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Prob & Stats Semester Exam

Total questions: 80

Worksheet time: 13hrs 20mins

Name
Class
Date
1.

Joe scores 70% on a 50-point test and 90% on a 100-point test. What is the weighted mean?

a)

80%

b)

83%

c)

85%

d)

87%

2.

Mr. A records the # of students in class daily. What type of graph should he use to show how attendance varies during the year?

a)

Pie graph

b)

Pictograph

c)

Time series graph

d)

Pareto chart

3.

A coin has 2 sides. If we say the chance of getting a head is ½, that’s an example of what type of probability?

a)

empirical

b)

subjective

c)

classical

d)

all of these

4.

What is the midpoint of the class 9.5 – 14.5?

a)

12

b)

12.5

c)

12.25

d)

13

5.

A commercial states a car is 15% more fuel efficient. This is an example of what?

a)

Changing the subject

b)

detached statistics

c)

ambiguous averages

d)

Suspect samples

6.

What do we call a characteristic of a subject that can assume different values?

a)

datum

b)

sample

c)

variable

d)

exponent

7.

If the mean of a data set is 10 and its variance is 4, what is its coefficient of variation?

a)

0.2

b)

0.4

c)

2.5

d)

5

8.

What is the classical probability that a coin, tossed 4 times, will come up “heads” on all 4 tosses?

a)

1/2

b)

1/4

c)

1/8

d)

1/16

9.

A continuous variable can have …

a)

no values

b)

a finite whole number of values

c)

infinitely many values

d)

two values

10.

Mathematical probabilities can have values of …

a)

between -1 and +1

b)

between 0 and 1 inclusive

c)

any positive real number

d)

any integer

11.

In a frequency distribution …

a)

The frequency for each class is greater than zero

b)

There is only one possible frequency

c)

Each frequency must be a whole number

d)

None of these

12.

In a normal distribution, an element in the 35th percentile lies within the ­­­­____ quartile.

a)

1st

b)

2nd

c)

3rd

d)

middle

13.

A # between 1 and 50 is chosen. What is the probability that at least one of the digits is 4?

a)

1/10

b)

13/50

c)

7/25

d)

2/7

14.

What is the probability that an unweighted die, rolled 3 times, will show the face with 5 dots on all 3 rolls?

a)

1/6

b)

3/5

c)

1/216

d)

1/125

15.

What is the probability of choosing a random number between 1 and 50 that is a multiple of 9?

a)

1/9

b)

1/10

c)

9/50

d)

50/9

16.

You draw a card, put it back, and draw a new card. What is the probability of drawing two diamonds?

a)

1/4

b)

1/8

c)

1/16

d)

1/169

17.

A graph that shows proportions that look like pizza slices is called a …

a)

histogram

b)

bar graph

c)

nomograph

d)

pie graph

18.

If temperature readings include a high of 18.2oC and a low of 11.6oC, what is a reasonable range for the temperature scale on a graph of this data?

a)

0.0oC to 100.0oC

b)

10.0oC to 20.0oC

c)

–100.0oC to 100.0oC

d)

10.0oC to 50.0oC

19.

If data download speed in bits per second (bps) is plotted as a function of time, data speed is considered…

a)

the dependent variable

b)

a constant function

c)

the independent variable

d)

nondecreasing

20.

If every student gets exactly half the answers right on a quiz, the standard deviation is…

a)

the mean

b)

zero

c)

the median

d)

impossible to determine

21.

A tabulation of cumulative frequency is useful in determining the…

a)

mode

b)

variance

c)

median

d)

mean

22.

A subset of a population is known as a …

a)

sample

b)

random variable

c)

continuous variable

d)

discrete variable

23.

11 students take a 10-question quiz. One student gets 10 correct, one gets 9 correct, one gets 8 correct, and so on, to one student getting none correct. What is the median?

a)

4.5

b)

5

c)

5.5

d)

none of these

24.

11 students take a 10-question quiz. One student gets 10 correct, one gets 9 correct, one gets 8 correct, and so on, to one student getting none correct. What is the mode score?

a)

4.5

b)

5

c)

5.5

d)

no mode

25.

The largest cumulative absolute frequency in a set of numbers is equal to …

a)

the sum of all the individual frequency values

b)

twice the median

c)

twice the mean

d)

twice the mode

26.

