Summary stats:
i) Mean µ = 1nx = 113 (6 + 26 + 28 + 30 + 32 +34 + 39 + 41 + 46 + 46 + 68 + 100 + 124 + 132) = 113 (706) = 54.3077 ii) Median = Middle (x) = 39 iii) Standard deviation σ = 1n i=1n(x₁–µ)² Standard deviation σ = 113 (18976.7695) = 38.2067 iv) Inter quartile Range = Q₃ - Q₁
6, 26, 28, 30, 32, 34, 39, 41, 46, 68, 100, 124, 132
Q₃ = 34n = 34 13 = 9.75th term = 12 (68 + 100) = 84 Q₁ = 14n = 14 13 =3.25th term = 12 (28 + 30) = 29 IQR= 84 – 29 = 55 v) Range = Max x – Min x = 132 - 6 = 126
Distribution of the data
The mean is more than the median indicating that the data is not normally distributed and is positively skewed. This implies ...