From the problem, we have the data :
[tex]9,3,2,1,14,16,16,7,5[/tex]Let's arrange the data from least to greatest.
[tex]1,2,3,5,7,9,14,16,16[/tex]Mean is the average of the data or the sum divided by the number of data.
That will be :
[tex]\begin{gathered} \operatorname{mean}=\frac{1+2+3+5+7+9+14+16+16}{9} \\ \operatorname{mean}=8.1 \end{gathered}[/tex]Median is the middle term of the data when arranged from least to greatest. Since we have a total of 9 data, the middle term will be the 5th data.
That will be :
[tex]\operatorname{median}=7[/tex]Mode is the data with the most number of repetition.
Since 16 appears twice.
That will be :
[tex]\text{Mode}=16[/tex]Range is the difference between the highest value and the smallest value.
That will be :
[tex]\begin{gathered} \text{Range}=16-1 \\ \text{Range}=15 \end{gathered}[/tex]ANSWERS :
mean = 8.1
median = 7
mode = 16
range = 15
