Questions: Find the third quartile for the given quantitative data. 39 34 7 2 49 95 68 60 11 77 22 65 80 97 30

Transcript text: Find the third quartile for the given quantitative data. \begin{tabular}{|r|r|} \hline 39 & 34 \\ \hline 7 & 2 \\ \hline 49 & 95 \\ \hline 68 & 60 \\ \hline 11 & 77 \\ \hline 22 & 65 \\ \hline 80 & 97 \\ \hline 30 & \\ \hline \end{tabular} $\square$

Solution

Solution Steps

Step 1: Organize the Data

The data set in ascending order is: [2, 7, 11, 22, 30, 34, 39, 49, 60, 65, 68, 77, 80, 95, 97].

Step 2: Determine the Position of Q3

Since the number of data points, N = 15, is odd, include the median of the entire data set when determining the upper half. The position of Q3, calculated using the formula (3(N + 1))/4, is approximately at position 12.

Step 3: Calculate Q3

Since the position of Q3 is a whole number, Q3 is the value at this position in the ordered data set.