Which of the following is an expression of the extent to which values are spread out relative to the mean?

a)

median

b)

Q2

c)

standard deviation

d)

mode

27.

If, for a 10-question quiz, mean = 7.2 and stdev = 0.72, what is the coefficient of variation?

a)

0.1

b)

10

c)

100

d)

We need n to find CVar

28.

If, for a 10-question quiz, Xmin = 3 and Xmax = 10, what is the 50th percentile?

a)

7

b)

6.5

c)

30.5

d)

We need all the scores to find P50

29.

If you are told you scored at the 91st decile on the SAT, this means …

a)

90 students had scores higher than you

b)

90% of test-takers had scores higher than yours

c)

90% of the test-takers had scores lower than yours

d)

Nothing; there is no such thing as the 91st decile

30.

If you are told you scored at the 91st percentile on the SAT, this means your score …

a)

is among the best

b)

is among the lowest

c)

is near the middle of the range

d)

has low correlation

31.

The arithmetic average of experimental outcomes is known as the …

a)

continuous variable

b)

discrete variable

c)

frequency

d)

mean

32.

If Q1 = 5, Q2 = 8, Q3 = 12, mean = 9, and stdev = 2, what is the IQR?

a)

3

b)

4

c)

7

d)

11

33.

When you randomly draw 2 cards from a deck with replacement, these are ...

a)

complementary events

b)

dependent events

c)

independent events

d)

impossible events

34.

If 80% of students have cell phones & you randomly choose 2 students, P(both have cell phones) =

a)

90%

b)

81%

c)

64%

d)

other

35.

If 80% of students have cell phones & you randomly choose 2 students, P(at least 1 has a cell phone) =

a)

96%

b)

80%

c)

99%

d)

other

36.

Use the table to determine the probability of selecting a marble OR a green item.

a)

635\frac{6}{35}

b)

2335\frac{23}{35}

c)

2535\frac{25}{35}

d)

1635\frac{16}{35}

37.

At a school with 1,000 students, 200 are seniors, 80 are in AVID, and 40 are seniors in AVID. P(senior or in AVID) =

a)

24%

b)

26%

c)

30%

d)

none of these

38.

Roll two dice. P(sum is 10) =

a)

1/36

b)

1/18

c)

1/12

d)

0

39.
Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?
a)

Not Mutually Exclusive

b)
Mutually exclusive
c)
1/2
d)
1/6
40.

Jillian rolled a number cube 360 times. About how many times do you expect her to roll a number less than 3?

a)

2

b)

180

c)

60

d)

120

41.

Find the Z-score.

Mean = 29

Standard Deviation: 3.1

x = 22

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

42.
What is the variance for the SAMPLE data set {1, 2, 6} ?
a)
7
b)
3
c)
4.67
d)
14
43.

If a data set has a variance of 9 and a median of 10.1, what is the standard deviation?

a)

6.9

b)

10.1

c)

81

d)

3

44.

Per Chebyshev's theorem, at least what % of a data set will fall within 2 standard deviations of the mean?

a)

75%

b)

89%

c)

50%

d)

99%

45.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
46.

What is "variation" in statistics?

a)

A measure of evolutionary change in a species

b)

A measure of how spread out is a data set

c)

A measure of central tendency

d)

The number of items in a data set

47.

Which is NOT a measure of variation?

a)

standard deviation

b)

mean

c)

variance

d)

range

48.

Find the mean of these numbers:

5,11,2,0,4,2

a)

4.1

b)

6

c)

4.5

d)

4

49.

Identify the midrange for the given data:

23, 63, 27, 7, 30, 26, 28, 31, 34

a)

21

b)

14

c)

42

d)

35

50.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

54, 49, 67, 18

b)

54, 48, 69, 21

c)

52, 47, 69, 22

d)

54, 49, 69, 20

51.

Use the interquartile range to identify any outliers in the following data.

23, 22, 25, 16, 27, 93, 29, 40, 35

a)

No outliers.

b)

93 is the only outlier.

c)

16 is the only outlier.

d)

16 and 93 are outliers.

52.

The table shows the swim times for the swimmers in the final heat. Find and interpret the interquartile range of the swim times.

a)

The middle quarter of the swim times vary by no more than 1 second.

b)

The middle half of the swim times vary by no more than 1 second.

c)

The middle quarter of the swim times vary by no more than 1.2 seconds.

d)

The middle half of the swim times vary by no more than 1.2 seconds.

