The following shows the heart rate (in beats/minute) of a person, measured throughout the day:
73, 75, 84, 76, 93, 79, 85, 80, 76, 78, 80.
Assume the data are an iid sample from $\mathrm{N}(\theta, \sigma^2)$, where $\sigma^2$ is known at the observed sample variance. Denote the ordered values by $x_{(1)}, \cdots, x_{(11)}$. Draw using R and compare the likelihood of $\theta$ if