Consider the accompanying sample data set. a. Construct a...

Consider the accompanying sample data set. a. Construct a box plot for the data set. b. Identify any outliers that may exist in the data set. Click the icon to view the sample data set. a. Which of the following is the correct box plot for the data set? A. B. C. D. 120 150 180 210 120 150 180 210 120 150 180 210 120 150 180 210 b. Identify any outliers that exist for the data set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The outlier(s) is(are) . (Use a comma to separate answers as needed.) B. There are no outliers.

Transcript

00:01 So this problem has a repeat of four for each of four different numbers.

00:06 If you're going to make a box spot, number one, you want them all in order.

00:11 Find the middle of the values first to find the median.

00:14 So right in between 150 and 180 would be the median value because there are eight above and eight observations below.

00:25 So you need to find where is the middle of 150 and 180? 150 plus 180 divided by 2 is 165.

00:31 So that is always marked as the middle value in a box spot.

00:36 So we see that there.

00:38 And then you find the middle of the lower half of the data and the upper half of the data.

00:43 Middle of the lower half the data for below, for above that mark, would be midway between 120 and 150, which is 135.

00:51 And then same thing with 180 and 210, maybe at 195.

00:57 So those for a box plot should be marked with vertical lines.

01:02 So at 135 and 195 should be our box.

01:08 Then we extend from the edges of the box to the values that are not outliers.

01:14 So what we need to do is check for outliers, first of all.

01:18 So for the calculation for outlier limits, you need to find out, first of all, what is the iq? are the interquartile range.

01:28 Q3 take away.

01:29 Q1 is that calculation, and that is a spread of 60.

01:34 So if we have a spread of 60, these are the calculations then that we want to do to find those cutoffs.

01:43 So if i do q1 of 135, and i subtract off 1 .5 times 60, the low outlier limit turns out to be 45...

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