Vero Beach January Invitational: Statistics Individual
For all questions: NOTA = None of the Above.
1. Select the answer which bests fits the data set: 12, 20, 8, 10, 34, 48, 50, 8, 48, 12, 8
Vero Beach January Invitational: Statistics Individual
a. mean < mode < median
b. mode< mean < median
c. mean < median < mode
d. mean < mode > median
e. NOTA
Vero Beach January Invitational: Statistics Individual
2. Which set has the smallest standard deviation?
Vero Beach January Invitational: Statistics Individual
a. 4, 4, 4, 4
b. 1, 2, 3, 4
c. 2, 4, 6, 8
d. -1, -2, -3, -4
e. NOTA
Vero Beach January Invitational: Statistics Individual
3. Given the following equation for a discrete distribution’s Least-Squares Regression Line to be: , and the data point (5, 24); find the residual when x = 5.
Vero Beach January Invitational: Statistics Individual
a. -3.6
b. -0.75
c. 3.6
d. 0.75
e. NOTA
Vero Beach January Invitational: Statistics Individual
4. where P(n,r) is the permutation of “n” things taken “r” at a time would be an appropriate answer to which of the following questions?
Vero Beach January Invitational: Statistics Individual
a. How many ways can a veterinarian see 5 kittens in 8 days?
b. How many ways can a student read three books from a shelf of 8 books?
c. How many trios can a band with 8 members make?
d. How many 3-letter words can be made from 8 letters?
e. NOTA
Vero Beach January Invitational: Statistics Individual
5. If boys and girls are equally likely to be born, what is the probability that eight births will include more boys than girls? Round to the nearest tenth.
Vero Beach January Invitational: Statistics Individual
a. 0.3
b. 0.4
c. 0.5
d. 0.6
e. NOTA
Vero Beach January Invitational: Statistics Individual
6. Katie wants to take a sample of customers at Publix. If Katie selects every third customer for her sample, what type of sampling is Katie using?
Vero Beach January Invitational: Statistics Individual
a. Systematic
b. Simple random
c. Counting Method
d. Stratified
e. NOTA
Vero Beach January Invitational: Statistics Individual
7. Two identical boxes contain lollipops. The first box contains 8 lemon and 3 grape lollipops. The second box contains 12 grape lollipops. If a lollipop is chosen at random (from a randomly selected box), find P(grape).
Vero Beach January Invitational: Statistics Individual
a.
b.
c.
d. 1
e. NOTA
Vero Beach January Invitational: Statistics Individual
8. If P(A)=0.5 , P(B)=0.25 and P(A or B) = 0.75; then events A and B must be:
Vero Beach January Invitational: Statistics Individual
a. Coincidental
b. Dependent
c. Independent
d. Mutually Exclusive
e. NOTA
Vero Beach January Invitational: Statistics Individual
9. The weather on a tropical island in January is fairly constant. Records indicate that the high temperature for each day of the month tend to have a uniform distribution over the interval from 75˚F to 90˚F. A tourist arrives on the island on a randomly selected day in January. What is the probability that the temperature will be between 80˚F and 82˚F? Round to the nearest tenth of a percent.
Vero Beach January Invitational: Statistics Individual
a. 6.7%
b. 10%
c. 13.3%
d. 20%
e. NOTA
Vero Beach January Invitational: Statistics Individual
10. Which variable has the least value?
a. Mean of a Standard Normal Distribution
b. Coefficient of Determination as a decimal when correlation equals 0.5
c. Standard Deviation of a Standard Normal Distribution
d. Z-score for Quartile 1 of a Standard Normal Distribution
e. NOTA
Vero Beach January Invitational: Statistics Individual
11. Find any outliers from the following data set: 10, 24, 36, 50, 54, 80
Vero Beach January Invitational: Statistics Individual
a. 10 only
b. 10 and 80
c. 54 and 80
d. 80 only
e. NOTA
Vero Beach January Invitational: Statistics Individual
12. Which value is always found on a Least Squares Regression Line?
Vero Beach January Invitational: Statistics Individual
a.
b.
c. (0,0)
d.
e. NOTA
Vero Beach January Invitational: Statistics Individual
13. For a standard normal distribution, what is the probability of a data value being
less than -2 or more than 3? Round to the nearest tenth of a percent.
Vero Beach January Invitational: Statistics Individual
a. 1.8%
b. 2.4%
c. 2.6%
d. 5.1%
e. NOTA
Vero Beach January Invitational: Statistics Individual
14. Which of the following is a non-resistant measure?
Vero Beach January Invitational: Statistics Individual
a. Mode
b. Median
c. Lurking Variable
d. Correlation
e. NOTA
Vero Beach January Invitational: Statistics Individual
15. Given that a distribution’s Least-Square Regression Line has a correlation of -0.85, which is not safe to claim about the distribution?
Vero Beach January Invitational: Statistics Individual
a. Negative Association between Explanatory and Response Variables
b. Linear Relationship between Explanatory and Response Variables
c. X-Values used in calculation must be the Explanatory Variables
d. Relationship could be considered “strong” between Explanatory and Response Variables
e. NOTA
Vero Beach January Invitational: Statistics Individual
16. Vero Beach is a relatively safe community. Find the percent of violent crimes, given that the crime happened in the 1990’s.
