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M1 Unit 6 Review (Statistics)

Total questions: 101

Worksheet time: 3hrs 26mins

Name
Class
Date
1.

The mean of a data set can be found by...

a)

subtracting the minimum from the maximum

b)

choosing the middle number

c)

choosing the number that occurs most

d)

finding the sum of the numbers and then dividing by the total amount of numbers in the data set

2.

The median of a data set can be found by...

a)

subtracting the minimum from the maximum

b)

choosing the middle number

c)

choosing the number that occurs most

d)

finding the sum of the numbers and then dividing by the total amount of numbers in the data set

3.

The mode of a data set can be found by...

a)

subtracting the minimum from the maximum

b)

choosing the middle number

c)

choosing the number that occurs most

d)

finding the sum of the numbers and then dividing by the total amount of numbers in the data set

4.

The range of a data set can be found by...

a)

subtracting the minimum from the maximum

b)

choosing the middle number

c)

choosing the number that occurs most

d)

finding the sum of the numbers and then dividing by the total amount of numbers in the data set

5.

The median of the numbers 34, 32, 12, 65, and 45 is...

a)

34

b)

32

c)

12

d)

65

6.

There can be more than one mean

a)

True

b)

False

7.

There can be more than one mode

a)

True

b)

False

8.

What is the first step when looking at data?

a)

Find the mean

b)

Put them in order from least to greatest

c)

Sort the data into categories

d)

Find the range

9.

What is the range of 45, 56, 23, 74, and 63?

a)

18

b)

51

c)

23

d)

56

10.

Find the mean of 1, 2, 3, 4, and 5

a)

7

b)

3

c)

4

d)

2

11.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

12.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

13.

What is shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

14.

What is the shape of the data?

a)

symmetrical

b)

skewed left

c)

skewed right

d)

bell curve

15.

Which statement best describes this graph?

a)

There is a peak at 47.

b)

There is a cluster around 38-40.

c)

The mode is 40.

d)

There is a gap in the data between 39-40.

16.

Which statement best describes this graph?

a)

There is a peak at 2.

b)

There is a gap in the data.

c)

Most people own 1 pet.

d)

There is no mode.

17.

Which statement best describes this graph?

a)

The graph is symmetrical.

b)

There is a cluster of data between 23 and 25.

c)

The spread is 10.

d)

The most students sold 25 magazines.

18.

Which statement best describes the graph?

a)

The data is skewed left.

b)

The data is symmetrical.

c)

There is a peak between 10 and 14 hours.

d)

There is a cluster between 5 and 9

19.

What is the spread of the data?

a)

4

b)

10

c)

19

d)

9

20.

Where is the gap in the data?

a)

between 23 and 25

b)

between 17 and 20

c)

at 18

d)

at 22

21.

A data distribution that is Uniform ...

a)

Looks like a Square

b)

Looks like a Triangle

c)

Looks like a Parallelogram

d)

Looks like a Rectangle

22.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Uniform

23.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

d)

Uniform

24.

What is the shape of the distribution?

a)

Symmetrical

b)

Uniform

c)

Skewed Right

d)

Skewed Left

25.

Describe the clusters in this distribution.

a)

There is a cluster from 2.2-2.6

b)

There is no cluster because the data is all together.

26.

Describe the gaps in the distribution.

a)

There are no gaps in the data.

b)

There is a gap at 2.7

c)

There is a gap at 2.1

27.

Describe the outliers in the distribution.

a)

There is an outlier at 2.8

b)

There is an outlier at 2.4

c)

There are no outliers.

28.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

29.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

30.

