2. the number of electoral votes won by the republican candidate in presidential elections from 1960 - 2016…

Explanation:

Step1: Arrange data in ascending order

$52, 159, 168, 173, 206, 206, 219, 240, 271, 286, 301, 306, 426, 489, 520, 525$

Step2: Find the minimum

The minimum is the smallest value. So the minimum is $52$.

Step3: Calculate the position of the lower - quartile

There are $n = 16$ data points. The position of the lower - quartile $Q_1$ is $\frac{n + 1}{4}=\frac{16+ 1}{4}=4.25$. Interpolating between the 4th and 5th ordered values: $173+(0.25)\times(206 - 173)=173 + 8.25=181.25$.

Step4: Calculate the position of the median

The position of the median for $n = 16$ (an even - numbered data set) is $\frac{n}{2}=8$ and $\frac{n}{2}+1 = 9$. The median is the average of the 8th and 9th ordered values, $\frac{240+271}{2}=255.5$.

Step5: Calculate the position of the upper - quartile

The position of the upper - quartile $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(16 + 1)}{4}=12.75$. Interpolating between the 12th and 13th ordered values: $306+(0.75)\times(426 - 306)=306+90 = 396$.

Step6: Find the maximum

The maximum is the largest value. So the maximum is $525$.

Answer:

Minimum: $52$ Lower Quartile: $181.25$ Median: $255.5$ Upper Quartile: $396$ Maximum: $525$