Instructions Click Clear and select Find median. Drag points to 3, 4, and 5 to the graph. The median is the data set is its middle value. In the Gizmo, this is modeled by placing the frogs on a balance. Check and make sure the data set is {3, 4, 5}. Notice that all of the frogs are on the right pan of the balance. 1. Click on the right arrow button. The frog with the value 3 moves to he stump in the middle of the scale. The stump represents the median. The scale is not balanced, because 3 is not the median. 2. Click the right arrow again. The frog with the value 3 jumps to the left pan and no frogs are on the stump. The value between 3 and 4, 3.5, is on the stump. Since 3.5 is not in the data set, a frog is not available to sit on the stump. The scale is still not balanced, so we know that 3.5 is not the median. 3. Click the right arrow again. The frog with the value 4 jumps on the stump. The scale is now balanced. The median is 4. On the graph, drag the point on 5 to 10. Does this change the median? No . Changing the value of the largest number does not change the the value of the middle number, so the median did not change. 5. Now place a fourth point on the data set at 6. The data set should now be {3, 4, 6, 10}. Click the arrows to find the median. 6. The median is 7. How can you calculate the median without using the scale? Add the two middle numbers, and x, then divide by Mrs. Flynn asked some students in her class how many cousins they had. The results were: 8, 5, 8, 2, 4, 9, 8, 5. 1. What is the median? (Reminder: Be sure to put the values in numerical order first.) The median is 2. Enter the data values into the Gizmo and check your answer. Is the median of this data set a parameter or statistic? (Hint: Mrs. Flynn asked only some of the students in her class.) statistic adding all of the values in the data set, then dividing by the number of items. This is shown by the formula: mean = 1+2+. n The sub- number indicates the different data values. In our example, 1 would represent 3 and an (the last data entry in the set) would represent 9. n for our example would be 2, since there are two data entries. 3. Use the balance point slider to balance the frogs. How does the balance point relate to the mean? The balancing point and the mean are both x . 4. Turn off Calculate mean. Move the point at 3 to 1. What is the mean now? Add together and x and divide by . x to get mean = 5. Check your answer by finding the new balancing point on the Gizmo. Mrs Flynn asked each student in her class, "How many children are in your family?". The results are shown to below. 100 0000 1 2 3 4 5 6 7 8 9 10 1. Based on the graph, what is the data set? { } (Use commas to separate the data entries. Do not use any spaces. Enter values from least to greatest.) 2. What is the population size? 3. What is the mean?u= 4. Enter the data set in the Gizmo. Then use the balancing point to check the mean. 5. Is this mean a parameter or statistic? Parameter because all of the students Instructions Click Clear and select Find median. Drag points to 3, 4, and 5 to the graph. The median is the data set is its middle value. In the Gizmo, this is modeled by placing the frogs on a balance. Check and make sure the data set is {3, 4, 5}. Notice that all of the frogs are on the right pan of the balance. 1. Click on the right arrow button. The frog with the value 3 moves to he stump in the middle of the scale. The stump represents the median. The scale is not balanced, because 3 is not the median. 2. Click the right arrow again. The frog with the value 3 jumps to the left pan and no frogs are on the stump. The value between 3 and 4, 3.5, is on the stump. Since 3.5 is not in the data set, a frog is not available to sit on the stump. The scale is still not balanced, so we know that 3.5 is not the median. 3. Click the right arrow again. The