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Exploring Data Videos 25 videos

AP Statistics 5.2 Exploring Data
23 Views

AP Statistics 5.2 Exploring Data. Which method would not be a good option?

AP Statistics 2.1 Exploring Data
210 Views

AP Statistics 2.1 Exploring Data. How does this change affect the mean, standard deviation, and IQR?

AP Statistics 5.1 Exploring Data
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AP Statistics 5.1 Exploring Data. What does this information tell us about the data?

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AP Statistics 3.3 Exploring Data 206 Views


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Description:

AP Statistics: Exploring Data Drill 3, Problem 3. What is the interquartile range?

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English Language

Transcript

00:03

You have the right to remain shmoopy.

00:05

If your history test scores are 65, 71, 76, 79 and 87, what is the interquartile range?

00:11

And here are the potential answers...

00:15

We're given a bunch of test scores and we want to find the IQR, or interquartile range.

00:22

Remember that the IQR is the distance between

00:24

Q1 and Q3 in the five number summary of a set of data.

00:28

As its name suggests, a five number summary... summarizes the data of 5 numbers.

00:35

Those five numbers are: minimum, q1, median,

00:39

q3, and maximum. It's obvious that minimum is the smallest,

00:43

and maximum is the biggest. Not too far off is median, which is the middle

00:46

value. Q1 is between the minimum and median, and Q3 is between the median and maximum.

00:52

So, to find our IQR, we'll want to subtract Q1 from Q3.

00:56

Since our data is only 5 values, it's easy to figure out the values we want for our 5

01:01

number summary. Then, it's a simple matter of subtracting

01:04

71 from 79 to get 8.

01:07

The IQR is 8, so our answer is (E).

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