Soccer Team A: 5 9 5 4 6 5 1 5 6 4 Soccer Team B: 5 2 9 6 3 5 8 7 1 4

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Presentation transcript:

Soccer Team A: 5 9 5 4 6 5 1 5 6 4 Soccer Team B: 5 2 9 6 3 5 8 7 1 4 Soccer Team C: 7 1 8 3 9 9 1 2 7 3

A) 5, 9, 5, 4, 6, 5, 1, 5, 6, 4 5 9 5 4 6 5 1 5 6 4 Mean: 5 + 9 + 5 + 4 + 6 + 5 + 1 + 5 + 6 + 4 50 10 = = 5 10 Median: 5 Mode: 5 Range: 9 − 1 = 8 IQR: 6 − 4 = 2

A) 5, 9, 5, 4, 6, 5, 1, 5, 6, 4 1 2 3 4 5 6 7 8 9 10

B) 5, 2, 9, 6, 3, 5, 8, 7, 1, 4 5 2 9 6 3 5 8 7 1 4 Mean: 5 + 2 + 9 + 6 + 3 + 5 + 8 + 7 + 1 + 4 50 10 = = 5 10 Median: 5 Mode: 5 Range: 9 − 1 = 8 IQR: 7 − 3 = 4

B) 5, 2, 9, 6, 3, 5, 8, 7, 1, 4 1 2 3 4 5 6 7 8 9 10

C) 7, 1, 8, 3, 9, 9, 1, 2, 7, 3 7 1 8 3 9 9 1 2 7 3 Mean: 7 + 1 + 8 + 3 + 9 + 9 + 1 + 2 + 7 + 3 50 10 = = 5 10 Median: 5 Mode: − Range: 9 − 1 = 8 IQR: 8 − 2 = 6

C) 7, 1, 8, 3, 9, 9, 1, 2, 7, 3 1 2 3 4 5 6 7 8 9 10

Team A: IQR: 2 Mean: 5 Median: 5 Mode: 5 Range: 8 5 9 5 4 6 5 1 5 6 4 Team B: IQR: 4 Mean: 5 Median: 5 Mode: 5 Range: 8 5 2 9 6 3 5 8 7 1 4 IQR: 6 Team C: Mean: 5 Median: 5 Mode: − Range: 8 7 1 8 3 9 9 1 2 7 3

A) MAD: 1.2 1 2 3 4 5 6 7 8 9 10 MAD: 2 B) 1 2 3 4 5 6 7 8 9 10 C) MAD: 3 1 2 3 4 5 6 7 8 9 10

Mean Absolute Deviation WITHOUT counting spaces on the line plot? Can we find the Mean Absolute Deviation WITHOUT counting spaces on the line plot? 52 93 51 48 60 57 10 58 66 45 Mean: 54

Mean Absolute Deviation WITHOUT counting spaces on the line plot? Can we find the Mean Absolute Deviation WITHOUT counting spaces on the line plot? 52 93 51 48 60 57 10 58 66 46 Mean: 54.1

Team A: Mean: 5 Median: 5 Mode: 5 Range: 8 5 9 5 4 6 5 1 5 6 4 Team B: Mean: 5 Median: 5 Mode: 5 Range: 8 5 2 9 6 3 5 8 7 1 4 Team C: Mean: 5 Median: 5 Mode: − Range: 8 7 1 8 3 9 9 1 2 7 3

A) 5, 9, 5, 4, 6, 5, 1, 5, 6, 4 Mean: 5 1 1 + 9−5 4 4 + 5−5 + 4−5 1 −1 + 6−5 5−5 12 1 1 4 + 5−5 + 6−5 + 4−5 −1 1 + 5−5 + 1−5 −4 10 1.2

B) 5, 2, 9, 6, 3, 5, 8, 7, 1, 4 Mean: 5 5−5 + 2−5 + 9−5 + 6−5 + 3−5 + 5−5 + 8−5 + 7−5 + 1−5 + 4−5 10 + −3 + 4 + −1 + −2 + + 3 + 2 + −4 + 1 10 20 10 + 3 + 4 + 1 + 2 + + 3 + 2 + 4 + 1 10 = = 2

C) 7, 1, 8, 3, 9, 9, 1, 2, 7, 3 Mean: 5 7−5 + 1−5 + 8−5 + 3−5 + 9−5 + 9−5 + 1−5 + 2−5 + 7−5 + 3−5 10 −2 + −4 + 3 + −2 + 4 + 4 + −4 + 3 + 2 + −2 10 30 10 + 4 + 3 + 2 + 4 + 4 + 4 + 3 + 2 + 2 2 10 = = 3

MAD 1 2 3 4 5 6 7 8 9 10 MAD around the mean: 2.8 median mean 1 2 3 4 5 6 7 8 9 10 MAD around the mean: 2.8 MAD around the median: 2.6