Question

In: Statistics and Probability

For Exercises rank each set of data. 10.9, 20.2, 43.9, 9.5, 17.6, 5.6, 32.6, 0.85, 17.6

For Exercises rank each set of data.

10.9, 20.2, 43.9, 9.5, 17.6, 5.6, 32.6, 0.85, 17.6

Solutions

Expert Solution

Step 1: Arrange the given data in ascending order.

Data 0.85 5.6 9.5 10. 17.6 17.6 20.2 32.6 43.9

 

Step 2: Start giving ranks to the given data. The lowest value here is assigned the rank 1 and the second lowest value is assigned the rank 2 and so on.

 

We notice that the number 17.6 appears twice in the data.

 

When a number appears more than once in a data, we look at the position of number 17.6 in the data. Here, the number 17.6 is appearing at 5th and 6th position. In such a case, we take the mean of 5 and 6 which is 5.5 (because the number 17.6 is appearing at 5th and 6th position) and assign the mean 5.5 as the rank to the number 17.6 as shown:

Data 0.85 5.6 9.5 10. 17.6 17.6 20.2 32.6 43.9
Ranking 1 2 3 4 5.5 5.5 7 8 9

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