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3 years ago

Find the interquartile range for a data set having the five-number summary: 4.9, 12.4, 20.5, 28.8, 34.3

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer:

16.4

Step-by-step explanation:

The interquartile range is the difference between the upper and lower quartiles.

Given the five figure summary, then

upper quartile = 28.8

lower quartile = 12.4

interquartile range = 28.8 - 12.4 = 16.4

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ATQ

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3 years ago

Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE

Snezhnost [94]

Answer:

$BE = 4\sqrt2$

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

$BD^2 = BA^2 + AD^2$

Since the shape is a square, then

$BA = AD = 8$

So:

$BD^2 = 8^2 + 8^2$

$BD^2 = 2(8^2)$

Take square roots

$BD = \sqrt{2(8^2)$

$BD = \sqrt{2} * 8$

$BD = 8\sqrt{2}$

BE is half BD.

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$BE = \frac{1}{2} * BD$

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2 years ago