1. Unit 7. Day 12.

2. 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

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

4. 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

5. Bonus: Inter-Quartile Range: 8 − 2 = 612 − = 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:

6. 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

7. 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