Violent Crime / Property Crime / Drug Crime / Public Disorder4 / 6 / 7 / 10 / Year-1994
3 / 1 / 2 / 7 / Year-1998
1 / 4 / 0 / 6 / Year-2002
Vero Beach January Invitational: Statistics Individual
a. 17.5%
b. 14.8%
c. 4.8%
d. 2.0%
e. NOTA
Vero Beach January Invitational: Statistics Individual
17. What is the marginal distribution count for 1998 for the table from Problem #16?
Vero Beach January Invitational: Statistics Individual
a. 7
b. 12
c. 13
d. 23
e. NOTA
Vero Beach January Invitational: Statistics Individual
18. A sample has values: 2, 3, 4, x , 7, y, 15. If x is the median and y is the mean, what is the maximum value of x+y?
Vero Beach January Invitational: Statistics Individual
a.
b.
c.
d.
e. NOTA
Vero Beach January Invitational: Statistics Individual
19. Which answer is not something to consider when describing a scatter plot?
Vero Beach January Invitational: Statistics Individual
a. Randomization
b. Direction
c. Form
d. Outliers
e. NOTA
Vero Beach January Invitational: Statistics Individual
Vero Beach January Invitational: Statistics Individual
20. At Vero Beach High School, 104 students take Calculus, 60 students take Physics, and 49 students take Statistics. 10 students take Calculus and Statistics, 12 take Physics and Calculus, and 20 take Physics and Statistics. 5 students take all three classes, and every student takes at least one of these classes. Find the number of students who are in Statistics, but not in Calculus or Physics.
Vero Beach January Invitational: Statistics Individual
a. 10
b. 13
c. 14
d. 24
e. NOTA
Vero Beach January Invitational: Statistics Individual
21. Using the information from Problem 21, find the probability of a student taking Physics and Statistics, given that they take Physics.
Vero Beach January Invitational: Statistics Individual
a.
b.
c.
d.
e. NOTA
Vero Beach January Invitational: Statistics Individual
22. 4% of Coach handbags are determined by the factory to be irregular. From a sample of 2000 handbags, what is the probability that 60 handbags are irregular? Round to the nearest tenth of a percent.
Vero Beach January Invitational: Statistics Individual
a. 0.01%
b. 0.2%
c. 0.3%
d. 0.8%
e. NOTA
Vero Beach January Invitational: Statistics Individual
23. Brandi is the best shopper that she knows. She finds great deals no matter what store she shops in. Her friends, Ayleen and Tabitha, both claim that they can shop just as well as she can. If Brandi’s probability of finding the best deal is ¾ , Ayleen’s probability of success is ½, and Tabitha’s probability of finding the best deal is ¼. What is the probability that Brandi and Ayleen find the best deal, but Tabitha misses out, given that the shoppers are independent of each other?
Vero Beach January Invitational: Statistics Individual
a.
b.
c.
d.
e. NOTA
Vero Beach January Invitational: Statistics Individual
24. Statisticians love to “lie” with numbers. (as seen in the cartoon) Which of the following statisticians is “lying”?
a. Brian says, “Median is a resistant measure”.
b. Caleb says, “Gender is a qualitative variable”.
c. Alexa says, “Normal distributions are bimodal”.
d. Carol says, “Z-scores represent standard deviations”.
e. NOTA
25. Find the mean of the following distribution.
Round to the nearest hundredths place.
Value / 5 / 8 / 9 / 12 / 14 / 20Frequency / 2 / 6 / 5 / 3 / 2 / 4
Vero Beach January Invitational: Statistics Individual
a. 9.00
b. 11.01
c. 11.23
d. 7.50
e. NOTA
Vero Beach January Invitational: Statistics Individual
26. Which is not a reason to study Statistics?
Vero Beach January Invitational: Statistics Individual
a. To become an informed consumer to be able to decide if numerical claims are reasonable.
b. To understand statistics and make decisions based on the information.
c. To avoid becoming a statistic through the placebo effect.
d. To evaluate decisions that affect your life and well-being.
e. NOTA
Vero Beach January Invitational: Statistics Individual
27. Which of the following pairs of variables could you calculate the correlation between?
Vero Beach January Invitational: Statistics Individual
a. Gender and Political party
b. Gender and Average Lifespan
c. Average Lifespan and Nationality
d. Nationality and Number of Siblings
e. NOTA
Vero Beach January Invitational: Statistics Individual
Vero Beach January Invitational: Statistics Individual
28. Which of the following pairs of events are not disjoint?
Vero Beach January Invitational: Statistics Individual
a. A = B =
b. A =
B =
c. A = B =
d. A = B =
e. NOTA
Vero Beach January Invitational: Statistics Individual
29. Explanatory variables are most often called:
Vero Beach January Invitational: Statistics Individual
a. Dependent Variables
b. Independent Variables
c. Qualitative Variables
d. Result Variables
e. NOTA
Vero Beach January Invitational: Statistics Individual
30. A study found correlation r = $0.61 between the gender of a worker and his or her income. You conclude that:
Vero Beach January Invitational: Statistics Individual
a. Men earn more than Women (on average)
b. Women earn more than Men (for a normally distributed population)
c. The slope of the regression line is dollars per year
d. This statistician has made an error
e. NOTA
Vero Beach January Invitational: Statistics Individual