Answer :

3 because 1.50, 2.00, and 1.70 have each been repeated 3 times im the data set

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Final answer:

The data set given has two modes, 1.50 and 1.70, which both appear three times. This makes the data set bimodal, with the correct answer to the question being '2'.

Explanation:

The data set in question is: 1.50, 1.70, 2.30, 2.30, 1.70, 2.00, 1.50, 1.50, 1.70, 2.00, 2.00. To find the number of modes, one must look for the number(s) that appear most frequently. In this data set, the number 1.50 appears three times, 1.70 appears three times, 2.30 appears twice, and 2.00 appears twice. Since both 1.50 and 1.70 have the highest frequency and they both appear three times, the data set has two modes, making it bimodal.

The answer to the question 'How many modes are in the data set?' is '2'.