T¶lfr¦°i - 2 Meyvant-JE-SRJ-KKS 23. janar 2008, Kennarahsk³la slands

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Aðferðafræði og menntarannsóknir 50.00.04 http://starfsfolk.khi.is/meyvant/menntarannsoknir.htm. Tölfræði - 2 Meyvant-JE-SRJ-KKS 23. janúar 2008, Kennaraháskóla Íslands. Verkefni úr síðasta tíma. Dæmi 1 var hugsuð sem æfing í Excel Summa (SUM – ath. táknið Σ ) Margfeldi (PRODUCT) Dæmi 3 - PowerPoint PPT Presentation

Transcript of T¶lfr¦°i - 2 Meyvant-JE-SRJ-KKS 23. janar 2008, Kennarahsk³la slands

  • Tlfri - 2 Meyvant-JE-SRJ-KKS 23. janar 2008, Kennarahskla slandsAferafri og menntarannsknir 50.00.04http://starfsfolk.khi.is/meyvant/menntarannsoknir.htm

  • Verkefni r sasta tmaDmi 1 var hugsu sem fing ExcelSumma (SUM ath. tkni ) Margfeldi (PRODUCT)

    Dmi 3 Nafnbreyta virkur/virkurRabreyta-mjg virkur-frekar virkur-frekar virkur mjg virkur ea hversu virkur kvara 1-7

    Dmi 5Setja tlu: Algengt a nota hattinn: ^

  • DreifingJkvtt skekkt (bls 136-137 McMillan) Mrg gildi eru lgri enda kvarans (Mynd 2)T.d ef fleiri eru me lgar einkunnir, lg laun

    Mealtal er hrra en migildi

    Chart5

    5

    4

    3

    3

    2

    2

    1

    Sheet4

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet5

    mynd 2

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199mean 5,3

    Kurtosis-0.6797887935median 5

    Skewness0.2891597453

    Range7mean strra en median jkvtt skekkt

    Minimum2mean er minna en median neikvtt skekkt

    Maximum9

    Sum101

    Count19

    Sheet6

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet7

    Mynd 3

    Mean4.5789473684

    Standard Error0.399676693

    Median5

    Mode6

    Standard Deviation1.7421503148

    Sample Variance3.0350877193

    Kurtosis-0.5863641992

    Skewness-0.5351638904

    Range6

    Minimum1

    Maximum7

    Sum87

    Count19

    Sheet1

    2

    3

    3Dmi 11einkx-mealt(x-mealt)

    45-0.50.25115111

    482.56.25124222

    471.52.25133232

    460.50.25143343

    593.512.25152354

    54-1.52.25262465

    55-0.50.25271471

    55-0.50.2524

    54-1.52.2525

    62-3.512.2535

    7summa5538.535

    7average5.535

    74.277777777846

    82.06827894146

    846

    956

    56

    57

    57

    1

    60.6

    91.35

    82

    73.5

    7.45

    Sheet1

    Sheet2

    Sheet3

  • Jkvtt skekkt dreifing

  • DreifingNeikvtt skekkt (bls 136-137) Fleiri gildi eru hrri enda kvarans (Mynd 3)Margir me har einkunnir, margir me h laun

    Mealtal lgra en migildi

    Chart2

    1

    2

    2

    3

    4

    5

    1

    Sheet4

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet5

    mynd 2

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199mean 5,3

    Kurtosis-0.6797887935median 5

    Skewness0.2891597453

    Range7mean strra en median jkvtt skekkt

    Minimum2mean er minna en median neikvtt skekkt

    Maximum9

    Sum101

    Count19

    Sheet6

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet7

    Mynd 3

    Mean4.5789473684

    Standard Error0.399676693

    Median5

    Mode6

    Standard Deviation1.7421503148

    Sample Variance3.0350877193

    Kurtosis-0.5863641992

    Skewness-0.5351638904

    Range6

    Minimum1

    Maximum7

    Sum87

    Count19

    Sheet1

    2

    3

    3Dmi 11einkx-mealt(x-mealt)

    45-0.50.251111

    482.56.251222

    471.52.251232

    460.50.251343

    593.512.251354

    54-1.52.252465

    55-0.50.252471

    55-0.50.2524

    54-1.52.2525

    62-3.512.2535

    7summa5538.535

    7average5.535

    74.277777777846

    82.06827894146

    846

    956

    56

    57

    57

    1

    60.6

    91.35

    82

    73.5

    7.45

    Sheet1

    Sheet2

    Sheet3

  • Neikvtt skekkt dreifing

  • Dreifing verkefni 9Bu til talnasafn og slurit me tveimur tustu gildum (tvtoppa/bimodal)Sj McMillan bls 1361,2,2,2,2,3,4,5,6,6,6,6,7Passa a sl inn tnina og setja gildin x sinn

