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Jay measured the lengths of 16 fish. Use the graph below to estimate the lower and upper quartiles of the...

Jay measured the lengths of 16 fish. 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 value at the 25th percentile. Since there are 16 fish, the 25th percentile corresponds to the 4th fish. From the graph, locate the cumulative frequency of 4 and find the corresponding length. This is approximately 10 inches.
  2. Upper Quartile (Q3): This is the value at the 75th percentile. For 16 fish, the 75th percentile corresponds to the 12th fish. From the graph, locate the cumulative frequency of 12 and find the corresponding length. This is approximately 25 inches.

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