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Probability & Statistics Semester exam-DEC2022

Total questions: 40

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

Rolling a pair of dice, find P(sum is 7 or 11).

a)

50%

b)

16%

c)

17%

d)

22%

2.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
3.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
4.
How many employees are there that make between $33,000 and $43,000
a)
250
b)
500
c)
550
d)
750
5.
Rhaul measured the heights of the apple trees in an orchard. What percent of the trees are 5-9 feet tall?
a)
18.9%
b)
31%
c)
22.1%
d)
10%
6.
In how many games did the team score more than 20 points?
a)
8
b)
7
c)
10
d)
9
7.
What is the difference between the shortest and the longest distance of the baseball thrown?
a)
1,005 feet
b)
85 feet
c)
82 feet
d)
80 feet
8.

What is the mean for the stem and leaf plot? Given 3/2=32

a)

32.3

b)

32.8

c)

32.9

d)

33.4

9.
Find the IQR of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
78
b)
12
c)
16
d)
There is no IQR.
10.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
11.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
12.
Describe the histogram:
a)
Left Skewed
b)
Symmetrical
c)
Right Skewed
d)
Uniform
13.
What is the shape of the data for Lucy's Steakhouse?
a)
Symmetrical
b)
Skewed Left
c)
Skewed Right
14.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Bimodal

15.

How would you describe this data?

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

d)

Tails

16.
Which of the following is an example of categorical data?
a)
High School Graduate or Not
b)
Annual Income
c)
Years of Schooling Completed
d)
Years of playing an instrument
17.

Raawi asks his classmates if they have brown hair or wear glasses. B = {students with brown hair} and G = {students with glasses}. His results are shown in the Venn diagram. How many students have brown hair?

a)

13

b)

16

c)

20

d)

22

18.
What is P(not Foreign Language)?
a)
10/50
b)
13/50
c)
3/50
d)
14/50
19.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

4/13

d)

26/52

20.
If you roll one die, what is the probability of getting an even number or a multiple of 3?
a)
1/3
b)
2/3
c)
1/2
d)
1/6
21.

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

a)

320\frac{3}{20}

b)

16\frac{1}{6}

c)

1556\frac{15}{56}

d)

815\frac{8}{15}

22.

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. Joshua will select a marble at random, record its color, and then put the marble back in the bag. He will select three marbles in this way. What is the probability that Joshua will first get a red marble, then a blue marble, and then a green marble?

a)

160\frac{1}{60}

b)

5144\frac{5}{144}

c)

512\frac{5}{12}

d)

4760\frac{47}{60}

23.

What percent of the annual sales were washers?

a)

20%

b)

30%

c)

25%

d)

0.20%

24.

If a fisherman caught 1000 kilograms of fish, how many kilograms of catfish did he catch?

a)

20 kg

b)

200 kg

c)

25 kg

d)

50 kg

25.

What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?

a)

40 degrees

b)

160 degrees

c)

4 degrees

d)

90 degrees

26.

Which graph organizes data in vertical bars from largest to smallest?

a)

pareto graphs

b)

bar graphs

c)

histograms

d)

ogive graphs

27.

The total or cumulative frequency of the data shown by the ogive below is...

a)

10

b)

40

c)

83

d)

104

28.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

29.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
30.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
31.

What percentage of the data sits above the right end of the box (Q3) in a boxplot?

a)

25%

b)

50%

c)

75%

d)

100%

32.

Observe the frequency distribution:

What is the cumulative frequency of the third class?

a)

f1 + f2 + f3 = 5 + 8 + 6 = 19

b)

f1 + f2 + f3 = 5 + 6 + 10 = 21

c)

f1 + f2 + f3 = 1 + 6 + 11 = 18

33.

Observe the frequency distribution:

Estimate the relative frequency of the fourth class.

a)

69

b)

5.3

c)

0.189 or 18.9%

d)

0.54 or 54%

34.

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

a)
b)
35.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
36.

Find the percent of the shaded region.

a)

0.16

b)

0.84

c)

0.68

d)

0.34

37.

A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes. If 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes?

a)

320

b)

1550

c)

100

d)

30

38.

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

a)

z=250.5z=250.5

b)

z=1.25z=1.25

c)

z=−1.02z=-1.02

d)

z=−1.25z=-1.25

39.

A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z=−2z=-2  ?

a)

298

b)

296

c)

220

d)

380

40.

Use the image of the normal graph provided. What is the value of the standard deviation?

a)

6

b)

12

c)

36

d)

18

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