Let 7.05, 6.89, 6.62, 7.32, 7.48, 6.93, 7.17, 6.78 be a random sample from uniform U(theta-frac12,theta+frac12) distribution. Then which one of the following would be MLE for theta?

Q24Section I (Objective (Q1–Q80))24 of 80

Statistical Inference — range of valid MLEs for a fixed-width uniform location

Let $\{7.05, 6.89, 6.62, 7.32, 7.48, 6.93, 7.17, 6.78\}$ be a random sample from uniform $U\left(\theta-\frac12,\theta+\frac12\right)$ distribution. Then which one of the following would be MLE for $\theta$ ?

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