Unit 7. Day 12..

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Presentation transcript:

Unit 7. Day 12.

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

Measures of Central Tendency Measures of Variability Do Example A Measures of Central Tendency Measures of Variability Mean: Range: Median: IQR: Mode: MAD:

5, 12, 1, 4, 0, 6, 9, 10, 3, 0, 5, 3, 2, 7, 8 Mean: 5 + 12 + 1 + 4 + + 6 + 9 + 10 + 3 + + 5 + 3 + 2 + 7 + 8 15 75 15 = 5 Median: 5 0, 0, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 12 Mode: 0, 3, 5

Bonus: Inter-Quartile Range: 8 − 2 = 6 12 − = 12 Quartiles 0, 0, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 12 UQ LQ Bonus: Inter-Quartile Range: 8 − 2 = 6 Mean Absolute Deviation:

5, 12, 1, 4, 0, 6, 9, 10, 3, 0, 5, 3, 2, 7, 8 Mean: 5 12 14 1 2 10 16 3 4 8 18 6 Mean Absolute Deviation: 7 5 + 5 + 4 + 3 + 2 + 2 + 1 + + + 1 + 2 + 3 + 4 + 5 + 15 44 15 = 2.9 3

4, 16, 16, 1, 4, 6, 3, 3, 2, 4, 5, 1, 5, 6, 2, 3, 5, 4 Mean: 5 Range: 15 More spread out Median: 4 IQR: 2 Less spread out Mode: 4 MAD: 2. 6 Less spread out 4 5 5, 12, 1, 4, 0, 6, 9, 10, 3, 0, 5, 3, 2, 7, 8 Mean: 5 Range: 12 Less spread out Median: 5 IQR: 6 More spread out Mode: - MAD: 2.9 3 More spread out 4 5