Lobsters are crustaceans commonly found in the waters of the Atlantic Ocean off the North American coast between Maine and North Carolina. Researchers studied the weights of these creatures over a period of a few years. Some of the results are displayed in the table below. $$ \begin{array}{|c|c|} \hline \text { Year } & \text { Average Weight (kg) } \\ \hline 2005 & 0.43 \\ \hline 2006 & 0.41 \\ \hline 2007 & 0.37 \\ \hline 2008 & 0.43 \\ \hline 2009 & 0.38 \\ \hline \end{array} $$ The researchers hope to find the most commonly occurring lobster weight for the lobsters studied during the five-year period shown above. The researchers must calculate the Select... of the weights, which is You may use a calculator.

Step by step solution

01

Identify the dataset

We first need to identify the dataset of the average lobster weights for each year: Years: 2005, 2006, 2007, 2008, 2009 Weights: 0.43 kg, 0.41 kg, 0.37 kg, 0.43 kg, 0.38 kg

02

Calculate the frequency of each value

Next, we will calculate the frequency of occurrence of each value in the dataset. 0.43 kg: 2 times (2005, 2008) 0.41 kg: 1 time (2006) 0.37 kg: 1 time (2007) 0.38 kg: 1 time (2009)

03

Determine the mode

To find the most commonly occurring lobster weight, we must identify the value with the highest frequency. In this case, the weight 0.43 kg occurred the most (2 times) during the five-year period.

04

Answer the question

The most commonly occurring lobster weight for the lobsters studied during the five-year period is 0.43 kg.

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