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NIU / Math / Mat 208 / What are the various measures of location?

What are the various measures of location?

What are the various measures of location?

Description

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"}.lst-kix_56gy12jf80eg-1 > li{counter-increment:lst-ctn-kix_56gy12jf80eg-1}ul.lst-kix_is1qv3x7wqwv-0{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-1{list-style-type:none}.lst-kix_mm8rap9ox4vi-1 > li:before{content:"○ "}.lst-kix_mm8rap9ox4vi-0 > li:before{content:"● "}ol.lst-kix_qxaor11ablgj-6.start{counter-reset:lst-ctn-kix_qxaor11ablgj-6 0}.lst-kix_qxaor11ablgj-6 > li{counter-increment:lst-ctn-kix_qxaor11ablgj-6}ol.lst-kix_56gy12jf80eg-2.start{counter-reset:lst-ctn-kix_56gy12jf80eg-2 0}ul.lst-kix_is1qv3x7wqwv-2{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-3{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-4{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-5{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-6{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-7{list-style-type:none}ul.lst-kix_is1qv3x7wqwv-8{list-style-type:none}ol.lst-kix_vmzr7yrmrtn7-3.start{counter-reset:lst-ctn-kix_vmzr7yrmrtn7-3 0}.lst-kix_vmzr7yrmrtn7-2 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-2,lower-roman) ") "}ol.lst-kix_vmzr7yrmrtn7-0.start{counter-reset:lst-ctn-kix_vmzr7yrmrtn7-0 0}.lst-kix_qxaor11ablgj-7 > li{counter-increment:lst-ctn-kix_qxaor11ablgj-7}.lst-kix_vmzr7yrmrtn7-0 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-0,upper-latin) ") "}.lst-kix_vmzr7yrmrtn7-4 > li:before{content:"(" counter(lst-ctn-kix_vmzr7yrmrtn7-4,lower-latin) ") "}.lst-kix_vmzr7yrmrtn7-3 > li:before{content:"(" counter(lst-ctn-kix_vmzr7yrmrtn7-3,decimal) ") "}.lst-kix_qxaor11ablgj-4 > li{counter-increment:lst-ctn-kix_qxaor11ablgj-4}ol.lst-kix_56gy12jf80eg-5.start{counter-reset:lst-ctn-kix_56gy12jf80eg-5 0}.lst-kix_56gy12jf80eg-2 > li{counter-increment:lst-ctn-kix_56gy12jf80eg-2}.lst-kix_vmzr7yrmrtn7-1 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-1,lower-latin) ") "}ol.lst-kix_qxaor11ablgj-1{list-style-type:none}ol.lst-kix_qxaor11ablgj-0{list-style-type:none}ol.lst-kix_qxaor11ablgj-3{list-style-type:none}.lst-kix_vmzr7yrmrtn7-8 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-8,lower-roman) ". "}ol.lst-kix_56gy12jf80eg-3.start{counter-reset:lst-ctn-kix_56gy12jf80eg-3 0}ol.lst-kix_qxaor11ablgj-2{list-style-type:none}ol.lst-kix_qxaor11ablgj-5{list-style-type:none}.lst-kix_vmzr7yrmrtn7-2 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-2}.lst-kix_vmzr7yrmrtn7-7 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-7,lower-latin) ". "}ol.lst-kix_qxaor11ablgj-4{list-style-type:none}.lst-kix_vmzr7yrmrtn7-6 > li:before{content:"" counter(lst-ctn-kix_vmzr7yrmrtn7-6,decimal) ". "}ol.lst-kix_qxaor11ablgj-4.start{counter-reset:lst-ctn-kix_qxaor11ablgj-4 0}.lst-kix_vmzr7yrmrtn7-5 > li:before{content:"(" counter(lst-ctn-kix_vmzr7yrmrtn7-5,lower-roman) ") "}.lst-kix_qxaor11ablgj-0 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-0,decimal) ". "}ol.lst-kix_vmzr7yrmrtn7-6.start{counter-reset:lst-ctn-kix_vmzr7yrmrtn7-6 0}.lst-kix_vmzr7yrmrtn7-1 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-1}.lst-kix_qxaor11ablgj-2 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-2,lower-roman) ". "}.lst-kix_qxaor11ablgj-1 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-1,lower-latin) ". "}.lst-kix_qxaor11ablgj-4 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-4,lower-latin) ". "}ol.lst-kix_qxaor11ablgj-7{list-style-type:none}ol.lst-kix_qxaor11ablgj-6{list-style-type:none}.lst-kix_vmzr7yrmrtn7-8 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-8}ol.lst-kix_qxaor11ablgj-8{list-style-type:none}.lst-kix_qxaor11ablgj-3 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-3,decimal) ". "}.lst-kix_qxaor11ablgj-8 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-8,lower-roman) ". "}.lst-kix_qxaor11ablgj-6 > li:before{content:"" counter(lst-ctn-kix_qxaor11ablgj-6,decimal) ". 