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I)
1)
Range= Maximum value – Minimum value
Range = 38 - 7 = 31
2)
Range = 140 - 90 = 50
II)
a)
Mean = (Sum of all Data)/(Numbers of Data)
Mean = (20 + 21 + 18 + 14 + 9 + 12 + 25)/7 = 17
Mean Deviation = (Σ(mean - data))/(number of data)
MD = (|20 - 17| + |21 - 17| + |18 - 17| + |14 - 17| + |9 - 17| + |12 - 17| + |25 - 17|)/7
MD = (3 + 4 + 1 + 3 + 8 + 5 + 12)/7 = 5.14
Data (Mean - Data)²
9 144
12 25
14 64
18 9
20 1
21 16
25 9
Σ(Mean - Data)² = 144 + 25 + 64 + 9 + 1 + 16 + 9 = 268
Variance = (Σ(Mean - Data)²)/(n - 1)
where n = 7
Variance = (268)/(7 - 1) = 44.67
Standard Deviation = sqrt of Variance
SD = sqrt 44.67 = 6.68
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