Comparative stem and leaf diagram of error lines

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Comparative stem and leaf diagram of error lines

Key: 0  4=0.4 cm

Year 7: 0.4, 0.4, 0.6, 0.6, 0.6, 0.6, 0.9, 1.4

Year 11: 0.4, 0.6, 0.6, 0.6, 0.6, 0.9, 0.9, 1.6

Year7                                                                              

Mode: 0.6 cm

Median: 0.6 cm

Lower quartile: 0.5 cm

Upper quartile: 0.75 cm

Interquartile range: 0.75-0.5=0.25 cm

Semi-interquartile range: 0.25÷2=0.125 cm

Year 11

Mode: 0.6 cm

Median: 0.6 cm

Lower quartile: 0.6 cm

Upper quartile: 0.9 cm

Interquartile range: 0.9-0.6=0.3 cm

Semi-interquartile range: 0.3÷2=0.15 cm

Aware to on track with my second hypothesis and to avoid endless diagrams, I’ve only chosen year 7(youngest) and 11(oldest) for this interpretation.

Year 7 had smaller values than the year 11. There was 25% of year 7 who were 0.4 cm away from the actual line whilst 12.5% of year 11 was at this category.

The two year groups both had 50% of people who were 0.6 cm away from the actual line. However, 25% of year 11 were 0.9 cm within whilst 12.5% of year 7 were at the same category. 12.5% of year 11 were 1.6 cm within whilst 12.5% of year 7 were 1.4 cm within. This all sums up that year 7 are better at estimating since there were more of them closer to the actual measurement. This is evidence against my hypothesis.

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Comparative stem and leaf diagram of error angles

Key: 0 2=02°

Year 7: 02, 03, 03, 07, 08, 08, 08, 08

Year 11: 02, 07, 08, 08, 08, 08, 08, 08

Year 7

Mode: 8

Median: 7.5°

Lower quartile: 3°

Upper quartile: 8°

Interquartile range: 8-3=5°

Semi-interquartile range: 5÷2=2.5    

Year 11

Mode: 8°   

Median: 8°   

Lower quartile: 7.5°      

Upper quartile: 8°

Interquartile range: 8-7.5=0.5°

Semi-interquartile range: 0.5÷2=0.25°

Aware to be on track with my second hypothesis and to ...

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