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. The five-number summaries below were generated on the TI-84Plus/TI-83Plus calculators for the box plots.

(a) Which state has the lowest premium? the highest?

---Select--- California Texas Pennsylvania has the lowest premium, and ---Select--- California Pennsylvania Texas has the highest.

(b) Which state has the highest median premium?

TexasPennsylvania    California

(c) Which state has the smallest range of premiums? the smallest interquartile range?

---Select--- Texas Pennsylvania California has the smallest range, and ---Select--- Pennsylvania California Texas has the smallest IQR.

(d) Match the five-number summaries to the appropriate box plots.

California (i); Texas (ii); Pennsylvania (iii)Pennsylvania (i); Texas (ii); California (iii)     Texas (i); Pennsylvania (ii); California (iii)Pennsylvania (i); California (ii); Texas (iii)Texas (i); California (ii); Pennsylvania (iii)California (i); Pennsylvania (ii); Texas (iii)

Explanation / Answer

FOR THIS QUESTION TO BE SOLVED WE HAVE TO DO PART D 1ST

D) HERE WE HAVE TO MATCH WITH THE CORRECT PLOT WITH EACH CITY

THIS CAN EASILY BE DONE BY SEEING THE MAX OF EACH PLOT

THE HIGHEST MAXIMUM IS FOR PENNSYLVANIA THEREFORE IT WILL GO WITH 2ND

THE 2ND HIGHEST MAXIMUM IS FOR TEXAS THEREFORE IT WILL GO WITH 1ST

AND CALIFORNIA WILL HAVE 3RD

A ) AS PER THE PLOT THE LOWEST IS FOR CALIFORNIA AND HIGHEST IS FOR PENNSYVANIA

B)HIGHEST MEDIAN IS FOR THE 2ND DISTRIBUTION THEREFORE IT WILL BE PENNSYVANIA

C) SMALLEST RANGE = MAXIMUM - MINIMUM = 4482-2323 = 2159 = CALIFORNIA

SMALLEST IQR = Q3-Q1 = 3652- 2758 = 894 = TEXAS

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.