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Chart&diagram- انواع نمودار و کاربرد آن
1.
2102/72/6 ﻣﻌﺮﻓﯽ و
آﻣﻮزش اﻧﻮاع ﻧﻤﻮدار Chart & Diagram Training اراﺋﻪ دﻫﻨﺪه: ﮐﯿﻮان ﺟﻌﻔﺮي ﻓﺸﺎرﮐﯽ اﻧﺪﯾﺸﮑﺪه ﮐﯿﻮان www.k1j.ir وﺑﮕﺎه: k1j@k1j.ir ﭘﺴﺖ اﻟﮑﺘﺮوﻧﯿﮏ: 1 1
2.
2102/72/6 ﺑﻪ ﻧﺎم ﯾﮕﺎﻧﻪ
ي داﻧﺎ و ﺗﻮاﻧﺎ 2 2
3.
2102/72/6
ﻣﻘﺪﻣﻪ ﻣﻔﺎﻫﯿﻢ ﭘﺎﯾﻪ اﻫﺪاف ﺗﺮﺳﯿﻢ ﻧﻤﻮدار اﺳﺘﺎﻧﺪاردﻫﺎ و ﻗﻮاﻧﯿﻦ رﺳﻢ ﻧﻤﻮدار 1- اﻧﻮاع ﻧﻤﻮدار ﺳﺘﻮﻧﯽ ﺧﻄﯽ داﯾﺮه اي 2- ﺗﺮﺳﯿﻢ ﻧﻤﻮدارﻫﺎي ﻣﺨﺘﻠﻒ در ﻧﺮم اﻓﺰار اﮐﺴﻞ 3- ﺗﺮﺳﯿﻢ ﻧﻤﻮدار در ﻧﺮم اﻓﺰارﻫﺎي دﯾﮕﺮ 3 3
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2102/72/6
اﻧﺘﻘﺎل ﭘﯿﺎم ﺑﺎ ﯾﮏ ﻧﻤﻮدار ﻣﻘﺎﯾﺴﻪ آﯾﺘﻤﯽ ﺑﺎ آﯾﺘﻤﯽ دﯾﮕﺮ • ﻣﻘﺎﯾﺴﻪ داده ﻫﺎ ﺑﺮ اﺳﺎس زﻣﺎن • ﻣﻘﺎﯾﺴﺎت ﻧﺴﺒﯽ )ﻣﺎﻧﻨﺪ ﻧﻤﻮدار ﻫﺎي داﯾﺮه اي( • ﻣﻘﺎﯾﺴﻪ رواﺑﻂ داده اي )ﻣﺎﻧﻨﺪ ﻧﻤﻮدار (XY • ﻣﻘﺎﯾﺴﻪ ﺑﺴﺎﻣﺪي • ﻣﺸﺨﺺ ﮐﺮدن “داده ﭘﺮاﮐﻨﺪه” ﯾﺎ ﻣﻮﻗﻌﯿﺖ ﻫﺎ ﻏﯿﺮ ﻣﻌﻤﻮل • 4
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2102/72/6
اﻧﺘﺨﺎب ﻧﻮع ﻧﻤﻮدار • از ﻧﻤﻮداري اﺳﺘﻔﺎده ﮐﻨﯿﺪ ﮐﻪ ﭘﯿﺎم ﺷﻤﺎ را ﺑﻪ ﺳﺎده ﺗﺮﯾﻦ و دﻗﯿﻖ ﺗﺮﯾﻦ ﺷﮑﻞ ﻣﻤﮑﻦ ﺑﯿﺎن ﮐﻨﺪ. 5
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2102/72/6
