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Prob & Stats Semester 1 Review ch 1-6

Total questions: 70

Worksheet time: 3hrs 49mins

Name
Class
Date
1.

Identify whether the statement describes inferential or descriptive statistics:

There is a relationship between a person's height and weight

a)

inferential

b)

descriptive

2.

Identify whether the statement describes inferential or descriptive statistics:

The results for the homecoming survey

a)

inferential

b)

descriptive

3.

Determine whether the data are qualitative and quantitative:

the number of wins for the volleyball team

a)

qualitative

b)

quantitative

4.

Determine whether the data are qualitative and quantitative:

the favorite food of the senior class

a)

qualitative

b)

quantitative

5.

Identify the data set’s level of measurement:

the temperature of Igloo ice cream

a)

nominal

b)

ordinal

c)

interval

d)

ratio

6.

Identify the data set’s level of measurement:

the number of tackles Wade gets during the football season

a)

nominal

b)

ordinal

c)

interval

d)

ratio

7.

Identify the data set’s level of measurement:

a player's position for their team

a)

nominal

b)

ordinal

c)

interval

d)

ratio

8.

Identify the sampling technique used:

You survey a few students from each grade level

a)

stratified

b)

random

c)

cluster

d)

convenience

e)

systematic

9.

Identify the sampling technique used:

You email a survey to the entire student body and hope some of them actually take it

a)

stratified

b)

random

c)

cluster

d)

convenience

e)

systematic

10.

Identify the population:

When 200 students from TVHS were surveyed, it was found that 84% of them have Internet access at home.

a)

200 students

b)

TVHS students

c)

84%

d)

168 students

11.

Identify the sample:

When 200 students from TVHS were surveyed, it was found that 84% of them have Internet access at home.

a)

200 students

b)

TVHS students

c)

84%

d)

168 students

12.
The number of orange Skittles in a bag. 
a)
Discrete
b)
Continuous
13.
Graph of the growth of a plant for the next 30 days. 
a)
Discrete
b)
Continuous
14.

Identify the sampling technique used:

You survey all students from one grade level

a)

stratified

b)

random

c)

cluster

d)

convenience

e)

systematic

15.

Observe the frequency distribution:

What is the class width?

a)

11

b)

10

c)

25

d)

19.5

16.

Observe the frequency distribution:

Calculate the midpoint of the seventh class.

a)

86

b)

91

c)

96

d)

96.5

e)

85.5

17.

Observe the frequency distribution:

List the class boundaries.

a)

20, 31, 42, 53, 64, 75, 86, 96

b)

20, 31, 42, 53, 64, 75, 86

c)

19.5, 30.5, 41.5, 52.5, 63.5, 74.5, 85.5, 96.5

d)

30, 41, 52, 63, 74, 85, 96

18.

Observe the histogram and choose the frequency distribution that corresponds to it.

a)
b)
19.

The following data set shows the minutes spent on internet by 50 internet users. Use seven classes to construct a frequency distribution. What's the class width?

a)

11

b)

12

c)

7

d)

86

20.

Which pie chart represents the same data as the table?

a)
b)
c)
d)
21.

What is the missing number in the cumulative frequency column?

a)

19

b)

9

c)

15

d)

22

22.

Dennis kept track of the high temperature for 2 weeks in October. Here are the temperatures he recorded:

82, 81, 81, 86, 77, 82, 86, 82, 75, 73, 73, 64, 59, 55

Which stem and leaf plot correctly shows this data?

a)
b)
c)
23.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
24.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
25.

Given the data: 136, 150, 119, 150, 125, 140.

Find Q3Q_3

a)

 125

b)

150

c)

139.5

d)

143

26.

Find Q1Q_1  of the following set of scores 6, 7, 8, 9, 11, 13, 15

a)

13

b)

7

c)

9

d)

6

27.

Find the IQR of the data

20, 22, 25, 29, 31

a)

30

b)

21

c)

25

d)

9

28.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
29.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
30.

Find the midrange.

2, 5, 8, 3, 13, 5

a)

11

b)

13

c)

5

d)

7.5

31.
Describe the data distribution shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
32.

What is the standard deviation for the SAMPLE data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

33.