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"}ol.lst-kix_56gy12jf80eg-4{list-style-type:none}ol.lst-kix_56gy12jf80eg-1{list-style-type:none}ol.lst-kix_56gy12jf80eg-2{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-5{list-style-type:none}.lst-kix_j0dcw8t3g62q-4 > li:before{content:"○ "}ul.lst-kix_j0dcw8t3g62q-4{list-style-type:none}.lst-kix_j0dcw8t3g62q-8 > li:before{content:"■ "}ol.lst-kix_56gy12jf80eg-0{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-3{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-2{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-8{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-7{list-style-type:none}ul.lst-kix_j0dcw8t3g62q-6{list-style-type:none}ol.lst-kix_56gy12jf80eg-7{list-style-type:none}.lst-kix_j0dcw8t3g62q-5 > li:before{content:"■ "}ol.lst-kix_56gy12jf80eg-8{list-style-type:none}ol.lst-kix_56gy12jf80eg-5{list-style-type:none}ol.lst-kix_56gy12jf80eg-6{list-style-type:none}.lst-kix_qxaor11ablgj-1 > li{counter-increment:lst-ctn-kix_qxaor11ablgj-1}.lst-kix_vmzr7yrmrtn7-7 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-7}ol.lst-kix_qxaor11ablgj-5.start{counter-reset:lst-ctn-kix_qxaor11ablgj-5 0}ol.lst-kix_qxaor11ablgj-7.start{counter-reset:lst-ctn-kix_qxaor11ablgj-7 0}ol.lst-kix_vmzr7yrmrtn7-2.start{counter-reset:lst-ctn-kix_vmzr7yrmrtn7-2 0}.lst-kix_56gy12jf80eg-5 > li{counter-increment:lst-ctn-kix_56gy12jf80eg-5}ol.lst-kix_qxaor11ablgj-0.start{counter-reset:lst-ctn-kix_qxaor11ablgj-0 0}ol.lst-kix_56gy12jf80eg-6.start{counter-reset:lst-ctn-kix_56gy12jf80eg-6 0}.lst-kix_is1qv3x7wqwv-5 > li:before{content:"■ "}.lst-kix_56gy12jf80eg-4 > li{counter-increment:lst-ctn-kix_56gy12jf80eg-4}.lst-kix_is1qv3x7wqwv-4 > li:before{content:"○ "}.lst-kix_is1qv3x7wqwv-6 > li:before{content:"● "}.lst-kix_is1qv3x7wqwv-8 > li:before{content:"■ "}.lst-kix_qxaor11ablgj-3 > li{counter-increment:lst-ctn-kix_qxaor11ablgj-3}.lst-kix_is1qv3x7wqwv-7 > li:before{content:"○ "}ol.lst-kix_qxaor11ablgj-1.start{counter-reset:lst-ctn-kix_qxaor11ablgj-1 0}.lst-kix_vmzr7yrmrtn7-3 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-3}.lst-kix_vmzr7yrmrtn7-6 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-6}.lst-kix_is1qv3x7wqwv-1 > li:before{content:"○ "}.lst-kix_mm8rap9ox4vi-2 > li:before{content:"■ "}ol.lst-kix_56gy12jf80eg-7.start{counter-reset:lst-ctn-kix_56gy12jf80eg-7 0}.lst-kix_mm8rap9ox4vi-3 > li:before{content:"● "}ol.lst-kix_vmzr7yrmrtn7-8.start{counter-reset:lst-ctn-kix_vmzr7yrmrtn7-8 0}.lst-kix_is1qv3x7wqwv-2 > li:before{content:"■ "}ul.lst-kix_mm8rap9ox4vi-0{list-style-type:none}.lst-kix_mm8rap9ox4vi-4 > li:before{content:"○ "}ul.lst-kix_mm8rap9ox4vi-2{list-style-type:none}ul.lst-kix_mm8rap9ox4vi-1{list-style-type:none}.lst-kix_is1qv3x7wqwv-3 > li:before{content:"● "}ul.lst-kix_mm8rap9ox4vi-4{list-style-type:none}.lst-kix_mm8rap9ox4vi-6 > li:before{content:"● "}ul.lst-kix_mm8rap9ox4vi-3{list-style-type:none}.lst-kix_mm8rap9ox4vi-5 > li:before{content:"■ "}ul.lst-kix_mm8rap9ox4vi-6{list-style-type:none}.lst-kix_mm8rap9ox4vi-7 > li:before{content:"○ "}ul.lst-kix_mm8rap9ox4vi-5{list-style-type:none}ul.lst-kix_mm8rap9ox4vi-8{list-style-type:none}ul.lst-kix_mm8rap9ox4vi-7{list-style-type:none}ol.lst-kix_56gy12jf80eg-0.start{counter-reset:lst-ctn-kix_56gy12jf80eg-0 0}.lst-kix_is1qv3x7wqwv-0 > li:before{content:"● "}.lst-kix_mm8rap9ox4vi-8 > li:before{content:"■ "}.lst-kix_56gy12jf80eg-5 > li:before{content:"" counter(lst-ctn-kix_56gy12jf80eg-5,lower-roman) ". "}.lst-kix_vmzr7yrmrtn7-0 > li{counter-increment:lst-ctn-kix_vmzr7yrmrtn7-0}
  1. Measures of Location

