2 different questions. For this discussion activity you will use an applet. It deals with the mean and median of a data set. Below are the numerical distributions data types and values you will be exploring for this discussion. Mean = The mean of a collection of data is the arithmetic average or a balancing point of a distribution of data. Median = The median of a sample of data is the value that is in the middle from the smallest to the largest. The median cuts a distribution in half. In this mean vs. median applet activity, you will use the link below. The applet allows you to create data sets and look at the impact on the mean and median of adding additional data points to the data set. Click or tap on Mean vs. Median (the link is attached as a file) and follow these instructions: First, reset the lower limit on the x-axis to zero and the upper limit to 1000, bya. Clicking on the “Add point” button and enter a value of 0 in the input box, then click “OK”.b. Repeat the above step to add the value 1000. Remove the data points for 0 and 1000 by clicking the “Reset” button. Notice the lower and upper limits on the x-axis stay at 0 and 1000. Just the two data points are removed. Now put 6 points between 0 and 200 on the line. (You do that by clicking on the line at the place where you want to add the point.) Or, you can click the “Add point” button for each point you want to enter. Assume that these data points represent the selling prices of houses in thousands of dollars in a particular neighborhood. – Record the mean and the median for those six data points. – Next, add one more point close to 1000. That would represent the selling price of a house that sold for close to 1,000,000 dollars. – Record the new mean and median for the seven points that you now have. Discussion Activity: Complete the following and post your results in the discussion: 1.List the mean and median for the first six data points you entered. 2.List the mean and median after you added the seventh data point. 3.What impact does the outlier (the house with selling price close to 1,000,000 dollars) have on the mean and on the median? 4.Suppose the data points represent the selling prices of houses. After adding the seventh data point, would the mean or the median be the better measure of central tendency to use to report the “typical” selling price of a house in this neighborhood? Explain your answer. For this discussion activity you will use an applet that deals with standard deviation. Below are the numerical distributions data types and values you will be exploring for this discussion. Standard Deviation = The standard deviation is a number that measures how far a typical observation is from the mean. This applet demonstrates standard deviation and allows you to create data sets as you add additional points. Click or tap Standard Deviation (Links is attached as a file.) and follow these instructions: First, reset the lower limit to zero and the upper limit to 20.a. Clicking on the “Add point” button and enter a value of 0 in the input box, then click “OK”.b. Repeat the above step to enter the value 20. Remove the data points for 0 and 20 by clicking the “Reset” button. Notice the lower and upper limits on the x-axis stay at 0 and 20. Just the two data points are removed. Follow this sequence to create three data sets with eight data points in each set. – Create the first data set by inserting eight data points approximately evenly spaced between 0 and 20 along the line. – Record the standard deviation of this data set. – Now delete the first data set by clicking on the trashcan. – Create the second data set by inserting eight data points all very close to 10 on the number line. – Record the standard deviation of this data set, and then delete that data set. – Last, create the third data set by inserting 4 points very close to zero and another 4 data points very close to 20. – Record the standard deviation of this data set. Discussion Activity: Answer the following questions: Which data set has the lowest standard deviation? Which has the highest? Is this what you expected? Why or why not? Be sure that you completed the applet on Mean vs Median before you complete this discussion activity.