STATS 7 Lecture Notes - Lecture 6: Standard Deviation, Sampling Distribution

A reading comprehension test out of 90 points is given to a Grade 5 class of 30 students. Their scores are randomly listed below. 77 43 60 28 59 60 63 59 45 79 38 51 79 54 62 71 51 43 63 59 54 54 60 56 51 71 34 62 28 62 Part 1. (21 points) a. 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.) (10 pts) b. Draw a bar graph of this f-distribution table. Be sure to label the axes. (4 pts) c. 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. (4 pts) d. Find the percentile rank of X = 50. Use the f-distribution table with scores grouped according to class intervals, i = 5, in Part 2a below. (Hint: use the formula in the course Study Guide.) (3 pts) Part 2. (21 points) a. Prepare a f-distribution table with the scores 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. (10 pts) b. Draw a histogram of this f-distribution table. (4 pts) c. Draw a polygon of this f-distribution table. (4 pts) d. Find the 20th percentile in this f-distribution table. (Hint: use the formula in the Course Study Guide.) (3 pts)

A reading comprehension test out of 90 points is given to a Grade 5 class of 30 students. Their scores are randomly listed below. 77 43 60 28 59 60 63 59 45 79 38 51 79 54 62 71 51 43 63 59 54 54 60 56 51 71 34 62 28 62 Part 1. (21 points) a. 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.) (10 pts) b. Draw a bar graph of this f-distribution table. Be sure to label the axes. (4 pts) c. 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. (4 pts) d. Find the percentile rank of X = 50. Use the f-distribution table with scores grouped according to class intervals, i = 5, in Part 2a below. (Hint: use the formula in the course Study Guide.) (3 pts) Part 2. (21 points) a. Prepare a f-distribution table with the scores 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. (10 pts) b. Draw a histogram of this f-distribution table. (4 pts) c. Draw a polygon of this f-distribution table. (4 pts) d. Find the 20th percentile in this f-distribution table. (Hint: use the formula in the Course Study Guide.) (3 pts)

12. Let y = f(x) be defined by the equation y + 12x2 + xe4y = 13 near x = 1, y = 0. The value of f'(1) is (a) –9, (b) –7, (c) -5, (d) -10, (e) -13.