## Question

# 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

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*, c*f*, 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**)

## Step by Step Solution

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