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Use the graph below to estimate the lower and upper quartiles of the lengths.

Use the graph below to estimate the lower and upper quartiles of the lengths.

Answer

To estimate the lower and upper quartiles from the cumulative frequency graph:

  1. Lower Quartile (Q1): This is the 25th percentile. Find 25% of the total cumulative frequency, which is 5. From the graph, the lower quartile corresponds to a length of approximately 15 inches.
  2. Upper Quartile (Q3): This is the 75th percentile. Find 75% of the total cumulative frequency, which is 15. From the graph, the upper quartile corresponds to a length of approximately 30 inches.

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