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Consider the following data set:1.21.31.31.31.61.71.81.81.81.92.12.22.5 The rank assigned to the three observations of value 1.3 is:Group of answer choices2.5.3.5.3.2.

Question

Consider the following data set:1.21.31.31.31.61.71.81.81.81.92.12.22.5 The rank assigned to the three observations of value 1.3 is:Group of answer choices2.5.3.5.3.2.

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Solution

When assigning ranks in a data set, if there are tied values, each of these values receives the average of the ranks they would have received if they were not tied.

In this case, the three observations of value 1.3 are the second, third, and fourth observations in the ordered data set. If these values were not tied, they would receive ranks 2, 3, and 4.

However, because they are tied, we take the average of these ranks. The average of 2, 3, and 4 is (2+3+4)/3 = 3.

So, the rank assigned to the three observations of value 1.3 is 3. Therefore, the correct answer is 3.

This problem has been solved

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