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Consider the following data set:11111213151616171819202222222225The rank assigned to the four observations of value 22 is:Group of answer choices13.5.12.5.13.12.

Question

Consider the following data set:11111213151616171819202222222225The rank assigned to the four observations of value 22 is:Group of answer choices13.5.12.5.13.12.

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Solution

To find the rank of the observations of value 22, we first need to arrange the data set in ascending order. The data set already appears to be in ascending order.

Next, we locate the observations of value 22 in the data set. There are four observations of value 22.

The rank of an observation is its position in the ordered data set. The first observation of 22 is the 13th number in the data set, the second observation of 22 is the 14th number, the third observation of 22 is the 15th number, and the fourth observation of 22 is the 16th number.

However, when there are multiple observations of the same value, we assign them the average of what their ranks would have been if they were different. So, we add up the ranks of the four observations (13 + 14 + 15 + 16 = 58) and divide by the number of observations (4), which gives us 14.5.

So, the rank assigned to the four observations of value 22 is 14.5.

This problem has been solved

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