Current Attempt in Progress The following set of data is given. 18,50, \( 6,28,71,31,83 \) (a) Find the mean \( \bar{x} \). Round your answer to one decimal place. \( \bar{x}= \) i (b) Find the median \( m \). \( m= \) i eTextbook and Media

Let's work through each part of the problem step by step. ### Given Data: \[ 18, \; 50, \; 6, \; 28, \; 71, \; 31, \; 83 \] There are **7 data points** in total. --- ### (a) Finding the Mean \( \bar{x} \): The **mean** (average) is calculated by summing all the data points and then dividing by the number of data points. 1. **Sum of the data points:** \[ 18 + 50 + 6 + 28 + 71 + 31 + 83 = 287 \] 2. **Number of data points:** \[ n = 7 \] 3. **Calculate the mean:** \[ \bar{x} = \frac{\text{Sum of data points}}{n} = \frac{287}{7} = 41.0 \] **Answer:** \[ \bar{x} = 41.0 \] --- ### (b) Finding the Median \( m \): The **median** is the middle value when the data points are arranged in order. If there's an odd number of data points, the median is the center number. 1. **Arrange the data in ascending order:** \[ 6, \; 18, \; 28, \; 31, \; 50, \; 71, \; 83 \] 2. **Identify the middle position:** - For 7 data points, the middle position is the 4th value. 3. **Find the median:** \[ m = 31 \] **Answer:** \[ m = 31 \] --- ### Summary: - **Mean (\( \bar{x} \))**: 41.0 - **Median (\( m \))**: 31