Note: The text says use 15 but I want you to use 11 intervals (exactly 11 intervals, not 10, not 12Jit makes for a nicer answer). Use the table you create (with 11 intervals) to answer questions

5b),

5c),

5d),

5e),

5f)

5. The following scores were obtained by a college sophomore class on an English exam:

6 0 94 75 82 72 57 92 75 85 77 91 72 85 64 78 75 62 49 70 94 72 84 55 90 88 81 64 91 79 66 68 67 74 45 76 73 6 8 85 73 8 3 85 71 87 57 8 2 78 68 70 71 78 69 98 65 61 83 8 4 69 77 81 87 79 64 72 55 76 68 9 3 56 67 71 83 72 82 78 62 82 49 6 3 73 89 78 81 93 72 76 73 90 76

a. Construct a frequency distribution of the ungrouped scores (i 1).

c. Construct a histogram of the frequency distribution constructed in part b.

d. Is the distribution skewed or symmetrical? If it is skewed, is it skewed positively or negatively?

e. Construct a stem a nd leaf diagram with t he last digit being a leaf and the first digit a stem. Repeat stem values twice.

f. Which diagram do you like better, the histogram of part c or t he stem and leaf diagram of part e? Explain.

Question 6, use your answer for Ques 5 (with 11 intervals) but only draw the cum% distribution,

Use the cumulative percent distribution you just drew to estimate P75, P40, PR 83, PR 67

Do NOT calculate these values yet. Estimate the values first using the cumulative percent curve you drew. please show how the answer was found

ONLY AFTER you have made your estimates using your graph, use the table you created in question 5 to actually calculate P75, P40, PR 83, PR 67. How close were your estimates?

6. Express the grouped frequency distribution of pa rt b of Problem 5 a s a relative frequency, a cumulative frequency, a nd a cumulative percentage distribution.