Refer to the indicated data set in Appendix B. Use computer...

Name: Problem 26, Chapter 3: Elementary Statistics
Uploaded: 2021-08-18T15:59:22-08:00
Duration: 4 min 21 s
Channel: Maxime Rossetti
Description: Refer to the indicated data set in Appendix B. Use computer software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as “minutes.” Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff.

Refer to the indicated data set in Appendix B. Use computer software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as “minutes.” Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff.

Refer to the indicated data set in Appendix B. Use computer software or a calculator to
find the range, variance, and standard deviation. Express answers using appropriate units, such as “minutes.”
Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff.

Key Concepts

Variance

Variance is a measure of the dispersion within a data set that calculates the average of the squared differences from the mean. It quantifies how much the data points deviate from the average value, thus providing a sense of overall variability in the data.

Standard Deviation

Standard deviation is the square root of the variance and offers a measure of dispersion in the same units as the original data. It indicates how spread out the data values are around the mean, making it a useful and intuitive metric for assessing variability.

Range

The range is a measure of dispersion that shows the difference between the maximum and minimum values in a data set. It provides a simple way to understand the spread of the data, though it can be sensitive to outliers since it only considers the extreme values.

Transcript

00:01 So we're going to be looking at taxi times on the runway, and we'll go to set 15 in appendix b.

00:09 We'll find the range, variance, and standard deviation of these things.

00:15 So to start us off, we can find the range quite easily.

00:19 What we have to do is subtract our largest value from our smallest value, or high and low.

00:25 So that's going to be 49 and 12.

00:29 Take the difference between that to get our range, and that's the.

00:32 37.

00:35 And since we're looking at minutes as our units, we're going to tack on that.

00:40 Minutes.

00:43 Now for the variance, there's a couple of data values here.

00:47 We have a sample size of 48, so quite a few numbers to go through.

00:53 What i would recommend doing is in excel, you write down all of the 48 values, enter them down, you know, 1 through 48.

01:05 In this column, let's call that a.

01:08 And then in column b i want you to find what the average is actually that's not you're just going to be this going to be a single cell so all you have to do is say highlight a single cell in there and in there you're going to write equals mean actually no go for average so average maybe it's avg or abg average so so you'll just open the parentheses, highlight all these cells here, and that's what you'll highlight.

01:52 And then that'll give you your average.

01:56 Then what you can do is copy that number that you get into a second column.

02:02 Let's call that column c.

02:06 And then what you'll do is say that this equals, open through parentheses, highlight the first cell, and then subtract it from the mean, which is in b...

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