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Prob & Stat - Unit 1 Review

Total questions: 64

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

Which would you use as best center of measure?

a)

Mean

b)

Median

2.

Would you use the mean or median to represent the data?

a)

Median

b)

Mean

c)

Not enough information to tell

3.

Compare the median and mean.

a)

mean > median

b)

mean < median

c)

mean = median

d)

Not enough information

4.

Is mean or median greater?

a)

Median > Mean

b)

Median < Mean

c)

Median = Mean

d)

Not enough information to tell

5.

Compare the mean and median in this distribution

a)

Mean = median

b)

Mean < Median

c)

Mean > Median

6.

What measure of center do we use for skewed data?

4 lines
7.

What measure of center do we use for symmetric or approximately symmetric distributions?

4 lines
8.

The median number of purchases at Harold's shoe store in a day is 32. How would you interpret this data?

a)

The average number of purchases is 32.

b)

About 50% of the purchases at Harold's shoe store is less than 32.

c)

About 75% of the purchases at Harold's shoe store is less than 32.

9.

The mean number of purchases at Harold's shoe store in a day is mean is 50. How would you interpret this data?

a)

The average number of purchases in a day is 50.

b)

About 50% of the number of purchases in the shoe store in a day is less than 50.

c)

About 25% of the number of purchases are above 50.

10.

A small accounting firm has 4 accountants who each earn a different salary between $50,000 and $60,000. For extra help during tax season, they hire a 5th accountant who earns $15,000. How will hiring a 5th accountant affect the median?

a)

Both mean and median will decrease, but the median will decrease by more than the mean.

b)

Both the mean and median will decrease, but the mean will decrease by more than the median.

c)

The mean will decrease, and the median will increase

d)

The mean will increase, and the median will decrease.

11.

A small accounting firm has 4 accountants who each earn a different salary between $50,000 and $60,000. The supervisor adds her salary of $75,000 to the data. How will adding the supervisor's salary affect the mean and median?

a)

Both mean and median will decrease, but the median will decrease by more than the mean.

b)

Both the mean and median will decrease, but the mean will decrease by more than the median.

c)

Both mean and median will increase, but the median will increase by more than the mean.

d)

Both the mean and median will increase, but the mean will increase by more than the median.

12.

Kayla owns her own boutique in Baltimore, MD. She employs 5 people who make between $30,000 and $50,000 per year. Kayla's salary is $98,000. She decides to leave the company and keep the other 5 salaries the same. How will removing Kayla's salary from the data set affect the mean and median?

a)

The mean will decrease and the median will increase.

b)

The median will decrease and the mean will increase.

c)

Both the mean and median will decrease but the median will decrease more than the mean.

d)

Both the mean and median will decrease, but the mean will decrease more than the median.

13.
What is the mean?
a)
The number that occurs the most
b)
The number in the middle
c)
The difference between the highest and lowest values
d)
The Average
14.
What is the median?
a)
The number in the middle
b)
The difference between the highest and lowest values
c)
The number that occurs the most
d)
The average
15.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
16.
Find the Median of the data set
a)
77
b)
99
c)
80
d)
78.5
17.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
18.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
19.

What is the first thing you should do before finding the median or the mode?

a)

Start crossing numbers off

b)

Put numbers in order from least to greatest

c)

List the numbers how they are

d)

Look for repeats

20.
What is the definition of the range?
a)
The average
b)
The number that occurs the most
c)
The middle number
d)
The difference of the largest and smallest numbers
21.
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
22.
Given the data: 136, 150, 119, 150, 125, 140.
Find the upper quartile (Q3). (Hint... put the numbers in order and find the median to help you find Q3)
a)
 125
b)
150
c)
139.5
d)
143
23.
Find the lower quartile (Q1) of the following set of scores 6, 7, 8, 9, 11, 13, 15
a)
13
b)

7

c)
9
d)
6
24.

Find the IQR (Q3 - Q1)  of the data

20, 22, 25, 29, 31

a)
30
b)
21
c)
25
d)
9
25.
a)

A

b)

B

c)

C

d)

D

26.
a)

A

b)

B

c)

C

d)

D

27.
a)

A

b)

B

c)

C

d)

D

28.

What is the best description of the data for Mr. Carson's class?

a)

A total of 25% of the students had 70 or more coins in their piggy banks.

b)

A total of 75% of the students had 25 or more coins in their piggy bank.

c)

A total of 25% of the students had 50 or less coins in their piggy bank.

d)

A total of 75% of the students had 60 or less coins in their piggy banks.

29.
What is the range of the data shown in the stem and leaf plot?
a)
40
b)
56
c)
136
d)
96
30.
How many games did the team play?
a)
15
b)
12
c)
24
d)
14
31.
What is the median of the scores?
a)
21
b)
16
c)
17
d)
19
32.
What is the range in gas mileage for SUVs?
a)
2
b)
3
c)
4
d)
6
33.
Is the Cars dot plot skewed left or right?
a)
left
b)
right
34.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
35.
What is the IQR of the Cruisers?
a)
4
b)
6
36.
50% of the Cruisers attended between 7 and 16 car shows.  True or False?
a)
True
b)
False
37.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
38.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
39.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
40.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
41.
Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
42.
How many total people took the survey?
a)
50
b)
150
c)
100
d)
200
43.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
44.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
45.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum 
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
46.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
47.
How would you describe this distribution?
a)
Left skewed
b)
Uniform
c)
Right Skewed
d)
Symmetrical
48.
What day sold the most cars?
a)
Friday
b)
Saturday
c)
Sunday
d)
Monday
49.
a)

7

b)

36

c)

18

d)

25

50.
a)

63

b)

56

c)

53

d)

43

51.
a)

43

b)

57

c)

41

d)

59

52.
a)

95

b)

5

c)

57

d)

3

53.
a)

31

b)

42

c)

22

d)

20

54.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
55.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
56.
Is a histogram the same as a bar graph?
a)
Yes, because they both use intervals.
b)
No, because a histogram displays numerical data while a bar graph displays categorical data.
c)
Yes, because they both use bars to display data.
d)
No, because a histogram displays categorical data while a bar graph displays numerical data.
57.
How many total students are in the science class?
a)
13
b)
6
c)
27
d)
25
58.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
59.

What is the shape of the dot plot shown?

a)

skewed left

b)

skewed right

c)

symmetrical

60.

How many total students were surveyed about their number of brothers and sisters? (add up all of the dots)

a)

15

b)

10

c)

6

61.

What is the spread of the data?

a)

2

b)

1

c)

4

d)

12

62.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
63.

While doing a project for P. E. class, Ling researched the number of athletes competing in an international sporting event.


How many countries have exactly 32 athletes?

a)

4

b)

3

c)

6

d)

1

64.

How does the median number of miles driven for Driver A compare to the median number of miles driven for Driver B?

a)

Driver B drives much less than Driver A when comparing medians.

b)

The medians are the same

c)

Driver A drives much less than Driver B when comparing medians.

d)

Driver A and Driver B make the same amount of money.

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