Questions: Provide an appropriate response. Given the following five-number summary, find Q2. 2.9,5.7,10.0,13.2,21.1. (A) 10.0 (B) 12 (C) 5.7 (D) 13.2

Transcript text: Provide an appropriate response. Given the following five-number summary, find $Q_{2}$. $2.9,5.7,10.0,13.2,21.1$. (A) 10.0 (B) 12 (C) 5.7 (D) 13.2

Solution

Solution Steps

To find $ Q_2 $, which is the median of the dataset, we need to identify the middle value in the five-number summary. The five-number summary is already sorted, and the median is the third value in this list.

Step 1: Identify the Five-Number Summary

The five-number summary provided is $2.9, 5.7, 10.0, 13.2, 21.1$. This summary consists of the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum values of a dataset.

Step 2: Determine the Median

The median, $Q_2$, is the middle value in a sorted list of numbers. In a five-number summary, the median is the third value. Therefore, $Q_2 = 10.0$.