    Chart6

    1

    4

    1

    1

    1

    4

    1

    tvtoppa

    Sheet4

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet5

    mynd 2

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199mean 5,3

    Kurtosis-0.6797887935median 5

    Skewness0.2891597453

    Range7mean strra en median jkvtt skekkt

    Minimum2mean er minna en median neikvtt skekkt

    Maximum9

    Sum101

    Count19

    Sheet6

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet7

    Mynd 3

    Mean4.5789473684

    Standard Error0.399676693

    Median5

    Mode6

    Standard Deviation1.7421503148

    Sample Variance3.0350877193

    Kurtosis-0.5863641992

    Skewness-0.5351638904

    Range6

    Minimum1

    Maximum7

    Sum87

    Count19

    Sheet8

    Column1

    Mean2.75

    Standard Error0.3469794473

    Median2.5

    Mode1

    Standard Deviation1.5517392619

    Sample Variance2.4078947368

    Kurtosis-1.4536186597

    Skewness0.2758524015

    Range4

    Minimum1

    Maximum5

    Sum55

    Count20

    Sheet9

    Column1

    Mean2.75

    Standard Error0.3469794473

    Median2.5

    Mode1

    Standard Deviation1.5517392619

    Sample Variance2.4078947368

    Kurtosis-1.4536186597

    Skewness0.2758524015

    Range4

    Minimum1

    Maximum5

    Sum55

    Count20

    Sheet10

    Einkunn111

    224

    Mean3.15231

    Standard Error0.4247290158241

    Median3251

    Mode1364

    Standard Deviation1.8994459026471

    Sample Variance3.60789473685

    Skewness0.52979735756

    Range66

    Minimum16

    Maximum76

    Sum637

    Count20

    Sheet10

    tvtoppa

    Sheet1

    2

    3

    3Dmi 11einkx-mealt(x-mealt)

    45-0.50.25115111

    482.56.25124222

    471.52.25133232

    460.50.25143343

    593.512.25152354

    54-1.52.25262465

    55-0.50.25271471

    55-0.50.2524

    54-1.52.2525

    62-3.512.2535

    7summa5538.535

    7average5.535

    74.277777777846

    82.06827894146

    846

    956

    56

    67

    67

    7

    60.6

    91.35

    82

    73.5

    7.45

    Sheet1

    Sheet2

    Sheet3

  • Staalfrvik-hva segir a okkur ?Hversu langt a mealtali tlurnar eru fr mealtalinu Skoum mismunandi dreifingar me sama mealtal en mism. staalfrvik

  • Staalfrvik framhStkin raast kringum mealtali sem er 5a eru allir me 4,5,ea 6Staalfrviki er 0,2Mealtali er 5 Stkin dreifast mun meiraStaalfrviki er hrraStaalfrviki er 2,3

    Chart7

    0

    0

    0

    5

    6

    5

    0

    0

    0

    0

    Sheet4

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet5

    mynd 2

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199mean 5,3

    Kurtosis-0.6797887935median 5

    Skewness0.2891597453

    Range7mean strra en median jkvtt skekkt

    Minimum2mean er minna en median neikvtt skekkt

    Maximum9

    Sum101

    Count19

    Sheet6

    Column1

    Mean5.3157894737

    Standard Error0.4396478627

    Median5

    Mode5

    Standard Deviation1.9163806041

    Sample Variance3.6725146199

    Kurtosis-0.6797887935

    Skewness0.2891597453

    Range7

    Minimum2

    Maximum9

    Sum101

    Count19

    Sheet7

    Mynd 3

    Mean4.5789473684

    Standard Error0.399676693

    Median5

    Mode6

    Standard Deviation1.7421503148

    Sample Variance3.0350877193

    Kurtosis-0.5863641992

    Skewness-0.5351638904

    Range6

    Minimum1

    Maximum7

    Sum87

    Count19

    Sheet8

    Column1

    Mean2.75

    Standard Error0.3469794473

    Median2.5

    Mode1

    Standard Deviation1.5517392619

    Sample Variance2.4078947368

    Kurtosis-1.4536186597

    Skewness0.2758524015

    Range4

    Minimum1

    Maximum5

    Sum55

    Count20

    Sheet9

    Column1

    Mean2.75

    Standard Error0.3469794473

    Median2.5

    Mode1

    Standard Deviation1.5517392619

    Sample Variance2.4078947368

    Kurtosis-1.4536186597

    Skewness0.2758524015

    Range4

    Minimum1

    Maximum5

    Sum55

    Count20

    Sheet10