Twelve college students were surveyed about the distance from their house to

the college they attended.
12 18 54
13 15 24
8 5 14
27 1 20
1. Using the data set above, find the percentile ranking for the data point 24. (is this 75th percentile?
2. Using the data set above, what distance corresponds to the 58th percentile? is this 15?

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Please see January 19th post, that noone answered...

The only tutor I've noticed who knows anything about statistics is PsyDAG. You'll need to wait for him to come back online ... and label your posts correctly so he'll find them.

To find the percentile ranking for a given data point, you can follow these steps:

1. Sort the data set in ascending order. In this case, the sorted data set would be:
1, 5, 8, 12, 13, 14, 15, 18, 20, 24, 27, 54.

2. Calculate the total number of data points, which in this case is 12.

3. Determine the position of the data point within the sorted data set. In this case, the data point is 24, and it is located in the 10th position.

4. Use the following formula to calculate the percentile ranking:
percentile = (position / total number of data points) x 100.

In this case, the percentile ranking for the data point 24 would be:
percentile = (10 / 12) x 100 = 83.33.

So, the percentile ranking for the data point 24 is approximately 83.33. This means that the data point 24 is at the 83.33rd percentile.

Regarding your second question, to determine the distance corresponding to a specific percentile, you can follow the same steps as above:

1. Sort the data set in ascending order.

2. Calculate the total number of data points.

3. Identify the position corresponding to the desired percentile. In this case, you are looking for the distance at the 58th percentile.

4. Locate the data point that corresponds to the identified position.

In this example, the distance at the 58th percentile would be approximately 15. Therefore, your answer is correct.