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
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 |