Question

These box plots show the number of electoral votes won by Democratic and

Answer 1

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

$IQR = Q_3 - Q_1$

Where

$Q_1 \to$ Lower quartile

$Q_2 \to$ Upper quartile

From the attached plots, we have:

Republican

$Q_1 = 170.5$

$Q_3 = 356$

So:

$IQR = 356 - 170.5$

$IQR = 185.5$

Democratic

$Q_1 = 181$

$Q_3 = 367.5$

So:

$IQR = 367.5 - 181$

$IQR = 186.5$

We have:

$IQR = 185.5$ --- Republican

$IQR = 186.5$ --- Democratic

Hence, (a) is true