ﺗﻌﺮﯾﻒ ﻧﻤﻮدار-اﻧﻮاع ﻧﻤﻮدار ﺑﻪ ﻧﻤﺎﯾﺶ ﺑﺼﺮي ﻣﻔﺎﻫﯿﻢ، اﯾﺪه ﻫﺎ، ﺳﺎﺧﺘﺎرﻫﺎ، رواﺑﻂ، دادهﻫﺎي آﻣﺎري و ﻏﯿﺮه ﺑﻪ ﮔﻮﻧﻪاي ﺳﺎده و ﺷﮑﻞ ﯾﺎﻓﺘﻪ ﻧﻤﻮدار ﻣﯽﮔﻮﯾﻨﺪ. از ﻧﻤﻮدارﻫﺎ ﺑﺮاي ﺳﺎده ﮐﺮدن و ﻣﻠﻤﻮس ﮐﺮدن ﻣﻮﺿﻮﻋﺎت ﮔﻮﻧﺎﮔﻮن اﺳﺘﻔﺎده ﻣﯽﺷﻮد. ﺳﻄﺤﯽ ﺳﺘﻮﻧﯽ: ﺳﺘﻮﻧﯽ 2 ﺑﻌﺪي، ﺳﺘﻮﻧﯽ 3 داﮔﻨﺎت ﺑﻌﺪي، ﻣﯿﻠﻪ اي، ﻣﺨﺮوﻃﯽ، ﻫﺮﻣﯽ ﺣﺒﺎﺑﯽ، ﺗﻮﭘﯽ ﺧﻄﯽ)روﻧﺪ(: ﺧﻄﯽ 2 ﺑﻌﺪي، ﺧﻄﯽ رادار 3 ﺑﻌﺪي ﻓﺼﻠﯽ ﭘﺎي: ﭘﺎي 2 ﺑﻌﺪي، ﭘﺎي 3 ﺑﻌﺪي ﻧﺮﻣﺎل ﻧﻮاري)ﺑﺎر(: ﻧﻮاري 2 ﺑﻌﺪي، ﻧﻮاري ﺧﻂ زﻣﺎن 3 ﺑﻌﺪي، ﻣﯿﻠﻪ اي، ﻣﺨﺮوﻃﯽ، ﻫﺮﻣﯽ اﺳﺘﺨﻮان ﻣﺎﻫﯽ ﻣﺤﯿﻄﯽ: 2 ﺑﻌﺪي، 3 ﺑﻌﺪي ﮔﺎﻧﺖ ﭘﺮاﮐﻨﺪﮔﯽ ) :(X-Yﻧﻘﻄﻪ اي، ﺟﺮﯾﺎن ﻧﻘﺪي ﺳﻬﺎﻣﯽ 6
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6/27/2012
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2102/72/6 ﻧﻤﻮدارﻫﺎي اﮐﺴﻞ
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2102/72/6 ﻧﻤﻮدارﻫﺎي اﮐﺴﻞ
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2102/72/6 اﻧﻮاع ﻧﻤﻮدارﻫﺎ
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2102/72/6 اﻧﻮاع ﻧﻤﻮدارﻫﺎ
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2102/72/6 ﻧﻤﻮدارﻫﺎي ﺳﺘﻮﻧﯽ )(Column
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2102/72/6
ﻧﻤﻮدارﻫﺎي ﺳﺘﻮﻧﯽ )(Column • ﻫﺮ ﯾﮏ از ﻧﻘﺎط داده اي را ﺑﻪ ﺻﻮرت ﯾﮏ ﺳﺘﻮن ﻋﻤﻮدي ﻧﺸﺎن ﻣﯽ دﻫﺪ. ارﺗﻔﺎع ﻧﻤﺎﯾﺎﻧﮕﺮ ﻣﻘﺪار ﻣﯽ ﺑﺎﺷﺪ. • ﻧﻘﺎط داده اي ﻣﺮﺑﻮط ﺑﻪ ﻫﺮ ﺳﺮي از داده ﻣﯽ ﺗﻮاﻧﻨﺪ ﺑﺮ روي ﻫﻤﺪﯾﮕﺮ ﭘﺸﺘﻪ ﺷﻮﻧﺪ. • اﻏﻠﺐ ﺟﻬﺖ ﻣﻘﺎﯾﺴﻪ آﯾﺘﻢ ﻫﺎي ﻣﺠﺰا ﺑﻪ ﮐﺎر ﻣﯽ روﻧﺪ و ﻣﯽ ﺗﻮاﻧﻨﺪ ﺗﻔﺎوت ﻫﺎي ﻣﻮﺟﻮد ﺑﯿﻦ آﯾﺘﻢ ﻫﺎي ﯾﮑﺴﺮي و ﯾﺎ ﺳﺮي ﻫﺎي ﭼﻨﺪﮔﺎﻧﻪ را ﻧﺸﺎن دﻫﻨﺪ. 31
14.
