1. The following frequency distribution represents 50 exam scores. Complete the frequency table below. (2 marks) Exam...
Question:
1. The following frequency distribution represents 50 exam scores. Complete the frequency table below. (2 marks)
Exam Scores | Tally | Frequency | Relative Frequency |
(25-40] | I | ||
(40-55] | IIIIIII | ||
(55-70] | III | ||
(70-85] | IIIIIIIIIIIIIIII | ||
(85-100] | IIIIIIIIIII | ||
(100-115] | IIIII | ||
(115-130] | IIIIIII | ||
Construct a histogram or a bar graph based on the table above. State what distribution you see and comment on the amount of intervals. (6 marks)
2.: The final Data Management marks for two classes are listed below:
Class A | 71 | 82 | 55 | 76 | 66 | 71 | 90 | 84 | 95 | 64 | 71 | 70 | 73 | 45 | 73 | 51 | 68 | 99 |
Class B | 54 | 80 | 12 | 61 | 73 | 69 | 92 | 81 | 80 | 61 | 75 | 74 | 15 | 44 | 91 | 63 | 50 | 84 |
- Determine the three measures of central tendency for each class. (6 Marks)
- Use the measures to compare the performance of the two classes. (2 marks)
- Comment on the affect of outliers. (1 Mark)
- Determine and compare the range of the two classes. Comment/compare the classes IQR's (4 marks)
- Select 1 class and determine the standard deviation of the class. (4 marks)
3. In a certain course, a student's overall mark is computed using the following weights: Term 70%, culminating task 15%, and overall exam 15%. Currently, Alex has a mark of 78% in the term and he achieved 85% on the culminating task. What mark must Alex achieve on the overall exam to finish with a mark of 82% in the course? Round your overall answer to one decimal place. (3 marks)