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These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012.
Republican
159
170.5 238 5
356
525
Democratic
13
181
299
3675
379
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?

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Answer:

The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

Step-by-step explanation:

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The correct statement is; The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

How to find the interquartile range?

IQR(interquartile range)  is the difference between third and first quartile.

[tex]IQR = Q_3 -Q_1[/tex]

The lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

The third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

From the given plots, we have:

Republican

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 356 - 170.5

IQR = 185.5

Democratic

[tex]IQR = Q_3 -Q_1[/tex]

IQR = 367.5 - 181

IQR = 186.5

Hence, The interquartile range (IQR) for Democratic electoral votes, 186.5, is very nearly equal to the IQR for Republican votes, 185.5.

Learn more about quartiles here:

brainly.com/question/9260741

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