The annual profits of five large corporations in a certain area are given below.

Question

The annual profits of five large corporations in a certain area are given below. Which measure of central tendency should be used? exist207,000 exist215,000 exist235,000 exist205,000 exist1, 285,000 A) mode B) mean C) standard deviation D) median Use the side-by-side boxplots below to answer the question. The boxplots summarize the number of sentenced prisoners by state in the Midwest and West. Based on the boxplot for the West, which of the following is true? A) 50% of the states sentenced less than 22, 662 prisoners. B) 50% of the states sentenced less than 15, 706 prisoners. C) 25% of the states sentenced less than 3, 888 prisoners. D) 25% of the states sentenced more than 15, 706 prisoners. Based on the boxplot for the Midwest, which of the following is true? A) 25% of the states sentenced more than 29, 928 prisoners. B) 50% of the states sentenced more than 29, 928 prisoners. C) 25% of the states sentenced less than 1, 435 prisoners. D) 50% of the states sentenced less than 4, 322 prisoners.

Explanation / Answer

Solution:-

1) (D) Median, This measure of central tendency should be used because the distribution is highly skewed.

2) (D) 25 % of the states sentenced more than 15,706 prisoners.

Becuase 15,706 is the third quartile of the distribution.

3) (A) 25% of the states sentenced more than 29,928 prisoners.

Becuase 29,928 is the third quartile of the distribution.

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