2102/72/6 ﻧﻤﻮدارﻫﺎي ﻣﯿﻠﻪ اي
)(Bar 41
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2102/72/6
ﻧﻤﻮدارﻫﺎي ﻣﯿﻠﻪ اي )(Bar • ﺷﺒﯿﻪ ﻧﻤﻮدار ﺳﺘﻮﻧﯽ اﺳﺖ ﮐﻪ 09 درﺟﻪ در ﺟﻬﺖ ﻋﻘﺮﺑﻪ ﻫﺎي ﺳﺎﻋﺖ ﭼﺮﺧﯿﺪه اﺳﺖ. • ﻣﺰﯾﺖ آن ﺧﻮاﻧﺪن آﺳﺎن ﺗﺮ ﻋﻨﺎوﯾﻦ و ﺑﺮﭼﺴﺐ ﻫﺎي ﻫﺮ ﮔﺮوه ﻣﯽ ﺑﺎﺷﺪ. • ﺑﺮﺧﻼف ﻧﻤﻮدار ﺳﺘﻮﻧﯽ، در ﻧﻤﻮدار ﻣﯿﻠﻪ اي ﻫﯿﭻ ﻧﻤﻮدار ﻓﺮﻋﯽ ﮐﻪ ﻫﻤﺮاه ﺑﺎ ﻣﺤﻮر ﺳﻮم ﭼﻨﺪﯾﻦ ﺳﺮي را ﻧﻤﺎﯾﺶ دﻫﺪ، ﻣﻮﺟﻮد ﻧﻤﯽ ﺑﺎﺷﺪ. )ﻫﯿﭻ ﻧﻮع ﻧﻤﻮدار ﻓﺮﻋﯽ 3D-Bar Chartوﺟﻮد ﻧﺪارد. 51
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2102/72/6 ﻧﻤﻮدارﻫﺎي ﺧﻄﯽ
61
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2102/72/6
ﻧﻤﻮدارﻫﺎي ﺧﻄﯽ • اﻏﻠﺐ ﺑﺮاي رﺳﻢ داده ﻫﺎي ﭘﯿﻮﺳﺘﻪ ﺑﻪ ﮐﺎر ﻣﯽ رود • ﺑﺮاي ﺗﻌﯿﯿﻦ ﺟﻬﺖ و ﮔﺮاﯾﺶ ﻣﻔﯿﺪ اﺳﺖ • ﺗﺮﺳﯿﻢ ﻓﺮوش ﻣﺎﻫﯿﺎﻧﻪ 71
18.
2102/72/6 ﻧﻤﻮدار ﻣﻘﺎﯾﺴﻪ اي
ﺳﺎل ﻫﺎ-ﻓﺼﻞ ﻫﺎ و ﻣﺎه ﻫﺎ 81
19.
2102/72/6 ﻣﻘﺎﯾﺴﻪ روﻧﺪﻫﺎي ﭼﻨﺪ
ﺳﺎل ﻗﯿﻤﺖ ﻃﻼ 91
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2102/72/6 ﻧﻤﻮدار ﮐﻨﺘﺮﻟﯽ
02
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2102/72/6 ﻧﻤﻮدارﻫﺎي داﯾﺮه اي
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2102/72/6
ﻧﻤﻮدارﻫﺎي داﯾﺮه اي )(Pie ﺑﺮاي ﻧﻤﺎﯾﺶ ﺳﻬﻢ ﯾﺎ اﺑﻌﺎد ﻧﺴﺒﯽ از ﮐﻞ اﺳﺘﻔﺎده ﻣﯽ ﺷﻮد. • ﻓﻘﻂ ﻣﯽ ﺗﻮان از ﯾﮏ ﺳﺮي داده اﺳﺘﻔﺎده ﮐﺮد. • ﺑﺮاي ﻧﻘﺎط داده اي ﮐﻮﭼﮏ ﻣﻮﺛﺮﺗﺮ ﻫﺴﺘﻨﺪ. • ﻧﺒﺎﯾﺪ ﺑﯿﺶ از 5 ﯾﺎ 6 ﻧﻘﻄﻪ ي داده اي اﺳﺘﻔﺎده ﮐﺮد. • ﺑﺎﯾﺪ ﺗﻤﺎم ﻣﻘﺎدﯾﺮ اﻋﺪاد ﻣﺜﺒﺖ ﺑﺎﺷﻨﺪ. • 22
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2102/72/6 ﻧﻤﻮدارﻫﺎي ﭘﺮاﮐﻨﺪﮔﯽ ﯾﺎ
ﻣﺨﺘﺼﺎﺗﯽ )(XY 32
24.
