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Otrada [13]
3 years ago
6

two basketball teams have a mean height of 6 feet and a median height of 6 feet, but the interquartile range of the first team i

s much greater than the interquartile range of the second team. How can this be? Explain.
Mathematics
1 answer:
inna [77]3 years ago
6 0
There are more basketball players on the second team that still gives a a mean height of 6 feet but have a larger range, also the first team has mostly basketball players in a range from about 5 10 to to 6 2 the range for the second team is most likely somewhere from 5 5 to 6 5.
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Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is 79\ units

Step-by-step explanation:

Part a) Find the value of x

we know that

The <u>Triangle Proportionality Theorem,</u> states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

\frac{3x-5}{3x-5+10}=\frac{28-8}{28}\\ \\\frac{3x-5}{3x+5}=\frac{20}{28} \\ \\(3x-5)(28)=(3x+5)(20) \\ \\84x-140=60x+100\\ \\84x-60x=140+100\\ \\24x=240\\ \\x=10

Part b) we know that

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P=JK+KL+JL

substitute the values

P=(3x+5)+28+16=3x+49

substitute the value of x

P=3(10)+49=79\ units

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