How many total have no cell phone?

a)

13

b)

9

c)

22

d)

100

31.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

32.
How many sophomores like burritos and pizza?
a)
6
b)
5
c)
11
d)
50
33.
In a class of 25 students, 80% of students maintain an A average. How many students don't have an A average?
a)
0 Students
b)
-3 Students
c)
15 Students
d)
5 Students
34.
According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
35.
Which age group liked Action movies the least?
a)
18-25
b)
25-49
c)
50+
d)
238
36.
How many females were surveyed?
a)
10
b)
16
c)
26
d)
14
37.
Of the mechanical engineers, what is the probability that math is their favorite subject?
a)
1.91
b)
52%
c)
17%
d)
35%
38.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school? 
a)
4%
b)
14%
c)
13%
d)
29%
39.
What was the most popular party type?
a)
Bowling
b)
Skating
c)
Dancing
d)
Total
40.
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
a)
There are more band members than non-band members
b)
There are more boys in the class than girls
c)
There are more boys in band than not in band
d)
More than half of the bands members in the class are girls
41.

What percent of all students were females who prefer football?

a)

16%

b)

80%

c)

8%

d)

12%

42.

According to this table, how many males walk to work?

a)

80

b)

221

c)

34

d)

141

43.

How many children prefer vanilla ice cream?

a)

78

b)

131

c)

26

d)

105

44.

How many adults took this survey?

a)

52

b)

41

c)

93

d)

131

45.

How many total people were surveyed?

a)

224

b)

448

c)

131

d)

146

46.

Match the following term to its definition.

a)

Center

1.

The one number that summarizes data by giving the middle or center value. Measured by mean or median

b)

Skewed data

2.

When a set of data is not symmetrical, it can be skewed

c)

Spread

3.

The one number that summarizes the variation in the data. Measured by the range.

d)

Overall shape

4.

The frequency of data and any data that is skewed to the left or right.

47.

​ ​ ​ (a)   : the "average" value for the data.

​ (b)   : the value for which half the numbers are larger and half are smaller.

​ (c)   : To find, subtract the smallest value from the largest value in a set of data.

​ (d)   : The difference of the values of the first and third quartiles.

Choose from the below words
Mean
Median
Range
Interquartile Range
48.

​ (a)   : The center number between the minimum value and the median.

​ (b)   : The center number of the entire data set.

​ (c)   : The center number between the median and the maximum value.

Choose from the below words
First Quartile
Median
Third Quartile
49.

Match the following display to its name.

a)
1.

Box Plot

b)
2.

Dot Plot

c)
3.

Histogram

50.

This list shows the number of math problems solved each week by a sixth grade student.

23, 19, 26, 20, 31, 16, 20, 29, 27

Which box plot BEST represents this list?

a)

b)

c)

d)

51.

The dot plot shows the number of times 14 students have attended a sporting event.

What number is the median of the data set?

a)

1

b)

4

c)

5

d)

7

52.

Which question is a statistical question because it could have more than one answer?

a)

Where does the current US president live?

b)

What size coat am I wearing today?

c)

Did Jack wear sneakers or boots to school today?

d)

What size shirt do the kids in the school wear?

53.

The data show the numbers of pencils students in Mrs. Johnson's class each have in their backpacks.

0, 0, 2, 3, 1, 5, 2, 4, 6, 3, 3, 4, 7

Create a histogram to represent the data from Mrs. Johnson's class.

54.

The data shown represents the number of laps each of 10 students ran around the track during gym class.

8, 10, 7, 7, 10, 8, 9, 10, 10, 7

Complete the line plot by drawing the two missing data points.

55.
Solve by elimination:
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
56.

-5x + 5y = -5

x - 5y = -7

a)

(3, 2)

b)

(-1, 3)

c)

Infinite solutions

d)

No solutions

57.

What is the x-value for the solution to the following system of equations?

x+2y=13x+2y=13  

−x+y=5-x+y=5  

a)

-1

b)

6

c)

1

d)

-6

58.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
59.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
60.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
61.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 
a)
10c + 5d = 14.25
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
62.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
63.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

64.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

65.

Which point is a solution to the system of inequalities?

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

66.
Which inequality is shown in the graph?
a)
y < 2x + 1
b)
y < -2x + 1
c)
y ≤ 2x + 1
d)
y ≤ -2x + 1
67.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

68.
Match
a)
y < x−2 
y < 3
b)
y > -x+2
y > 3
c)
y < -x+2
y < 3
d)
y < -x+2
y > 3
69.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

70.

