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Exercises Probability and the bell curve

Example 6.11 from Statistics, 6.2 Using the Normal Distribution

(part 1)

a. Calculate the interquartile range (IQR).

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
a.
- IQR = Q₃ – Q₁
- Calculate Q₃ = 75^th percentile and Q₁ = 25^th percentile.
- Recall that we can use invNorm to find the k-value. We can use this to find the quartile values.
- invNorm(0.75,36.9,13.9) = Q₃ = 46.2754
- invNorm(0.25,36.9,13.9) = Q₁ = 27.5246
- IQR = Q₃ – Q₁ = 18.8

How did it go?

Previous (part 3)Next (part 2)

From Statistics (High school edition) by OpenStax (Rice University), section 6.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.