            1) MaxDon't forget about the age old question of Which colleges in the us established the first departments of sociology?

            2) MinIf you want to learn more check out What's another term for negative attitude against an individual or a group?

            3) Percentiles We also discuss several other topics like How is hard sale performed?

            4) Measures of Center

If you want to learn more check out What is the focus of anthropometry?

                              y= variable of interest If you want to learn more check out What are the similarities of all cells?

                              n= sample size

                              Σ= summation of add them up

  • Mean - influenced by extreme values
  • Median - middle of date in an order

 We also discuss several other topics like Which factors influence reaction rate?

Resistant Measure: 

Skewed to right:

 

Skewed to left:

Length of Human Sreg. Mean < Median

  1. Max - Min
  2. (SP) - Standard Pesiation
  3. QR:   Q3 - Q1 = 150 - 130 = 2
  • IQR = Q3 - Q1

            Q3 = third quartile = 75th percentile

            Q2 = first quartile = 25th percentile

            #IQR is a Resistant Measure *always with median*

  1. Mean =
  2. Median = Order the data set

  1. Q1 = 1st quartile

  1. Q3 = 3rd quartile

           

CH4 -UNDERSTANDING + COMPARING DATA

Comparing groups with Histograms

Describe Class 1:

Shape 2: Unimodal , symmetric, no outliers

Center: Symmetric, Mean + Median 65

             Median = 2nd Quartile (Q2) = 50%

Describe Class 2:

Shape: Unimodal , uniform, multimodal

            -No chance, symmetric, no outliers

Center: Symmetry you use

             Mean = Median 65 pts

Describe Class 3:

Shape: Unimodal, skewed to left, possibly outliers

Center: Median, is resistant to extreme values

             Median 85 pts - Mean < Median

Box Plots:

  • Summary to construct a box plot

Statistics

Count = Sample  Size = n

Median = center, resistant measure

IQR = Interquartile Range - Resistant Measure

What is a variable of interest? y= size of vineyards in acres

 

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