2102/72/6 ﻧﻤﻮدارﻫﺎي
ﻣﺨﺘﺼﺎﺗﯽ ﯾﺎ ﭘﺮاﮐﻨﺪﮔﯽ )(XY ﻫﺮ دو ﻣﺤﻮر ﻧﺸﺎن دﻫﻨﺪه ﻣﻘﺪار ﻫﺴﺘﻨﺪ • ﺑﺮاي ﻧﺸﺎن دادن رواﺑﻂ ﺑﯿﻦ دو ﻣﺘﻐﯿﯿﺮ ﺑﻪ ﮐﺎر ﻣﯽ رود • ﻣﺜﺎل: رواﺑﻂ ﺑﯿﻦ ﻓﺮوش )ﻣﺤﻮر اﻓﻘﯽ( . ﻓﺮوش واﻗﻌﯽ )ﻣﺤﻮر • ﻋﻤﻮدي( ﺗﻮﺟﻪ: ﺑﺎ اﯾﻨﮑﻪ ﻧﻘﺎط داده ﻫﺎ ﻣﻄﺎﺑﻖ ﺑﺎ زﻣﺎن اﺳﺖ، اﻣﺎ درك اﯾﻦ • ﻣﻄﻠﺐ ﮐﻪ اﻃﻼﻋﺎت ﻣﺮﺗﺒﻂ ﺑﺎ زﻣﺎن را ﻣﻨﺘﻘﻞ ﻧﮑﻨﻨﺪ، ﺑﺴﯿﺎر ﻣﻬﻢ اﺳﺖ؛ ﺑﻪ ﻋﺒﺎرت دﯾﮕﺮ ﻧﻘﺎط داده ﻫﺎ ﻓﻘﻂ ﺑﺮ اﺳﺎس ﻣﻘﺎدﯾﺮﺷﺎن رﺳﻢ ﻣﯽ ﺷﻮﻧﺪ. 42
25.
2102/72/6 ﻧﻤﻮدارﻫﺎي ﻧﺎﺣﯿﻪ اي
ﯾﺎ ﻣﺤﯿﻄﯽ 52
26.
2102/72/6
ﻧﻤﻮدارﻫﺎي ﻧﺎﺣﯿﻪ اي ﯾﺎ ﻣﺤﯿﻄﯽ • ﻫﻤﺎﻧﻨﺪ ﻧﻤﻮدار ﺧﻄﯽ ﺑﺎ اﯾﻦ ﺗﻔﺎوت ﮐﻪ ﻧﺎﺣﯿﻪ زﯾﺮ ﺧﻂ رﻧﮕﯽ ﺷﺪه اﺳﺖ. 62
27.
2102/72/6 ﻧﻤﻮدارﻫﺎي دوﻧﺎت )(Doughnut
72
28.
