A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
1 answer:
Answer:
First box plot
Step-by-step explanation:
In the figure attached, the options are shown.
The left end of the box is the lower quartile (also called quartile 1 or Q1)
The right end of the box is the upper quartile (also called quartile 3 or Q3)}
The interquartile range (IQR) is computed as follows:
IQR = Q3 - Q1
If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8
The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5
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Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
