Unit 7. Day 13..

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Presentation transcript:

Unit 7. Day 13.

We need a representative number 4, 16, 16, 1, 4, 6, 3, 3, 2, 4, 5, 1, 5, 6, 2, 3, 5, 4 We need a representative number Is the data is located near the center? Is the data is located near the center or is the data is spread out? (Best representative comes form the center) Measures of Central Tendency Measures of Variability/Dispersion/Spread MEAN (average) Range Inter-Quartile Range (IQR) MEDIAN Mean Absolute Deviation (MAD) MODE

Do dot plot only for Examples A & B Q: Do you think they will have similar centers? Q: Do you think they will have similar variability?

Example A: 13, 5, 6, 1, 6, 6, 4, 15, 7, 0, 9, 5, 2, 7, 4 Example B: 10, 12, 20, 5, 8, 9, 13, 10, 6, 12, 19, 11, 11, 9, 10

Calculate the measures of center and variability Measures of Central Tendency Measures of Variability Mean: Range: Median: IQR: Mode: MAD:

Example A: 13, 5, 6, 1, 6, 6, 4, 15, 7, 0, 9, 5, 2, 7, 4 Mean: 13 + 5 + 6 + 1 + 6 + 6 + 4 + 15 + 7 + + 9 + 5 + 2 + 7 + 4 18 90 15 = 6 Median: 6 0, 1, 2, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 13, 15 Mode: 6

Bonus: Inter-Quartile Range: 7 − 4 = 3 15 − = 15 Quartiles 0, 1, 2, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 13, 15 UQ LQ Bonus: Inter-Quartile Range: 7 − 4 = 3 Mean Absolute Deviation:

Mean Absolute Deviation: 6 13, 5, 6, 1, 6, 6, 4, 15, 7, 0, 9, 5, 2, 7, 4 2 10 12 14 16 1 3 4 6 8 18 Mean Absolute Deviation: 6 + 5 + 4 + 2 + 2 + 1 + 1 + + + + 1 + 1 + 3 + 7 + 9 15 42 15 = 2.8

Example B: 10, 12, 20, 5, 8, 9, 13, 10, 6, 12, 19, 11, 11, 9, 10 Mean: 10 + 12 + 20 + 5 + 8 + 9 + 13 + 10 + 6 + 12 + 19 + 11 + 11 + 9 + 10 15 165 15 = 11 Median: 10 5, 6, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 19, 20 Mode: 10

Bonus: Inter-Quartile Range: 12 − 9 = 3 20 − 5 = 15 Quartiles 5, 6, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 19, 20 UQ LQ Bonus: Inter-Quartile Range: 12 − 9 = 3 Mean Absolute Deviation:

10, 12, 20, 5, 8, 9, 13, 10, 6, 12, 19, 11, 11, 9, 10 Mean: 11 10 12 14 16 1 2 3 4 6 8 18 Mean Absolute Deviation: 1 + 2 6 + 5 + 3 + 2 + 2 + 1 + 1 + 1 + + + 1 + + 8 + 9 15 42 15 = 2.8

13, 5, 6, 1, 6, 6, 4, 15, 7, 0, 9, 5, 2, 7, 4 Mean: 6 Range: 15 Equally spread out Median: 6 IQR: 3 Equally spread out Mode: 6 MAD: 2.8 Equally spread out 10, 12, 20, 5, 8, 9, 13, 10, 6, 12, 19, 11, 11, 9, 10 Mean: 11 Range: 15 Equally spread out Median: 10 IQR: 3 Equally spread out Mode: 10 MAD: 2.8 Equally spread out