Consumer Reports rated automobile insurance companies and gave annual premiums f

Question

Consumer Reports rated automobile insurance companies and gave annual premiums for top-rated companies in several states. The figure below shows box plots for annual premiums for urban customers (married couple with one 17-year-old son) in three states. The box plots were all drawn using the same scale on a TI-84Plus/TI-83Plus calculator. (a) Which state has the lowest premium? the highest? lowest, California; highest, Texas lowest, Texas; highest, Pennsylvania lowest, Pennsylvania; highest, California lowest, California; highest, Pennsylvania (b) Which state has the highest median premium? Texas Pennsylvania California (c) Which state has the smallest range of premiums? the smallest interquartile range? smallest range, California; smallest IQR, Texas smallest range, California; smallest IQR, Pennsylvania smallest range, Texas; smallest IQR, Pennsylvania smallest range, Pennsylvania; smallest IQR, California (d) The other set of figures give the five-number summaries generated on the TI-84Plus/TI-83Plus calculators for the box plots. Match the five-number summaries to the appropriate box plots. Texas (a); California (b); Pennsylvania (c) Texas (a); Pennsylvania (b); California (c) Pennsylvania (a); Texas (b); California (c) California (a); Pennsylvania (b); Texas (c) Five-Number Summaries for Insurance Premiums M&M; plain candies come in various colors. According to the M&M;/Mars Department of Consumer Affairs, the distribution of colors for plain M&M; candles is as follows.

Explanation / Answer

(a)

Since lower fence of California is at lowest point so lowest: California

Since upper fence of Pennsylvania is at highest point so highest: Pennsylvania

(b)

Highest median: Pennsylvania

The mddle line of box plot of Pennsylvania is right most so it has highest median.

(c)

Smallest range: California

Smallest IQR: Texas

(d)

Second option is correct.

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