consider the data [ 20,30,40,50 ( iso ) 160,50,70,70,80 ] find bar(x) m d mo draw graph

To analyze the given data set \(20, 30, 40, 50, 50, 60, 50, 70, 70, 80\), we will calculate the mean (\(\bar{x}\)), median (\(md\)), and mode (\(mo\)). We will also draw a graph.<br /><br />1. **Mean (\(\bar{x}\))**:<br /> \[<br /> \bar{x} = \frac{\sum x_i}{n} = \frac{20 + 30 + 40 + 50 + 50 + 60 + 50 + 70 + 70 + 80}{10} = \frac{520}{10} = 52<br /> \]<br /><br />2. **Median (\(md\))**:<br /> To find the median, first arrange the data in ascending order: <br /> \[<br /> 20, 30, 40, 50, 50, 50, 60, 70, 70, 80<br /> \]<br /> Since there are 10 numbers (an even number), the median is the average of the 5th and 6th values:<br /> \[<br /> md = \frac{50 + 50}{2} = 50<br /> \]<br /><br />3. **Mode (\(mo\))**:<br /> The mode is the number that appears most frequently. In this data set, 50 appears three times, which is more than any other number.<br /> \[<br /> mo = 50<br /> \]<br /><br />4. **Graph**:<br /> A simple way to visualize this data is with a histogram or a bar chart. Here's how you can represent it:<br /><br /> - On the x-axis, list the unique data points: 20, 30, 40, 50, 60, 70, 80.<br /> - On the y-axis, indicate the frequency of each data point.<br /> - Draw bars for each data point with heights corresponding to their frequencies:<br /> - 20: 1<br /> - 30: 1<br /> - 40: 1<br /> - 50: 3<br /> - 60: 1<br /> - 70: 2<br /> - 80: 1<br /><br />This graph will help visualize the distribution of the data set.