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Answer :
Number of modes in the data set 1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00 is option (D) 3
The mode is the most frequently occurring value in a dataset. To find the modes in a dataset, we need to determine the values that occur most frequently. In the given dataset, we can see that some values occur more than once.
To start, we can sort the values in ascending order,
1.50, 1.70, 2.00, 2.00, 2.00, 2.00, 2.30, 2.30, 2.40, 2.40, 2.00
Now, we can count the number of occurrences of each value.
1.50 occurs once
1.70 occurs once
2.00 occurs four times
2.30 occurs twice
2.40 occurs twice
From this, we can see that the values 2.00 occur most frequently, and therefore, it is a mode. However, there are two more values that occur twice, namely, 2.30 and 2.40. Hence, these two values are also modes of the dataset.
There are three modes in the dataset: 2.00, 2.30, and 2.40.
Therefore, the correct option is (D) 3
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