Answer:
Range = 19-11 = 13
Median = (12+15)/2 = 13.5
Mean = 14.3
IQR = 5
Variance = 8.45
Standard deviation = 2.907
Explanation:
12 17 19 15 12 18 11 15 12 12
Arranging in ascending order
11 12 12 12 12 15 15 17 18 19
Range = 19-11 = 13
Median = (12+15)/2 = 13.5
[tex]Q_1=12[/tex]
[tex]Q_3=17[/tex]
Interquartile range
[tex]IQR=Q_3-Q_1\\\Rightarrow IQR=17-12\\\Rightarrow IQR=5[/tex]
Interquartile range is 5
Mean
[tex]\bar{x}=\frac{12+17+19+15+12+18+11+15+12+12}{10}\\\Rightarrow \bar{x}=14.3[/tex]
[tex]v=\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\bar{x})^2\\\Rightarrow v=\frac{1}{9}\times 76.1\\\Rightarrow v=8.45[/tex]
Variance = 8.45
[tex]s=\sqrt v\\\Rightarrow s=\sqrt{8.45}\\\Rightarrow s=2.907[/tex]
Standard deviation = 2.907
