Respuesta :

We have the distribution;

74, 90, 21, 68, 62, 84, 34, 87,74.

Let's arrange this from ascending to descending order, we obtain;

[tex]21,34,62,68,74,74,84,87,90[/tex]

i. The mean or average of this distribution is

[tex]\begin{gathered} \frac{21+34+62+68+74+74+84+87+90}{9}=\frac{594}{9} \\ \operatorname{mean}=66 \end{gathered}[/tex]

ii. The median is the central value, in this distribution, there are 9 values, so the median value is the 5th value.

[tex]\operatorname{median}=74[/tex]

iii. The mode is the value with the highest frequency, this is the most occurring value, in this distribution;

[tex]\text{mode}=74[/tex]

iv. The range is the difference between the highest and lowest values, this is;

[tex]\begin{gathered} 90-21=69 \\ \text{Range}=69 \end{gathered}[/tex]