A History Achievement Test out of 80 points is administered to a Grade 10 class of 30 students. Their scores are randomly listed below.

78	46	61	49	58	61	64	58	55	80
40	52	78	55	63	55	49	59	64	58
53	53	59	58	52	70	58	63	55	65

Part 1. (21 points)

Prepare a frequency distribution table of the raw scores* grouped according to frequency (f). Also show the cf and the c% columns. For c% report up to 2 decimal places. Don't round up. (Hint: Show only the scores in the data set.) List the individual scores in descending order along the X column, then show the frequency of each score along the f column. This is where you're grouping each score according to its frequency.) Don't forget to give the table a title that is complete and precise. (10 pts)

Draw a bar graph of this f-distribution table. Arrange the individual scores in ascending order along the X axis. Be sure to label the axes. Don't forget to give the graph a title. (4 pts)

Make a stem and leaf display of the scores. Be sure to label the two columns of the display and arrange the leaves in ascending order. Don't forget to give the display a title. (4 pts)

Based on the f-distribution table above, find the percentile rank of X = 52. To solve this, use the formula in the course Study Guide, not the interpolation given in the textbook. (Hint: To solve this, your i = 1, because you are using single scores.) (3 pts)

Part 2. (21 points)

Prepare an f-distribution table with the scores along the X column grouped according to class intervals, i = 5. Show the f, cf, and c% columns. For c% report up to 2 decimal places. Don't round up. Be sure to give the table a complete and precise title. (10 pts)

Draw a histogram of this f-distribution table. Give the graph a title. (4 pts)

Draw a polygon of this f-distribution table. Give the graph a title. (4 pts)

Find the 25th percentile in this f-distribution table. (Hint: Use the formula in the course Study Guide.) (3 pts)