Stratified Sampling Objective:

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Presentation transcript:

Stratified Sampling Objective: To be able to use stratified sampling methods to find a suitable sample size Grade A

Easy Stratified Sampling The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 I want to take a stratified sample of 10% people. How many pupils will I need from each Year? Year 7: 10% x 320 = 32 Year 8: 10% x 311 = 31.1 31 Year 9: 10% x 380 = 38 Year 10: 10% x 289 = 28.9 29 Year 11: 10% x 300 = 30

Stratified Sampling Add up the totals 320 + 311 + 380 + 289 + 300 The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Add up the totals 320 + 311 + 380 + 289 + 300 = 1600

Stratified Sampling So, we need a sample of 250 out of a possible 1600 The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 I want to take a stratified sample of 250 people. How many pupils will I need from each year? So, we need a sample of 250 out of a possible 1600 This is our sample size: 250 1600

Stratified Sampling × = Year 7: Year 8: Year 9: Year 10: 250 Year 11: The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 320 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Year 7: Year 8: Year 9: Year 10: Year 11: Sample Size: 250 1600 × = 50

Stratified Sampling × = 48.4375 Year 7: 50 Year 8: Year 9: Year 10: The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 311 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Year 7: 50 Year 8: Year 9: Year 10: Year 11: Sample Size: 250 1600 × = 48.59375 49

Stratified Sampling × = 48.4375 Year 7: 50 Year 8: 49 Year 9: Year 10: The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 380 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Year 7: 50 Year 8: 49 Year 9: Year 10: Year 11: Sample Size: 250 1600 × = 59.375 59

Stratified Sampling × = 48.4375 Year 7: 50 Year 8: 49 Year 9: 59 The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 289 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Year 7: 50 Year 8: 49 Year 9: 59 Year 10: Year 11: Sample Size: 250 1600 × = 45.15625 45

Stratified Sampling × = 48.4375 Year 7: 50 Year 8: 49 Year 9: 59 The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 300 I want to take a stratified sample of 250 people. How many pupils will I need from each year? Year 7: 50 Year 8: 49 Year 9: 59 Year 10: 45 Year 11: Sample Size: 250 1600 × = 46.875 47

48.4375 Stratified Sampling The table shows the number of pupils in each year Year 7 8 9 10 11 Pupils 320 311 380 289 300 I want to take a stratified sample of 250 people. How many pupils will I need from each year? We needed a stratified sample of 250 people Year 7: 50 Year 8: 49 Year 9: 59 Year 10: 45 Year 11: 47 Check: 50 + 49 + 59 + 45 + 47 = 250