In Exercises 21–28, use the same list of cell phone radiation ...

Question

In Exercises 21–28, use the same list of cell phone radiation levels given for Exercises 17–20. Find the indicated percentile or quartile.

P50

Accepted Answer

Welcome back, everyone. Use the following list of the batch life durations in hours for 25 different laptops to find the 60th percentile. Here we have our data set, and for our answer choices, A says it's 5.2 hours, B, 4.8 hours, C 6.3 hours, and the D 3.2 hours. Now recall, OK, that the position. Or index for a percentile i is equal to the percentile p divided by 100 multiplied by n the number of values. In this case, we're looking for the 60th percentile, so P equals 60, and we know we have 25 different laptops, so N equals 25. Thus this implies that the index for the 60th percentile is going to be equal to 60 divided by 100 multiplied by 25. Nor recall that for the index to work our data must be arranged in order. And if we look at our data set, we can tell that it's arranged in ascending order. So we can go ahead and find the index and use that to help us find the position or the place for the value that's at the 60th percentile. In this case, the index is really 60% of 25, which equals 15. Since 15 is a whole number, then that means. That if we take the average, OK. Of the 15th and 16th value we'll get this value of our 60th percentile, OK? So you can say thus the 60th percentile. Is the average. Of the 15th and 16th value. So that means we're gonna have to go to our data set and count up until we reach the 15th and then the 16th value. So now, notice here we have the 1st, 2nd, 3rd, 4th, 5th, 1st, 2nd, 3rd, 4th, 5th. Sorry, I just had to make sure 6th, 7th, 8th, 9th, 10th, 11th, 12th, 13th, 14th, 15th value is 5.1, and thus the 16th value is 5.3. What this implies then is that the 60th percentile is going to be equal to 5.1. Plus 5.3 divided by 2. Which will be equal to 10.4 divided by 2, which is 5.2. Thus, this tells us that the 60th percentile is 5.2 hours. A is the correct answer. Thanks a lot for watching everyone. I hope this video helped.

��app

In Exercises 21–28, use the same list of cell phone radiation levels given for Exercises 17–20. Find the indicated percentile or quartile.

P50

Key Concepts

Percentiles

Quartiles

Data Distribution

Watch next

����app

In Exercises 21–28, use the same list of cell phone radiation levels given for Exercises 17–20. Find the indicated percentile or quartile.P50