STATISTICS AND PROBABILITY ACTIVITY Given the following score distribution of students in a mathematics quiz. Task 1:
Sketch the graph of the frequency polygon of each distribution. Use the Chart Wizard of the MS Excel program to sketch the graphs if a computer is available. Answer the questions that follow.
1. Graph the frequency polygon of the following scores of students in a quiz. Here, there are 5 students who took quiz. X (score) F 3 1 2 3 1 1 N
2. Now let us increase the number of students to 14. Observe what will happen to the shape of the graph. X (score) F 5 1 4 3 3 5 2 3 1 1 N2 14
3. Let us further increase the number of students. From the first graph to the third graph, observe the transformation of the figures. X (score) F 9 1 8 2 7 4 6 7 5 11 4 7 3 4 2 2 1 1 N2 42 4. If we continue to increase the number of students, what will be the shape of the graph? Take note also of its skewness.
5. For each distribution, compute the three measures of central tendency. What do you notice?
6. Where did you find these measures on the graph?
7. What generalization can you make?