Questions: Complete the five-number summary for the west coast teams. Lowest Value Lower Quartile Median Upper Quartile Highest Value 0.367 0.416 0.520 0.582 0.583 Choose the correct boxplot for the west coast teams below. A. B. C. D. Find the standard deviation for each of the data sets. The standard deviation for the east coast teams is 0.085. The standard deviation for the west coast teams is 0.089. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.

Complete the five-number summary for the west coast teams. Lowest Value Lower Quartile Median Upper Quartile Highest Value 0.367 0.416 0.520 0.582 0.583 Choose the correct boxplot for the west coast teams below. A. B. C. D. Find the standard deviation for each of the data sets. The standard deviation for the east coast teams is 0.085. The standard deviation for the west coast teams is 0.089. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.
Transcript text: Complete the five-number summary for the west coast teams. Lowest Value | Lower Quartile | Median | Upper Quartile | Highest Value 0.367 | 0.416 | 0.520 | 0.582 | 0.583 Choose the correct boxplot for the west coast teams below. A. B. C. D. Find the standard deviation for each of the data sets. The standard deviation for the east coast teams is 0.085. The standard deviation for the west coast teams is 0.089. Apply the range rule of thumb to estimate the standard deviation of each of the data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.
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Solution

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Solution Steps

Step 1: Identifying the five-number summary

The five-number summary for the west coast teams is already provided in the problem:

  • Lowest Value: 0.367
  • Lower Quartile: 0.416
  • Median: 0.520
  • Upper Quartile: 0.582
  • Highest Value: 0.583
Step 2: Choosing the correct boxplot

The correct boxplot will have the following features based on the five-number summary from Step 1:

  • The leftmost whisker starts at 0.367.
  • The left edge of the box is at 0.416.
  • The vertical line inside the box is at 0.520.
  • The right edge of the box is at 0.582.
  • The rightmost whisker ends at 0.583.

Boxplot A matches these values.

Step 3: Calculating the standard deviation

The standard deviations are provided in the problem:

  • East coast teams: 0.085
  • West coast teams: 0.089

Final Answer:

  1. Five-number summary: Lowest Value: 0.367, Lower Quartile: 0.416, Median: 0.520, Upper Quartile: 0.582, Highest Value: 0.583
  2. Correct Boxplot: A
  3. Standard Deviations: East coast: 0.085, West coast: 0.089
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