Answer with explanation:
The value or Measure of Dispersion which describe the data set =27
Variate in Data set arranged in ascending order=19,22,24,28,31
⇒Mean of the variate in Data set
[tex]=\frac{19+22+24+28+31}{5}\\\\=\frac{124}{5}\\\\=24.8[/tex]
⇒Median of the data Set will be Middle most value.There are total of 5 variate in Data set,so median will be
[tex]\rightarrow \frac{5+1}{2}=3^{rd} \text{Variate}=24[/tex]
⇒Mode is that value which occur maximum number of times in the data set.There is no variate in data set whose value is 27.
But, Mean and Median values are equal to ,24.8 and 24 respectively.
Taking Mean=24.8 , into consideration
24.8 -19=5.8
31-24.8=6.2
Taking Median=24 ,into consideration
24-19=5
31-24=7
Mean is nearer to Maximum and Minimum Variate.
⇒Mean is the Measure of Dispersion which best describes the data set.