2102/72/6
ﻧﻤﻮدارﻫﺎي دوﻧﺎت )(Doughnut • ﯾﮏ ﻧﻤﻮدار ﺣﻠﻘﻮي ﺷﺒﯿﻪ ﯾﮏ ﻧﻤﻮدار داﯾﺮه اي اﺳﺖ. اﻟﺒﺘﻪ ﺑﺎ 2 اﺳﺘﺜﻨﺎ: ﻧﻤﻮدار ﺣﻠﻘﻮي در وﺳﻂ ﺑﻪ ﺻﻮرت ﯾﮑﭙﺎرﭼﻪ اﺳﺖ و ﻣﯽ ﺗﻮان ﺑﯿﺶ از ﯾﮏ ﺳﺮي داده را در آن ﻧﺸﺎن داد. • ﺑﻬﺘﺮﯾﻦ ﮐﺎرﺑﺮد ﻧﻤﻮدار دوﻧﺎت رﺳﻢ ﯾﮏ ﺳﺮي ﻣﻨﻔﺮد ﺑﻪ ﻋﻨﻮان ﺟﺎي ﮔﺰﯾﻨﯽ ﺑﺼﺮي ﺑﺮاي ﯾﮏ ﻧﻤﻮدار داﯾﺮه اي ﺑﺎﺷﺪ. 82
29.
2102/72/6 ﻧﻤﻮدار رادار )(Radar
92
30.
2102/72/6
ﻧﻤﻮدار رادار )(Radar ﻧﻤﻮدار رادار داراي ﻣﺤﻮر ﻣﺠﺰاﯾﯽ ﺑﺮاي ﻫﺮ ﮔﺮوه اﺳﺖ. • ﻣﺤﻮرﻫﺎ از ﻣﺮﮐﺰ ﻧﻤﻮدار ﺑﻪ ﻃﺮف ﺑﯿﺮون ﺧﺎرج ﻣﯽ ﺷﻮﻧﺪ. • ﻣﺜﺎل: ﺑﺮاي ﻧﺸﺎن دادن ﺗﻮﺳﻌﻪ ﻫﻤﻪ ﺟﺎﻧﺒﻪ • ﺑﺮاي ﻧﺸﺎن دادن ﻧﻘﺎط ﻗﻮت و ﺿﻌﻒ • ﺑﺮاي ﻧﺸﺎن دادن وﺿﻌﯿﺖ ﯾﮏ ﻣﻮﺿﻮع در 21 ﻣﺎه ﺳﺎل • 03
31.
2102/72/6 ﻧﻤﻮدارﻫﺎي ﺳﻄﺤﯽ
13
32.
2102/72/6
ﻧﻤﻮدارﻫﺎي ﺳﻄﺤﯽ )(Surface ﯾﮏ ﯾﺎ ﭼﻨﺪ ﺳﺮي داده را در ﯾﮏ ﺳﻄﺢ ﻧﺸﺎن ﻣﯽ دﻫﺪ. • از رﻧﮓ ﺑﺮاي ﻣﺸﺨﺺ ﮐﺮدن ﻣﻘﺎدﯾﺮ اﺳﺘﻔﺎده ﻣﯽ ﮐﻨﺪ ﻧﻪ ﺑﺮاي • ﻣﺸﺨﺺ ﮐﺮدن ﺳﺮي داده ﻫﺎ. ﻫﺮ رﻧﮓ ﻣﻄﺎﺑﻖ ﺑﺎ ﯾﮏ واﺣﺪ اﺻﻠﯽ اﺳﺖ. • ﯾﮏ ﻧﻤﻮدار ﺳﻄﺤﯽ ﻧﻘﺎط داده اي ﺳﻪ ﺑﻌﺪي رﺳﻢ ﻧﻤﯽ ﮐﻨﺪ. • اﮔﺮ داده ﻫﺎﯾﯽ دارﯾﺪ ﮐﻪ ﺑﺎ ﻣﺨﺘﺼﺎت x , y , zﻧﺸﺎن داده ﺷﺪه • اﻧﺪ، ﻧﻤﯽ ﺗﻮاﻧﻨﺪ ﺑﻪ ﺻﻮرت درﺳﺖ و دﻗﯿﻖ در ﯾﮏ ﻧﻤﻮدار ﺳﻄﺤﯽ رﺳﻢ ﺷﻮﻧﺪ. 23
33.
2102/72/6 ﻧﻤﻮدارﻫﺎي ﺣﺒﺎﺑﯽ )(Bubble
33
34.
