q.11 - The Practice of Statistics for AP

Question

T7.11. Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram 

Which statistic would provide the best estimate of the parameter? Justify your answer 

Step-by-Step Solution

Answer

$\text{ The histogram A would provide the best estimate of the parameter. }$

Step 1 Given Information

The given histogram is

Step 2 Explanation

We know that the histogram which has all the bars centered on the true value and has the least variability provides the best estimate.

In the provided figure, histogram A provides the best estimate.

Hence, histogram A would provide the best estimate of the parameter.