Answer
mean = 118.06
median = 117
mode = 134.3
Step-by-step explanation
The mean is computed as follows:
[tex]mean=\frac{sum\text{ of the observations}}{total\text{ number of observations}}[/tex]In this case:
[tex]\begin{gathered} \text{ mean }=\frac{92.7+107.5+105.4+134.3+134.3+116.8+127.8+134.3+110.3+117.2}{10} \\ \text{mean}=\frac{1180.6}{10} \\ \text{mean}=118.06 \end{gathered}[/tex]To find the mode, first, we need to order the values from least to greatest, as follows:
92.7, 105.4, 107.5, 110.3, 116.8, 117.2, 127.8, 134.3, 134.3, 134.3
The median is the number of this ordered list. Given that there are 10 values, then there are 2 middle numbers, one at the 5th position, and another at the 6th position. In these cases, the median is the average between these two numbers, that is,
[tex]\begin{gathered} \text{ median}=\frac{116.8+117.2}{2} \\ \text{med}\imaginaryI\text{an}=\frac{234}{2} \\ \text{med}\imaginaryI\text{an}=117 \end{gathered}[/tex]The mode is the most frequent value. In this case, the most frequent value is 134.3 with 3 appearances