2102/72/6
ﻧﻤﻮدارﻫﺎي ﺣﺒﺎﺑﯽ )(Bubble • ﯾﮏ ﻧﻤﻮدار ﺣﺒﺎﺑﯽ ﻫﻤﺎﻧﻨﺪ ﻧﻤﻮدار XYاﺳﺖ ﮐﻪ ﻣﯽ ﺗﻮاﻧﺪ ﯾﮑﺴﺮي داده اﺿﺎﻓﯽ را ﻧﺸﺎن دﻫﺪ. • در اﯾﻦ ﻧﻤﻮدار، ﺳﺮي داده ﻫﺎ ﺑﻪ ﺻﻮرت ﺣﺒﺎب اراﺋﻪ ﻣﯽ ﺷﻮد. • ﻫﺮ دو ﻣﺤﻮر، ﻣﺤﻮر ﻣﻘﺪار اﺳﺖ و ﻣﺤﻮر ﮔﺮوه وﺟﻮد ﻧﺪارد. 43
35.
2102/72/6 ﻣﺜﺎل ﻧﻤﻮدار ﺣﺒﺎﺑﯽ-ﺳﻄﺢ
ﺳﻼﻣﺖ ﮐﺸﻮرﻫﺎ ﺑﻪ ﻧﺴﺒﺖ درآﻣﺪ 53
36.
2102/72/6 ﻧﻤﻮدار ﭘﺎرﺗﻮ )20-80
-(Pareto 63
37.
2102/72/6 ﻧﻤﻮدار ﻧﺮﻣﺎل )(Norminal
73
38.
2102/72/6
ﺗﻮزﯾﻊ ﻧﺮﻣﺎل ﺗﻮزﯾﻊ ﻧﺮﻣﺎل ﯾﺎ ﺗﻮزﯾﻊ ﮔﻮﺳﯽ )ﯾﺎ ﮔﺎوﺳﯽ( ﯾﮑﯽ از ﺗﻮزﯾﻊﻫﺎي اﺣﺘﻤﺎﻻﺗﯽي ﭘﯿﻮﺳﺘﻪ ﻣﻬﻢ اﺳﺖ. اﯾﻦ ﺗﻮزﯾﻊ ﺑﺎ ﺑﺮدار ﻣﯿﺎﻧﮕﯿﻦ و ﻣﺎﺗﺮﯾﺲ ﮐﻮارﯾﺎﻧﺲ آن ﺗﻮﺻﯿﻒ ﻣﯽﺷﻮد. ﺗﻮزﯾﻊ ﻧﺮﻣﺎل اﺳﺘﺎﻧﺪاردﺗﻮزﯾﻌﯽ ﺑﺎ ﻣﯿﺎﻧﮕﯿﻦ ﺻﻔﺮ و ﻣﺎﺗﺮﯾﺲ ﮐﻮارﯾﺎﻧﺲ واﺣﺪ اﺳﺖ )ﺧﻂ ﺳﺒﺰ ﮐﺸﯿﺪه ﺷﺪه در ﻧﻤﻮدار ﺑﺮاي ﺣﺎﻟﺖ ﺗﮏﺑﻌﺪي(. ﺑﻪ ﻋﻠﺖ ﺷﺒﺎﻫﺖ اﯾﻦ ﺷﮑﻞ ﺑﻪ زﻧﮕﻮﻟﻪ ﺑﻪ آن اﻧﺤﻨﺎي زﻧﮕﻮﻟﻪاي ﻧﯿﺰ ﮔﻔﺘﻪ ﻣﯽﺷﻮد. دﻟﯿﻞ اﻫﻤﯿﺖ ﺗﻮزﯾﻊ ﻧﺮﻣﺎل از وﺟﻮد ﻗﻀﯿﻪ ﺣﺪ ﻣﺮﮐﺰي ﻧﺎﺷﯽ ﻣﯽﺷﻮد. اﯾﻦ ﻗﻀﯿﻪ ﻣﯽﮔﻮﯾﺪ ﮐﻪ ﻫﻨﮕﺎﻣﯽ ﮐﻪ ﺗﻌﺪاد ﺑﺴﯿﺎر زﯾﺎدي ﻣﺘﻐﯿﺮ ﺗﺼﺎدﻓﯽ ﺑﺎ ﺗﻮزﯾﻊ دلﺧﻮاه )و اﻟﺒﺘﻪ ﺑﺎ وارﯾﺎﻧﺲ ﻣﺤﺪود( را ﺑﺎ ﻫﻢ ﺟﻤﻊ ﮐﻨﯿﻢ و ﻣﯿﺎﻧﮕﯿﻦ ﺑﮕﯿﺮﯾﻢ، ﺗﻮزﯾﻊ ﻧﻬﺎﯾﯽ ﺑﻪ ﺗﻮزﯾﻊ ﻧﺮﻣﺎل ﻣﯿﻞ ﻣﯽﮐﻨﺪ. ﺑﻪ ﻫﻤﯿﻦ ﺧﺎﻃﺮ ﻫﻨﮕﺎﻣﯽ ﮐﻪ ﺷﺎﻫﺪ ﺗﺄﺛﯿﺮ ﺟﻤﻌﯽي ﺑﺴﯿﺎري از ﭘﺪﯾﺪهﻫﺎي ﺗﺼﺎدﻓﯽ ﻫﺴﺘﯿﻢ، ﻧﺘﯿﺠﻪ ﻧﻬﺎﯾﯽ ﺑﺎ ﺗﻮزﯾﻊ ﻧﺮﻣﺎل ﻗﺎﺑﻞ ﺗﻮﺻﯿﻒ اﺳﺖ. از ﻣﻬﻢﺗﺮﯾﻦ ﮐﺎرﺑﺮدﻫﺎي اﯾﻦ ﺗﺎﺑﻊ ﺗﻮزﯾﻊ در داﻧﺶ اﻗﺘﺼﺎد و ﻣﺪﯾﺮﯾﺖ اﻣﺮوز ﻣﯽﺗﻮان ﺑﻪ ﻣﺪل ﮐﺮدن ﭘﻮرﺗﻔﻮﻟﯿﻮﻫﺎ ) )Portfoliosدر ﺳﺮﻣﺎﯾﻪ ﮔﺬاري و ﻣﺪﯾﺮﯾﺖ ﻣﻨﺎﺑﻊ ﻧﺎم ﺑﺮد. ﻫﻨﮕﺎﻣﯽ ﮐﻪ ﻣﻘﺪار ﻣﻨﻔﯽ ﺑﺮاي ﻣﺘﻐﯿﯿﺮ ﻣﻌﻨﯽ ﻧﺪاﺷﺘﻪ ﺑﺎﺷﺪ ﻣﻌﻤﻮﻻ" در ﻣﺤﻮر xﻣﻨﺤﻨﯽ را ﻣﻨﻘﻞ ﻣﯽﮐﻨﻨﺪ و ﻣﻘﺪار ﻣﯿﺎﻧﮕﯿﻦ - ﮐﻪ داراي ﺑﯿﺸﺘﺮﯾﻦ اﺣﺘﻤﺎل وﻗﻮع ﻫﺴﺖ - را ﺑﻪ ﺳﻤﺖ ﻣﻘﺎدﯾﺮ ﺑﺰﮔﺘﺮ ﺷﯿﻔﺖ ﻣﯽدﻫﻨﺪ. 83
39.
2102/72/6 ﻧﻤﻮدار ﻗﯿﻔﯽ
93
40.
2102/72/6 ﻧﻤﻮدارﻫﺎي ﻣﺨﺮوﻃﯽ و
ﻫﺮﻣﯽ 04
41.
2102/72/6 ﻧﻤﻮدار ﻫﯿﺴﺘﻮﮔﺮام
14
42.
2102/72/6 ﻧﻤﻮدار ﮔﺎﻧﺖ )(Gantt
24
43.
2102/72/6 ﻧﻤﻮدار ﺟﺮﯾﺎن ﻧﻘﺪي
)(Cash Flow 34
44.
2102/72/6 ﻧﻤﻮدار اﺳﺘﺨﻮان ﻣﺎﻫﯽ
ﯾﺎ ﻋﻠﺖ و ﻣﻌﻠﻮﻟﯽ )(Fishbone 44
45.
2102/72/6 ﻧﻤﻮدار ﺧﻂ زﻣﺎن
)(Timeline 54
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