Proportion Proportion • Figures A, B and C below each show a distribution of the sample median, but they are based on sample medians for samples of different sizes from various populations, all with 5 categories. • • Sample 1 is the distribution of the sample median for samples of size 12 from a population. Sample 2 is the distribution of the sample median for samples of size 5 from the same population as Sample 1. Sample 3 is the distribution of the sample median for samples of size 20 from a different population than the previous two. Giving your reasons, say which figure (A, B or C) relates to which sample (1, 2 or 3). [6] Figure B Figure A 1.0 1.0 0.860 0.8 0.8 0.690 0.6 0.4 Proportion 0.6 0.4 0.290 0.2 0.140 0.2 0.000 0.000 0.000 0.010 0.010 0.000 0.0 0.0 T 1 2 3 4 5 1 2 3 4 5 Median Median Figure C 1.0 0.880 0.8 0.6 0.4 0.2 0.120 0.000 0.000 0.000 0.0 T T 1 2 3 4 5 Median

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Proportion
Proportion
•
Figures A, B and C below each show a distribution of the sample median,
but they are based on sample medians for samples of different sizes from
various populations, all with 5 categories.
•
•
Sample 1 is the distribution of the sample median for samples of size 12
from a population.
Sample 2 is the distribution of the sample median for samples of size 5
from the same population as Sample 1.
Sample 3 is the distribution of the sample median for samples of size 20
from a different population than the previous two.
Giving your reasons, say which figure (A, B or C) relates to which sample (1,
2 or 3).
[6]
Figure B
Figure A
1.0
1.0
0.860
0.8
0.8
0.690
0.6
0.4
Proportion
0.6
0.4
0.290
0.2
0.140
0.2
0.000
0.000 0.000
0.010
0.010 0.000
0.0
0.0
T
1
2
3
4
5
1
2
3
4
5
Median
Median
Figure C
1.0
0.880
0.8
0.6
0.4
0.2
0.120
0.000
0.000 0.000
0.0
T
T
1
2
3
4
5
Median
Transcribed Image Text:Proportion Proportion • Figures A, B and C below each show a distribution of the sample median, but they are based on sample medians for samples of different sizes from various populations, all with 5 categories. • • Sample 1 is the distribution of the sample median for samples of size 12 from a population. Sample 2 is the distribution of the sample median for samples of size 5 from the same population as Sample 1. Sample 3 is the distribution of the sample median for samples of size 20 from a different population than the previous two. Giving your reasons, say which figure (A, B or C) relates to which sample (1, 2 or 3). [6] Figure B Figure A 1.0 1.0 0.860 0.8 0.8 0.690 0.6 0.4 Proportion 0.6 0.4 0.290 0.2 0.140 0.2 0.000 0.000 0.000 0.010 0.010 0.000 0.0 0.0 T 1 2 3 4 5 1 2 3 4 5 Median Median Figure C 1.0 0.880 0.8 0.6 0.4 0.2 0.120 0.000 0.000 0.000 0.0 T T 1 2 3 4 5 Median
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