Consider the following linear demand function where QD = quantity demanded

(e) Declared major

(f) A number code representing class standing: 1 = freshman, 2 = sophomore, 3 = junior, 4 = senior, 5 = graduate student

(g) Entrance exam rating for competency in English: excellent, satisfactory, unsatisfactory

4. Exam Scores For 108 randomly selected collegestudents, this exam score frequency distribution wasobtained.

Find by using the correct formulas:

Be sure to show all work.

a) Mean

b) Modal class

c) Variance

d) Standard deviation

e) Constructa histogram

f) Discuss the shape of the distribution

5 .Stories in the World’s Tallest Buildings Thenumber of stories in each of the world’s 30 tallestbuildings is listed below.

88 88 110 88 80 69 102 78 70 55

79 85 80 100 60 90 77 55 75 55

54 60 75 64 105 56 71 70 65 72

a) Construct a stem-and-leaf plot

b) Find the 5-number summary

c) Construct a box-and-whiskers-plot

d) Check for outliers

e) Discuss the shape of the distribution

1. Here clearly the data is not symmetrical as the very large dosage is expected to have a really high amount of drug dosage thus the data is somewhat positively skewed. And we know that for skewed data the median is the best measure to describe the location. So here the median would be best measure of position.

2. Top quartile means top 25% of the data. Here the total number of mice are 40 so top quartile consists of (40*25%) = 10 mice. Now 40% of them survived so (10*40%) = 4 mice survived.

3. The percentile would give us what percent of the mice are in that category. So in this example it will pin point the information we are looking for.

4. The quartile is somewhat similar to percentile. The percentile divides the whole group into 100 equal parts and the quartiles into 4 equal parts. So quartiles would give the 25 percentiles information.

5. The standard score will give us the relative measures. It will give enough information to compare to different scores by standardizing them.