERROR BARS'''</div>
 
<div style="font-size:30px">'''ERROR BARS'''</div>
 
==='''''Description:'''''===
 
==='''''Description:'''''===
'''''In Polar Charts, a series is represented by a closed curve that connects points in the polar coordinate system.'''''<br>
+
'''An error bar is a line through a point on a graph, parallel to one of the axes, which represents the uncertainty of the corresponding coordinate of the point.'''''<br>  
'''''Each data point is determined by the distance from the pole (the radial coordinate) and the angle from the fixed direction (the angular coordinate).'''''<br>
+
'''Error Bars help to indicate estimated error or uncertainty to give a general sense of how exact a measurement is.'''''<br>
*'''''Graphing a point with polar coordinates (r, θ).'''''<br>
+
*'''''Error Bars can be applied to graphs such as Scatter Plots, Dot Plots, Bar Charts or Line Graphs.'''''<br>
*'''''In polar coordinates, the dependent variable, r, gives not a height but a distance from the pole in direction θ.'''''<br>
+
*'''''This is done through the use of markers drawn over the original graph and its data points.'''''<br>
*''''' When graphing an equation in polar coordinates, we think of sweeping around the pole in the counterclockwise direction, and at each angle θ, the r-value tells us how far the graph is from the pole.'''''<br>
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*'''''Typically, Error bars are used to display either the standard deviation, standard error, confidence intervals or the minimum and maximum values in a ranged data-set.'''''
 +
*'''''1st and 2nd column represents X and Y data-set, 3rd column represents error.
  
 
==Example==
 
==Example==
 
{| class="wikitable" style="font-size:14px"
 
{| class="wikitable" style="font-size:14px"
 
|-
 
|-
| A|| '''B''' || '''C'''
+
| '''A'''|| '''B''' || '''C'''
 
|-
 
|-
| Theta || '''deg Theta''' || '''rad (SIN(θ))'''  
+
| '''X''' || '''Y''' || '''Error'''  
 
|-
 
|-
| 0 || || 0   
+
| 1.6 || 1.97 || 0.897  
 
|-
 
|-
| 0.3307 || 18.9477° || 0.3247
+
| 2.51 || 3.1 || 0.732
 
|-
 
|-
| 0.6614 || 37.8954° || 0.6142
+
| 3.55 || 2.79 || 0.633
 
|-
 
|-
| 0.9921 || 56.8431° || 0.8372
+
| 3.83 || 3.96 || 0.6
 
|-
 
|-
| 1.3228 || 75.7909° || 0.9694
+
| 5.47 || 4.4 || 0.633
 
|-
 
|-
|1.6535 || 94.7386° || 0.9966
+
|5.77 || 5.72 || 0.732
 
|-
 
|-
|1.9842 || 113.6863° || 0.9158
+
|6.89 || 7.2 || 0.897
 
|-
 
|-
|2.3149 || 132.6340° || 0.7357
+
|7.76 || 7.65 || 1.128
 
|-
 
|-
|2.6456 || 151.5817° || 0.4749
+
|8.78 || 8.34 || 1.425
|-
 
|2.9763 || 170.5294° || 0.1645
 
|-
 
|3.3070 || 189.4771° || -0.16
 
|-
 
|3.6377 || 208.4249° || -0.48
 
|-
 
|3.9684 || 227.3726° || -0.74
 
|-
 
|4.2991 || 246.3203° || -0.92
 
|-
 
|4.6298 || 265.2680° || -1.00
 
|-
 
|4.9605 || 284.2157° || -0.97
 
|-
 
|5.2912 || 303.1634° || -0.84
 
|-
 
|5.6219 || 322.1111° || -0.61
 
|-
 
|5.9526 || 341.0589° || -0.32
 
|-
 
|6.2833 || 360.0066° || 0.0001
 
|-
 
|6.6140 || 378.9543° || 0.3248
 
|-
 
|6.9447 || 397.9020° || 0.6143
 
 
|}
 
|}
  
'''ERRORBARS(A1:C23)'''<br><br/>
+
'''ERRORBARS(A1:C10)'''<br><br/>
 
[[File:errorbars.JPG]]<br><br/>
 
[[File:errorbars.JPG]]<br><br/>
 
[[GRAPHING|'''''GRAPHING MAIN PAGE''''']]
 
[[GRAPHING|'''''GRAPHING MAIN PAGE''''']]

Latest revision as of 12:18, 18 June 2020

ERROR BARS

Description:

An error bar is a line through a point on a graph, parallel to one of the axes, which represents the uncertainty of the corresponding coordinate of the point.
Error Bars help to indicate estimated error or uncertainty to give a general sense of how exact a measurement is.

  • Error Bars can be applied to graphs such as Scatter Plots, Dot Plots, Bar Charts or Line Graphs.
  • This is done through the use of markers drawn over the original graph and its data points.
  • Typically, Error bars are used to display either the standard deviation, standard error, confidence intervals or the minimum and maximum values in a ranged data-set.
  • 1st and 2nd column represents X and Y data-set, 3rd column represents error.

Example

A B C
X Y Error
1.6 1.97 0.897
2.51 3.1 0.732
3.55 2.79 0.633
3.83 3.96 0.6
5.47 4.4 0.633
5.77 5.72 0.732
6.89 7.2 0.897
7.76 7.65 1.128
8.78 8.34 1.425

ERRORBARS(A1:C10)

Errorbars.JPG

GRAPHING MAIN PAGE