MUST BE GOOD AT MATH AND MUST SHOW WORK
HOME WORK 1
The data below indicates the starting admission price ($) for one-day tickets to 10 theme
parks in the United States: [20 Points]
58 63 41 42 29 50 62 43 40 40
Compute the mean, median and mode.
Compute the range, variance, and standard deviation, and coefficient of variation
Compute the first quartile (Q1), the third quartile (Q3), the interquartile range.
List the five-number summary.
Construct a boxplot and describe its shape.
2. The following are the durations in minutes of a sample of long-distance phone calls made
within the continental United States reported by one long-distance carrier. [10 points]
Relative
Time (in Minutes) Frequency
15 but less than 25 0.08
25 but less than 35 0.24
35 but less than 45 0.09
45 but less than 55 0.35
55 but less than 65 0.15
65 but less than 75 0.08
75 but less than 85 0.01
If 100 calls were randomly sampled, how many calls lasted between 10 and 45
minutes?
(b) If 1000 calls were randomly sampled, how many calls lasted 65 minutes or longer?
(c) Form the cumulative percentage distribution.
(d) Form the Ogive (cumulative percentage polygon).
(e) From the graph in (d), what percentage of calls lasted more than 86 minutes?
3. A sample of 500 students at a Big-Ten university was taken after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following table contains the result. [10 points]
| Did Well in Midterm | Did Poorly in Midterm | |
| Studying for Exam | 180 | 120 |
| Went Bar Hopping | 130 | 70 |
Referring to Table, of those who went bar hopping the weekend before the midterm in the sample, what percent of them did well on the midterm.
Referring to Table, of those who did well on the midterm in the sample, what percent of them went bar hopping the weekend before the midterm.
What percentage of students did poorly and went bar hopping?
What percentage of students did well in the Midterm?
Of those students studying for exam, what percentage did poorly in Midterm?
MUST SHOW WORK
