Exam 2: Presenting Data in Tables and Charts

A histogram can have gaps between the bars, whereas bar charts cannot have gaps.

TABLE 2- 1 An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years, with the following results. 1 14 2 18 3 12 4 5 5 1 -Referring to Table 2-1, how many total claims are represented in the sample?

A side-by-side chart is two histograms plotted side-by-side.

TABLE 2-12 The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 -Referring to Table 2-12, construct a table of total percentages.

Percentage polygons are plotted at the boundaries of the class groupings.

The main principle behind the Pareto diagram is the ability to track the "vital few" from the "trivial many."

TABLE 2-6 A sample of 200 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. Did Well in Midterm Did Poorly in Midterm Studying for Exam 80 20 Went Bar Hopping 30 70 -Referring to Table 2-6, of those who went bar hopping the weekend before the midterm in the sample, ____percent of them did well on the midterm.

$\text { TABLE 2-15 }$ The figure below is the ogive for the amount of fat (in grams) for a sample of 36 pizzas products where the upper boundaries of the intervals are: 5, 10, 15, 20, 25, and 30. -Referring to Table 2-15, roughly what percentage of pizza products contains less than 10 grams of fat?

$\text { TABLE 2-4 }$ A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below. Stem Leaves 3 24 4 03478999 5 0112345 6 12566 7 01 8 9 2 -Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating of 80 or above?

TABLE 2-12 The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 -Referring to Table 2-12, ________percent of the 200 were not neutral.

TABLE 2-16 The figure below is the percentage polygon for the amount of calories for a sample of 36 pizzas products where the upper limits of the intervals are: 310, 340, 370, 400 and 430. -Referring to Table 2-16, roughly what percentage of pizza products contains between 340 and 400 calories?

TABLE 2-14 The table below contains the number of people who own a portable DVD player in a sample of 600 broken down by gender. Own a Portable DVD Player Male Female Yes 96 40 No 224 240 -Referring to Table 2-14,______ percent of the 600 were females who owned a portable DVD.

$\text { TABLE 2-7 }$ The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in superior court. Stem Leaves 1 23444 1 7899 2 222234 2 55678889 3 001113 3 5778 4 0234 4 5579 5 1124 5 66 6 15 6 8 Note: 1L means the "low teens" - 10, 11, 12, 13, or 14; 1H means the "high teens" - 15, 16, 17, 18, or 19; 2L means the "low twenties" - 20, 21, 22, 23, or 24, etc. -Referring to Table 2-7, if a frequency distribution with equal sized classes was made from this data, and the first class was "10 but less than 20," the cumulative percentage of the second class would be _______ .

$\text { TABLE 2-11 }$ The ordered array below resulted from taking a sample of 25 batches of 500 computer chips and determining how many in each batch were defective. $\text {Defects}$ 1 2 4 4 5 5 6 7 9 9 12 12 15 17 20 21 23 23 25 26 27 27 28 29 29 -Referring to Table 2- 11, construct a histogram for the defects data, using "0 but less than 5" as the first class.

TABLE 2- 5 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. Relative Time (in Minutes) Frequency 0 but lessthan 5 0.37 5 but less than 10 0.22 10 but lessthan 15 0.15 15 but less than 20 0.10 20 but lessthan 25 0.07 25 but lessthan 30 0.07 30 or more 0.02 -Referring to Table 2-5, if 100 calls were sampled, ____of them would have lasted 20 minutes or more.

$\text { TABLE 2-14 }$ The table below contains the number of people who own a portable DVD player in a sample of 600 broken down by gender. Own a Portable DVD Player Male Female Yes 96 40 No 224 240 -Referring to Table 2-14,________ percent of the 600 did not owned a portable DVD.

TABLE 2- 5 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. Relative Time (inMinutes) Frequency 0 but lessthan 5 0.37 5 but less than 10 0.22 10 but less than 15 0.15 15 but lessthan 20 0.10 20 but less than 25 0.07 25 but lessthan 30 0.07 30 or more 0.02 -Referring to Table 2-5, if 100 calls were sampled, ______of them would have lasted less than 5 minutes or at least 30 minutes or more.

The point halfway between the boundaries of each class interval in a grouped frequency distribution is called the_______ .

TABLE 2- 3 Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and their friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each student invited to the luncheon and f is the number of students in each category. -Referring to the histogram from Table 2-3, if all the tickets purchased were used, how many guests attended the luncheon?

Ogives are plotted at the midpoints of the class groupings.