3. (exercise 3.13 from textbook) Bias and variability. Figure 3.5 shows the be-

Question

3. (exercise 3.13 from textbook) Bias and variability. Figure 3.5 shows the be- havior of a sample statistic in many samples in four situations. These graphs are like those in Figure 3.1 and Figure 3.2. That is, the heights of the bars show how often the sample statistic took various values in many samples from the same population. The true value of the population parameter is marked on each graph. Label each of the graphs in Figure 3.5 as showing high or low bias and as showing high or low variability.

Explanation / Answer

Answer) Depending upon the spread of the data, we decide about the bias of the distribution and its variability.

According to graph a) The distribution has high variability and the distribution is highly biased

                                b) The distribution has low variability and the distribution is unbiased/low biased.

                                c) The distribution has high variability and the distribution is unbiased/low biased.

                               d) The distribution has low variability and the distribution is highly biased.

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