STATISTICS PRACTICE TEST 2
1. Match the following.
______a. A. Locator Value in a data set
______b.B. range rule of thumb for standard dev
______c. C. Standard dev for a sample
______d. D. Combinations Rule
______e. E. Coefficient of Variation
______f. F. z score
2. To find rough estimates of the minimum and maximum “usual” values, give the formulas you could use;
a. minimum “usual” value ______
b. maximum “usual” value ______
3. One rule in interpreting values for a standard devation is the empirical rule. This rule states that for data sets, the following properties apply:
- About ______% of all values fall within 1 standard deviations of the mean.
- About ______% of all values fall within 2 standard deviations of the mean.
- About ______% of all values fall withing 3 standard deviation of the mean.
4. Which of the following values is not needed to complete a Box Plot.
______Median Mean Minimum
The owner of a small manufacturing plant employs six people. As part of their personnel file, they each gave the distance they travel to work, to the nearest tenth of a mile. The six distances are: 2.6 5.5 1.6 6.8 3.6 4.1
Find the following values.
______5. Range
______6. Standard Deviation – Use both formulas ( Show work below)
Distances
7. The mean height of a basketball team is 6.1 feet with a standard deviation of .2 feet. The team’s center is 6.7 feet tall. Find the centers z score. Is his score unusual?
______7a. z score
______b. Is it unusual?
______8. In a normal distribution, a set of scores has a mean of 22
and a standard deviation of 7. What percent of the scores
fall between 1 and 43?
9. Given that the mean of a group of data is 15 and the standard deviation is 4:
9a. What percent of the population scored above 19?
9b. What percent of the population scored below 11?
9c. What percent of the population scored below 23?
9d. What percent of the population scored between 7 and 19?
9e. 2.5 percent of the population scored below what value?
______10. On which test did the student do relatively better on :
Test One: A grade of 43 on a test with and s = 3.
Test Two: A grade of 75 on a test with and s = 5.
______11. Find the coefficient of variation for each set of scores. Which set has more variation?
Cvar ____Data Set 1: mean 42.5 lbs standard dev 3.7 lbs
Cvar ____Data Set 2: mean 103 lbs standard dev 18.6 lbs
Data set: 168564064728824864 16 48 8 64
______12. Find the percentile rank for data point 72
The test scores of 40 students are listed below.
30354344474854555657
59626365666869697172
72737476777778798081
81828385899293949798
Find the following
______13. ______14. Q1 ______15. Median
______16. Q3 ______17. Percentile Rank for Data Point 85
18. Construct a Box Plot using the given data. Give the five number summary and label them on the boxplot.
828872915395867787
- Five number summary: ______
b.
19. Use your TI – 83 calculator to construct boxplots for Gross ($) in millions for R-rated and PG-13 rated movies.
R – rated PG – 13
Title / Gross (in millions)Aliens / 81.843
Braveheart / 75.6
Chasing Amy / 12.006
Executive Decision / 68.75
Good Will Hunting / 138.339
Halloween / 47
Hard Rain / 19.819
I Know What You Did
Last Summer / 72.219
Pulp Fiction / 8
Saving Private Ryan / 178.091
Schindler’s List / 96.067
Scream / 103.001
Terminator / 36.9
The Game / 48.265
True Lies / 146.261
Title / Gross(in millions
Armageddon / 194.125
As Good As It Gets / 147.54
Dante’s Peak / 67.155
Deep Impact / 140.424
Forrest Gump / 329.691
Ghost / 217.631
Independence Day / 306.124
Indiana Jones / 197.171
Men In Black / 250.147
Multiplicity / 20.1
Speed 2 / 48.068
The American President / 65
The Fifth Element / 63.54
The Man in the Iron Mask / 56.876
Titanic / 600.743
Volcano / 47.474
a)Give the 5 number summary for both:
R-rated: ______
PG-13 rated:______
b)Change your type of graph to a modified box plot and list any outliers for both list( if none exists, write none)
R-rated: ______
PG -13 rated ______
______c) Based on these results, do R-rated or PG-13 movies generally make more money.
______20. What is the probability of an event that is certain to occur?
A. .5B. 1C. .95D. .99
______21. A die with 6 sides is rolled. What is the probability of rolling a number less than 5?
A. 5/6 B. 2/3 C. 4D. 1/6
______22. The table below describes the smoking habits of a group of asthma sufferers.
Nonsmoker / OccasionalSmoker / Regular
Smoker / Heavy
Smoker / Total
Men / 382 / 37 / 60 / 34 / 513
Women / 403 / 31 / 74 / 37 / 545
Total / 785 / 68 / 134 / 71 / 1058
If one of the 1058 people is randomly selected, find the probability that the person is a man or a heavy smoker.
A. .488B. .552C. .479 D. .520
23. ONE card is drawn from a standard card deck. Determine each of the following. You may leave your answers unreduced.
______23a. P(Ace of hearts)
______23b. P(Ace or King)
______23c. P(Ace of spades|the card is black)
24.Two cards are to be drawn from a standard card deck with replacement.
Determine each of the following. You may leave your answers unreduced.
______24a. Probability that the first card is an ace and the second is a king.
______24b. Probability that the first card is an ace and the second card is not and ace.
25. Two cards are to be drawn from a standard card deck without replacement.
Determine each of the following. You may leave your answers unreduced.
______25a. Probability that the first card is an ace and the second is a king.
______25b. Probability that the first card is an ace and the second card is not and ace.
______26. A group of five students will be selected from a class of 20 to participate in a survey. In how many ways can the group be selected?
______27. A men’s clothing store is offering mix and match sport jackets and slacks.
There are 8 different jackets and 12 different slacks. If a man buys one of each how many different outfits could he purchase?
______28. In how many ways can 7 books be arranged on a shelf?
______29. Ten girls try out for a swim team. How many teams of 6 girls can
be chosen?
______30.How many ways can you rearrange the letters of the word “winning”?
______31. If the digits 0-9 are placed in a hat, what is the probability of randomly selecting an odd digit or a digit less than 3?
______32. The odds in favor of winning the door prize are 2:15. What is the probability of winning the prize?
______33. The probability of Becky winning the tennis tournament is . What are the odds against her winning the tournament?
______34. Six college buddies bought each other Christmas gifts. They spent:
$236.88 / $150.51 / $154.55$299.92 / $290.97 / $251.46
What was the mean amount spent? Round your answer to the nearest cent.
______35. Find the mode : 79,25,79,13,25,29,56,79
______36. The weights(in ounces) of 18 cookies are shown. Find the midrange.
.68 / 1.29 / .93 / 1.02 / .74 / 1.431.29 / 1.20 / .68 / 1.46 / 1.33 / 1.14
1.33 / 1.46 / .74 / 1.33 / 1.02 / .93
______37. The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. Find the median number of vehicles going through the line in a 15-minute period.
23 / 25 / 23 / 2626 / 23 / 28 / 25
33 / 29 / 29 / 27
22 / 29 / 23 / 18
13 / 25 / 25 / 25
______38. A company had 80 employees whose salaries are summarized below. Find the mean salary from the frequency distribution table.
Salary ($) / Employees5,001-10,000 / 18
10,001- 15,000 / 20
15,001-20,000 / 20
20,001-25,000 / 14
25,001-30,000 / 8