53.

Choose the best answer: The Median is also the ...

a)

the 2nd Quartile

b)

the 50th Percentile

c)

the 5th Decile

d)

all of these

54.

Given the data set: 2, 3, 9, 11, 16, 45, 102, calculate the percentile rank for 9.

a)

50

b)

62.5

c)

72.5

d)

36

55.

Data set A: mean=12, stdev=0.6. Data set B: mean=6, stdev=0.4. Use the Coefficient of Variation to determine which set has less variation.

a)

Set A

b)

Set B

c)

They have the same variation

d)

It is impossible to tell with this information

56.
A data set can have more than one _______
a)
Median
b)
Mode
c)
Mean
d)
Midrange
57.

How many students scored more than 90%?

a)

10

b)

13

c)

7

d)

6

58.

What measure of central tendency (mean, median or mode) would be best for the following set of data?

0, 89, 92, 97, 99, 100

a)

Mode, because it is the one that shows up the most.

b)

Median, because there is an outlier. The outlier would influence the mean too much.

c)

Mean, because you should always use the mean.

d)

There is not a best measure of central tendency for this data.

59.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
60.

Which box and whisker plot has the lowest median?

a)

Top plot

b)

Bottom plot

61.

Which has a Median of 1.25?

a)

Zach

b)

Steven

c)

They both have a median on 1

62.

What is the range in gas mileage for SUVs?

a)

2

b)

3

c)

4

d)

6

63.

What shape is the data shown in the dot plot?

a)

symmetrical

b)

clustered to the left

c)

clustered to the right

d)

uniform

64.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
65.
What is an interval?
a)
A single number
b)
A range of numbers
c)
A percentage
d)
A total amount
66.

What type of graph is shown?

a)

Histogram

b)

Frequency Polygon

c)

Ogive

d)

Line graph

67.

What type of graph is shown?

a)

Histogram

b)

Frequency Polygon

c)

Ogive

d)

Line graph

68.
How would you describe the shape of the data graphed?
a)
Skewed right
b)
Skewed left
c)
Symmetric (bell or normal curve)
d)
Uniform
69.

What type of graph is shown?

a)

Scatter Plot

b)

Dot Plot

c)

Time Series Chart

d)

Pareto Chart

70.

Any possible result of an action is an ...

a)

order

b)

outcome

c)

obstruct

d)

outlier

71.
The set of all possible outcomes of a probability experiment is:
a)
sample space
b)
sample set
c)
sample search
d)
sample slate
72.
A defined collection of individuals or objects about which we want to draw conclusions.
a)
Population
b)
Census
c)
Sample
d)
Survey
73.
Information about individuals in a population.
a)
Parameter
b)
Data
c)
Probability
d)
Variable
74.
A Quantitative Discrete Variable takes exact number values and is often a result of counting. Which is an example of a discrete variable?
a)
The score on your last test
b)
How long it takes to drive to Seattle
c)
The distance from Salem to Portland
d)
The number of students in a school
75.

If a value of 16.5 yd is recorded, what are the boundaries for that value?

a)

16 - 17 yd

b)

15.5 - 16.5 yd

c)

16.0 - 17.0 yd

d)

16.45 - 16.55 yd

76.
Joe wants to know the study habits of HS students.  He surveyed 30 students & found that 7 study less than 2 hours/week, 17 study 2-4 hrs/wk, and 6 study more than 4 hrs/wk.  As presented, this DATA is…
a)
inferential
b)
descriptive
c)
qualitative
d)
interval
77.
Eye color is an example of which level of measurement?
a)
nominal
b)
ordinal
c)
interval
d)
ratio
78.

The weight of pencils in student lockers is an example of which level of measurement?

a)

nominal

b)

ordinal

c)

interval

d)

ratio

79.

Quantitative variables that have a meaningful zero are called ...

a)

nominal

b)

ordinal

c)

interval

d)

ratio

80.
Joe wants to know the study habits of HS students.  He surveyed 30 students & found that 7 of them study less than 2 hours/week, 17 study 2-4 hrs/wk, and 6 study more than 4 hrs/wk.  The VARIABLE is…
a)
type of student
b)
hours of study
c)
Joe
d)
high school