What's the difference between systems of equations and systems of inequalities?

a)

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

b)

Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

c)

Systems of equations have a shaded region while systems of inequalities do not.

d)

There is no difference.

71.
Rewrite this inequality in "y=" form to graph. 
3x - 6y > 12
a)
y > 1/2x - 2
b)
y < -1/2x + 2
c)
y < 1/2x - 2
d)
y > -3x - 2
72.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
73.

When you graph an inequality, you use a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

74.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

75.

What is the shape of the Data Set?

a)

Skewed Left

b)

Symmetrical

c)

Skewed Right

76.

What is the shape of the Data Set?

a)

Skewed Left

b)

Symmetrical

c)

Skewed Right

77.

What is the shape of the Data Set?

a)

Skewed Left

b)

Symmetrical

c)

Skewed Right

78.

Describe the shape of the graph.

a)

Symmetrical

b)

Skewed

c)

Uniform

79.

How would you describe this data?

a)

Skewed Left

b)

Skewed Right

c)

Symmetrical

d)

A total amount

80.
What is the shape of the distribution?
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
81.
What is the shape of the distribution?
a)
Skewed Left 
b)
Skewed Right
c)
Symmetric
d)
Bimodal
82.
How would you describe this distribution?
a)
Left skewed
b)
Uniform
c)
Right Skewed
d)
Symmetrical
83.

Choose the best description of the overall shape of the dot plot.

a)

Skewed

b)

Uniform

c)

Symmetrical

84.

True or false, the data is skewed.

a)

True

b)

False

85.

How would you describe this data?

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

d)

Tails

86.

Describe the shape of distribution.

a)

Symmetrical - U shaped/bimodel

b)

Symmetrical - bell shaped

c)

Skewed right

d)

Skewed left

87.

Describe the shape of distribution

a)

Skewed right

b)

Symmetrical - bell shaped

c)

Skewed left

d)

Symmetrical - U shaped/bimodel

88.

Describe the shape of distribution

a)

Bimodal

b)

Symmetrical

c)

Skewed Right

d)

Skewed Left

89.

Describe the shape of distribution

a)

Bimodal

b)

Symmetrical

c)

Skewed Right

d)

Skewed Left

90.

Describe the shape of distribution

a)

Bimodal

b)

Symmetrical

c)

Skewed Right

d)

Skewed Left

91.

Describe the shape of distribution

a)

Bimodal

b)

Symmetrical

c)

Skewed Right

d)

Skewed Left

92.

Describe the shape of distribution

a)

Uniform

b)

Bell Shaped

c)

Skewed Right

d)

Skewed Left

93.

Describe the shape of distribution

a)

Uniform

b)

Bell Shaped

c)

Skewed Right

d)

Skewed Left

94.

Identify any outliers and clusters

a)

cluster at 8

b)

Clusters at 5 and 11

c)

Outlier at 8

d)

No outliers or clusters

95.

Identify any outliers and clusters

a)

Cluster at 5

Outlier at 10

b)

Clustered near 4 and 6

Outlier at 10

c)

Cluster at 6

d)

No outliers or clusters

96.

Identify any outliers and clusters

a)

Cluster 7

b)

Clustered near the 70s

c)

78 is an Outlier

d)

No outliers or clusters

97.

Identify any outliers and clusters

a)

Clustered around 22

b)

Clustered at 25

c)

28 is an Outlier

d)

No outliers or clusters

98.

Identify any outliers and clusters

a)

Clustered around 13 and 16

b)

Clustered at 15

c)

13 is an Outlier

d)

No outliers or clusters

99.

Identify any outliers and clusters

a)

Clustered around 0

b)

Clustered around 1

c)

7 is an Outlier

d)

No outliers or clusters

100.

Identify any outliers and clusters

a)

Clustered around 6

b)

Clustered around 51

c)

51 is an Outlier

d)

No outliers or clusters

101.

Which descriptor is most accurate?

a)

Clustered around 15

b)

Clustered around 10

c)

10 is an Outlier

d)

No outliers or clusters

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