Question

what is the mean? 66, 594, 69, or 74what is the median? 74, 66, 69, or 75what is the mode? 74, 90, 21, or 66what is the range? 69, 66, 74, or 594

Answer 1

We have the distribution;

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

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

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

i. The mean or average of this distribution is

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

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

$\operatorname{median}=74$

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

$\text{mode}=74$

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

$\begin{gathered} 90-21=69 \\ \text{Range}=69 \end{gathered}$