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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