Algebra
Name: ______________________________
Data Analysis Review
Scatter Plots, Linear Regression, Box Plots, Measures of Central Tendency
Determine the correct correlation of two variables given a graph.
2.
Miles per
Gallon
Calories
Burned
1.
Age of Car
Hours
Favorite
Color
3.
Age
Determine the correct correlation of two variables.
4.
Amount of fat in your diet and cholesterol level
5.
People that like chicken and people who like math
6.
Amount of time studying and failing grades
Create a scatter plot for the data sets below. Draw a best fit line on each scatter plot and then use it to
make a prediction.
Ice Cream Sales
7.
Prediction if Temperature
is 30 degrees Celsius:
700
Ice Cream Sales ($)
600
_____________
500
400
300
200
100
0
0
5
10
15
20
Temperature in Degrees Celsius
25
30
8.
Weight vs. Height
Prediction if height is
230 cm:
140
_____________
120
Weight (kg)
100
80
60
40
20
0
140
150
160
170
180
190
200
210
220
230
240
Height (cm)
Use a graphing calculator to find the linear regression equation for the given data. Find the correlation
coefficient, r. Round your answers to three decimal places. Use your equation to make a prediction for
the given x-value.
9.
Recently, Adam put larger wheels on his skateboard and noticed it would coast farther. He gathered the
following data:
Wheel Diameter (in.) 1 2 3.5 5 5.5 7 8.5 9.5 10
Rolling Distance (in.) 17 23 32 30 36 52 57 55 70
y = ______________________________
r = ________________
Prediction if Wheel Diameter is 6 in.: _______________
10.
A random survey of a small group of high school students collected information on the students’ ages
and the number of books they had read in the past year.
Age (years)
Books Read
16 15 18
5 3 8
y = ______________________________
17 16
6 4
15 14
4 5
17
15
r = ________________
Prediction if student was 12 years old: _______________
11.
Calculate the 5-number summary for the data set below.
65
83
73
88
Min: _______ Q1: ______
96
94
47
81
78
Median: ________ Q3: _______
90
55
72
Max: _______
90
12.
Calculate the IQR.
Interquartile Range (IQR): ______________ = ________
13.
14.
Using the 5-number summary below, draw a box plot and label it.
Min: 11
Q1: 13
10
12
11
Median: 16
13
14
15
Q3: 19
16
17
Max: 20
18
19
20
21
92
84
76
79
Use the data below to draw a box plot. Label the key parts.
67
83
66
45
56
76
87
88
64
46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
15.
Which set of data best fits the plot below? Circle the best answer.
40
16.
44
48
52
56
60
64
68
72
74
A.
52, 55, 56, 57, 58, 60, 68, 74
C.
50, 53, 60, 60, 64, 68, 72, 74
B.
52, 55, 57, 62, 66, 67, 69, 74
D.
52, 55, 61, 64, 68, 68, 72, 78
78
Determine what % of the data values are between the key components of the box plot.
A.
Median & Upper Quartile:
___________
B.
Minimum & Upper Quartile:
___________
C.
Lower Quartile & Maximum Value: ___________
Use the box plots below to answer questions #17-19.
Box Plot A
Box Plot B
60
17.
70
75
80
85
90
100
They are spread evenly from 60 – 95.
The scores are closer together between Q1 and the median than the median and Q3.
The scores are closer together in the lowest fourth of the scores than in the highest fourth.
The mean of the scores is 70.
_____: What is the significance of the value 70 in box plot B?
A.
B.
C.
D.
75% of the data is larger or equal
25% of the data is larger or equal
75% of the data is smaller or equal
Upper Quartile
19.
_____: Which box plot has a smaller IQR?
20.
Find each measure of center for the given data below.
100
98
45
Mean: _________
21.
95
_____: Which statement below best describes the scores in the box plot A?
A.
B.
C.
D.
18.
65
57
79
87
77
Median: _________
88
88
43
78
65
Mode: __________
If 10 was added to the data above, which measure of center would be affected most?
A.
Mean
B.
Median
C. Mode
Solve the following.
22.
_____%
Natalie received an 75%, 75%, 68%, and 82% on her first four math tests.
What is the minimum score she would have to earn on her next test if she
wants her math test average to be a 80%?
90
23.
_____%
On the last social studies test, 8 students received a 75%, 3 students received
an 82%, 4 students received a 92%, and 6 students received a 71%. What
was the average test score of the entire class? Round your answer to the
nearest percent.
24.
_____%
You have a 94% average after 6 science tests. What is the lowest score that
you can receive on the seventh test to still get an A in the class? The grading
system is listed below:
Adv:
Pro:
AP:
IP:
91 – 100
80 – 90
70 – 79
< 70
25.
Give an example of an outlier.
26.
Give an example of when one measure of central tendency would be better to use than another measure.
27.
Create a data set of 11 numbers that has a range of 36 and a mode of 10.
28.
Create a data set of 7 that has a range of 22 and a mean of 10.
29.
Create a data set of 11 numbers that would have a range of 10, a max of 15, a median of 11, and an
upper quartile of 11.