Approximate the mean for the following data set. Round your...

Transcript

00:01 So we're given a frequency table for a bunch of ranges, and we want to find the approximate mean.

00:09 So what we're going to do first is to help ourselves out, we're going to come up with the total frequency.

00:16 So we're just going to add up all these numbers.

00:18 5 plus 14 is 19, 19 plus 5 is 24, 24 plus 13 is 37, 37 plus 15 is 15, is 15, 52 and 52 plus 8 is 60.

00:36 That's going to be helpful to us because we're going to need it to find our mean at the very end.

00:42 Now, in order to find, like the actual mean, we have to find our midpoints for each of the classes.

00:49 So the midpoints for each class is just the average of the lowest and the highest value in each strand.

00:57 So 0 and 11, the average is 5 .5 .5.

01:00 A half.

01:02 You can call these the mid points.

01:06 Between 12 and 23, it's the average.

01:10 You just add 12 and 23.

01:11 You get 35, 35 divided by 2.

01:15 You end up with 17 and a half.

01:19 Same thing, 24 and 35.

01:21 You get 59.

01:23 59 divided by 2 is 29.

01:29 59 divided by 2 is 29 .5.

01:33 And by now you should start seeing a pattern.

01:35 And that is in between each of the midpoint, it's a difference of 12, just like the difference between each of the lower limits for each of the classes and the upper limits for each of the classes.

01:49 So for the next ones, i'm just going to add 12 to each midpoint on each successive level.

01:56 So 29 .5 plus 12 is 41 .5...

Question

Approximate the mean for the following data set. Round your answer to one decimal place. Class Frequency 0-11 5 12-23 14 24-35 5 36-47 13 48-59 15 60-71 8

Question

Approximate the mean for the following data set. Round your answer to one decimal place. Class Frequency 0-11 5 12-23 14 24-35 5 36-47 13 48-59 15 60-71 8

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