Box Plots & Distributions JEOPARDY FST - Chapter 1 Measures of Center Measures of Spread Tables & Graphs Box Plots & Distributions Misc $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

Evaluate . What does the expression in part represent? $100 Evaluate . What does the expression in part represent? Answer

$100 Answer 13 The expression represents the mean of the values.

What is the median average annual pay in the fifty states? $200 The data represent the average annual pay for residents of each of the fifty states in 1994 as reported in the Statistical Abstract of the United States 1996. Each stem indicates $1000. All values have been rounded to the nearest $100. What is the median average annual pay in the fifty states? Answer

$200 Answer $24,450

$300 Kyle’s college computes grade point averages (GPA)by assigning points for grades; A=4.0, B+=3.5, B=3.0, C+=2.5, C=2.0, D=1.0, and F=0. It then weights the grades by the number of semester hours for each course. Compute Kyle’s semester GPA based on the report below. Course Grade Hours Writing B+ 2 Biology C+ 6 French II A 4 Calculus B 5 Answer

$300 Answer

$400 The mean of a set of n numbers is 180, if 54 is added to the set of numbers the new mean is 159. Find n. Answer

$400 Answer n = 5

$500 In a data set in which the mean and median have the same value there is an outlier greater than Q3. Describe the relation of the mean and median after the outlier is removed. Answer

$500 Answer mean ≤ median

State the interquartile range. $100 State the interquartile range. Answer

$100 Answer 15

$200 The salaries for eight employees of Flatco are below. Does the data set contain any outliers? If so, name them. If not, explain why not. Flatco Salaries ($000) 81 61 76 56 71 51 66 46 Answer

Outliers would have to be > 103.5 or < 23.5. There are none. $200 Answer IQR=20 Outliers would have to be > 103.5 or < 23.5. There are none.

$300 The following data set is the number of free throws a school basketball team scored in the first 10 games of the season. Find the standard deviation of the data. 12, 14, 18, 5, 10, 14, 24, 11, 12, 14 Answer

$300 Answer approx. 5.02

$400 Jack and Jill each tossed a standard six-sided die the same number of times. Each time they recorded the number tossed. Whose data have the greater spread: Jack or Jill? Justify your answer. Answer

$400 Answer Jill’s data have the greater spread. Justification: The population variance and standard deviation for Jill’s data are slightly greater than the corresponding measures for Jack’s data. Jack: variance = 2.959, std. dev. = 1.720 Jill: variance = 2.980, std. dev. = 1.726

$500 Are there any outliers for the revenues reported in the Fortune 500 list from 1996? Answer

$500 Answer 147 billion, 168 billion

$100 Find the average rate of change of the world population per year between 1650 and 2000. Answer

$100 Answer about 16,100,000 people per year

How many female high school graduates enrolled in college in 1995? $200 How many female high school graduates enrolled in college in 1995? Answer

About 836,000 female high school graduates $200 Answer About 836,000 female high school graduates

$300 Which would be most suitable for displaying the data: a bar graph, a line graph, or a dotplot? Answer

$300 Answer Bar graph (The data do not involve two numerical variables so not a line graph; and There are too many students which would mean too many dots for a dotplot.)

$400 The bar graph shows the distributions of last year’s revenues by season for a health club. The circle graph shows the corresponding distribution for a country club. In what season(s) did the country club have greater revenues than the health club? Answer

$400 Answer Summer, Fall

$500 Below are the revenues reported in the Fortune 500 list from 1996. What is State Farm’s percentile ranking? Answer

$500 Answer 45th percentile

What percent of the scores were between 23 and 38? $100 What percent of the scores were between 23 and 38? Answer

$100 Answer

$200 The histograms show the distribution of passenger traffic during 1995 a the busiest United States and foreign airports. There are twenty airports in each group. Each interval includes the left endpoint, but not the right. In which interval does the first quartile for foreign airports lie? Answer

$200 Answer

$300 Which numbers in the five-number summary for 1995 exceed their counterparts for 1996? Answer

$300 Answer Min, Q1

$400 Consider the distribution of income for households in area code 60640 for 2000. Complete the relative frequency table. Income by Household Number of Households Relative Frequency $0-20,000 11,654 $20,000-40,000 8,890 $40,000-60,000 5,973 $60,000-75,000 2,977 $75,000-100,000 2,536 Over 100,000 3,144 Answer

$400 Answer Income by Household Number of Households Relative Frequency $0-20,000 11,654 33.1% $20,000-40,000 8,890 25.3% $40,000-60,000 5,973 17.0% $60,000-75,000 2,977 8.5% $75,000-100,000 2,536 7.2% Over 100,000 3,144 8.9%

Rita’s Tuition Expenses $500 Over the past seven years, Rita has been investing in an undergraduate and graduate education. Her tuition expenses are listed. Compute her cumulative expenses for the last seven years. Rita’s Tuition Expenses Cumulative Expenses $4,000 $4,600 $4,750 $4,500 $6,200 $6,800 $6,500 Answer

Rita’s Tuition Expenses $500 Answer Rita’s Tuition Expenses Cumulative Expenses $4,000 $4,600 $8,600 $4,750 $13,350 $4,500 $17,850 $6,200 $24,050 $6,800 $30,850 $6,500 $37,350

$100 A producer’s daily output is 1,250 quarts of ice cream. An inspector selects six of these quarts and measures the butterfat content of a 4-oz scoop of ice cream from each. . Identify the following: population ___________ sample _____________ variable _____________ Answer

$100 Answer population: 1,250 quarts of ice cream sample: six quarts of sample ice cream variable: the butterfat content of a quart of ice cream

$200 The table shows the distribution of 150 hostels affiliated with Hostelling International – American Youth Hostels among the fifty states. What is the percentile ranking of the state with eleven hostels? Answer

$200 Answer 96th percentile

$300 Jack and Jill each tossed a standard six-sided die the same number of times. Each time they recorded the number tossed. What is the difference in the median number that Jack tossed compared to the mean number Jill tossed? Answer

$300 Answer

Give the five-number summary for the data below. $400 Give the five-number summary for the data below. Answer

$400 Answer Min = 61 Q1 = 72 Med = 73 Q3 = 81 Max = 93

$500 True or False. You can determine the median from a boxplot, histogram and stem-and-leaf plot. Answer

$500 Answer