here are the last 13 ticket totals officer clark has handed out: 123, 65, 48, 210, 158, 67, 117, 89, 79…

here are the last 13 ticket totals officer clark has handed out: 123, 65, 48, 210, 158, 67, 117, 89, 79, 156, 198, 49, 145 what is the third quartile?

here are the last 13 ticket totals officer clark has handed out: 123, 65, 48, 210, 158, 67, 117, 89, 79, 156, 198, 49, 145 what is the third quartile?

Answer

Answer:

158

Explanation:

Step1: Sort the data

48, 49, 65, 67, 79, 89, 117, 123, 145, 156, 158, 198, 210

Step2: Calculate the position of the third - quartile

The formula for the position of the third - quartile ($Q_3$) for a data set of size $n$ is $i=\frac{3(n + 1)}{4}$. Here, $n = 13$, so $i=\frac{3\times(13 + 1)}{4}=\frac{3\times14}{4}=10.5$.

Step3: Find the third - quartile

Since the position $i = 10.5$, $Q_3$ is the average of the 10th and 11th ordered data values. The 10th value is 156 and the 11th value is 158. So $Q_3=\frac{156 + 158}{2}=158$.