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The 5 number summary are
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
<h3>How to identify the 5 number summary?</h3>The complete question is in the attached image
The 5 number summary of box plot are:
- Minimum
- Lower quartile
- Median
- Upper quartile
- Maximum
Each of these summaries are represented by the vertical lines of the box plot
From the attached box plot, we have:
Minimum = 10, Lower quartile = 11, Median = 12, Upper quartile = 17 and Maximum = 19
Read more about 5 number summary at:
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<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>x on the interval [0, 2π)
<h3>Solution</h3>Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}