Solution
- The formula for finding the mean of a dataset is
[tex]\begin{gathered} \bar{x}=\sum_{i=1}^n\frac{x_i}{n}=\frac{x_1+x_2+x_3+x__4+...+x_n}{n} \\ where, \\ x_i=\text{ The individual data points} \\ n=\text{ The number of data points in the data set} \\ \bar{x}=\text{ The mean} \end{gathered}[/tex]- The dataset given is:
108, 305, 252, 113, 191
- Thus, we can infer that:
[tex]\begin{gathered} x_1=108,x_2=305,x_3=252,x_4=113,x_5=191 \\ \\ \text{ The number of datapoints is }n=5 \end{gathered}[/tex]- Now, we can proceed to find the mean of the dataset as follows:
[tex]\begin{gathered} \bar{x}=\frac{108+305+252+113+191}{5} \\ \\ \therefore\bar{x}=193.8 \end{gathered}[/tex]Final Answer
The mean of the dataset is 193.8