Question: The scores on a calculus test for a random sample of 40 students are as follows: 63 74 42 65 51 54 36 56 68

The scores on a calculus test for a random sample of 40 students are as follows:

63 74 42 65 51 54 36 56 68 57

62 64 76 67 79 61 81 77 59 38

84 68 71 94 71 86 69 75 91 55

48 82 83 54 79 62 68 58 41 47

a. Construct a stem-and-leaf display for this data set. Describe the shape of the data.

b. Construct frequency and relative frequency distributions for this data set using seven class intervals. Describe the shape of the data set.

c. Construct a relative frequency histogram for this data set and discuss its shape.

d. Describe the distribution of exam scores.

e. Construct a cumulative frequency and a cumulative relative frequency distribution for this data. What proportion of the exam scores are less than 60? What a proportion of the exam scores are 70 or more?

f. Construct an ogive for this data set. Use the ogive to estimate the proportion of exam scores that are between 80 and 90

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