Question

the number of electoral votes each state is assigned is determined by the size of its population every ten years.
the chart shows the number of electoral votes california was assigned each decade from the 1900s to the 2000s.
what is the 3rd quartile of the data?

Explanation:

Step1: Combine and sort data

Combine all data: \(9,13,13,22,25,32,40,45,47,54,55\).
Sort in ascending order: \(9,13,13,22,25,32,40,45,47,54,55\).

Step2: Calculate the position of the 3rd - quartile

The formula for the position of the \(n\)th quartile \(Q_n\) is \(i=\frac{n}{4}(N + 1)\), where \(N\) is the number of data points. For the 3rd quartile (\(n = 3\)) and \(N=11\), \(i=\frac{3}{4}(11 + 1)=\frac{3\times12}{4}=9\).

Step3: Find the 3rd - quartile

Since \(i = 9\) is an integer, the 3rd quartile \(Q_3\) is the 9th data point.

Answer:

\(47\) votes