What does the symbol σ\sigma represent?

a)

Standard Deviation of a population

b)

Variance of a population

c)

Standard Deviation of a sample

d)

Sigma

34.

What is the variance for the SAMPLE data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

47.47

b)

102.01

c)

52.77

d)

81

35.

Find the mean.

a)

10

b)

20

c)

30

d)

40

36.

Find the variance.

a)

30

b)

6.08

c)

36.92

d)

1440

37.
Johnny Jim's offers sub sandwiches with either salami, ham or turkey along with a choice of green peppers or pickle slices.  They also offer Provolone or American cheese.  If I choose one item from each category, how many subs are possible?
a)
12
b)
18
c)
7
d)
24
38.
In how many different ways can a coach name the first three batters in a nine-batter baseball lineup?
a)
168
b)
504
c)
27
d)
84
39.

"The student body of 165 students wants to elect three representatives". Is this a permutation, combination, or neither?

a)

Combination

b)

Fundamental Counting Principle

c)

Permutation

40.

How many 4-digit pin numbers can be created if the first digit cannot be zero.

a)

9000

b)

40

c)

39

d)

90

41.

In how many different ways can a committee of three people be selected from a total of eight?

a)

56

b)

336

c)

24

d)

512

42.

What is the probability of choosing a 4 or 5 from a deck of cards?

a)

1/13

b)

2/13

c)

8/13

d)

2/52

43.

What is the probability of choosing a spade from a deck of cards?

a)

1/13

b)

1/4

c)

4/52

d)

13/26

44.

What is the probability of choosing a heart, replacing it, then choosing a heart again?

a)

1/4

b)

1/16

c)

1/169

d)

4/169

45.

What is the probability of choosing an Ace, replacing it, then choosing a diamond?

a)

1/13

b)

1/52

c)

13/52

d)

1/169

46.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
47.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
48.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
49.

When rolling a single die, the events of rolling an odd number and rolling a prime are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

50.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
51.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?
a)
13/52
b)
26/52
c)
39/52
d)
Not possible
52.

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

53.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

54.
List the possible outcomes in the sample space for flipping a coin.  
a)

heads

b)

tails

c)

heads and tails

d)

penny, dime, nickel, quarter

55.
Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6
a)
14
b)
4.67
c)
5
d)
7.5
56.
a)

A

b)

B

c)

C

d)

D

57.
Which of the following shows how to determine P(diamond or face card)?
a)
13/52 + 12/52 - 3/52
b)
3/52 + 13/52 -12/52
c)
3/52 + 12/52 - 13/52
d)
1/13 + 3/52 - 1/4
58.
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
a)
2/5
b)
1/21
c)
4/25
d)
1/7
59.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
60.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

a)

0.962

b)

0.132

c)

0.831

d)

0.250

61.

X is the number of heads when a fair coin is flipped 12 times


Find P(X ≥ 8)

a)

0.93

b)

0.12

c)

0.81

d)

0.19

62.
Classify: The numbers of cheeseburgers a fast-food restaurant serves each day
a)
None of these
b)
Abstract
c)
Continuous
d)
Discrete
63.

Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. Find the expected value of the game

a)

$800

b)

-$6.50

c)

-$6

d)

-$5.20

64.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
65.
Which is NOT a characteristic of normal distribution?
a)
Symmetrical
b)
Bell-shaped
c)
Random
d)
Continuous
66.

The actual weight of bags of mixed vegetables is normally distributed with a mean weight of 16.0 oz and a standard deviation of 0.1 oz. Find the number of bags of mixed vegetables in a shipment of 700 bags that weigh more than 16.1 oz.

a)

18

b)

95

c)

238

d)

111

67.

Find the value of x.

Z-score = -2.2

mean = 25

Standard Deviation: 7

a)

9.6

b)

-36

c)

5.2

d)

23.46

68.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last 6 days or less?
a)

68%

b)

97.7%

c)

16%

d)

2.3%

69.
A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.
a)

2.28%

b)

.15%

c)

2.35%

d)

2.25%

70.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. About what percent of the products last 10 days or more?

a)

25.14%

b)

97.67%

c)

56.67%

d)

74.86%