Unit 4 - Describing Data
• Central Tendencies : Mean, median, mode
• Spread: Q1, Q3, IQR, Min, Max, Range, MAD
• Graphs:
• Box-and-Whiskers
• Histograms
• Dot Plots
• Correlation: positive, negative, none
• Line of Best Fit
• Residuals
• Pattern=Problem, No Pattern = No Problem
• Regressions: Linear vs. Exponential
• Probability Tables: Joint, Marginal, Conditional
1) What is the IQR of the data?
44
48
52
56
60
64
68
72
76
80
84
88
92
96
2) Identify the 1st quartile, 3rd Quartile and
the Median of the data.
44
48
52
56
60
64
68
72
76
80
84
88
92
96
3)Find the Mean
Absolute Deviation
(MAD) of the following
data:
77, 48, 65, 80, 71
4) How many cars get between 15 and
30 miles per gallon?
5) What is the probability that a student
surveyed is a freshman?
Math
9th
10th
Total
50
22
72
Social
Studies
18
20
38
P.E
Total
40
50
90
108
92
200
6) If a student likes Math, what is the probability
that they are a freshman?
Math
Social
Studies
P.E
Total
9th
50
18
40
108
10th
22
20
50
92
Total
72
38
90
200
7) Does the situation represent
a positive, negative or no
correlation
Number of hours studying for
the SAT and your score
8) Does the situation represent
a positive, negative or no
correlation
The distance you drive and the
number of stars in the sky
9)Does the situation represent
a positive, negative or no
correlation
The temperature and the length
of daylight hours for the day
10)Tell if the situation is causation
The number of boats on Lake
Allatoona and the number of cars
on the street
11) Tell if the situation is causation:
The hours you work and the money
you make
12) Tell if the situation is causation:
The time spent studying and the A on
the test
13) Which class has the
greatest range?
14) Which class has the largest
minimum heart rate?
15) Which class has the smallest
lower quartile?
16) Which of the following graphs has
a strong negative correlation?
A
C
B
D
17) The events x and y have a correlation
coefficient of 𝑟 = −0.89. What is the
relationship between x and y?
A. The events have a strong negative linear
relationship.
B. The events have a strong positive linear
relationship
C. The events have a weak negative linear
relationship
D. There is very little or no correlation.
18) Given the scatter plot, what is the
best type of function to represent the
data?
A.Linear
B.Quadratic
C.Exponential
D.No
Correlation
19) Between which of the following
variables would you expect there to be a
positive correlation?
A. The outside temperature and the number of layers
of clothing a person wears.
B. The number of students at Hillgrove and the
number of cats at the animal shelter
C. The number of cigarettes a person smokes and the
person’s life expectancy
D. The number of years spent in school and salary.
20) Which of the following is one of the 5
values needed to make a box-and whisker
plot?
A.Range
B. 1st Quartile
C. Mode
D.Interquartile Range
21)Lauren asked five of her friends how long they
practiced shooting free throws and their shooting
percentage in the last 5 games. She found a linear
regression equation for the data to be
𝑦 = 10.5𝑥 + 50.6. What does the 10.5 mean in
the context of this equation?
A. That her friends shot an average of 10.5 free throws a
game.
B. That for every hour they practiced, their free throw
percentage went up 10.5
C. That they need to practice 10.5 hours a day to increase
their free throw percentage.
D. None of these
22) Chaz and Tyr’e each get paid a
bonus at the end of each month.
This table shows their bonuses:
Month
January
February
March
April
May
June
July
Chaz
$250
$290
$270
$240
$260
$270
$280
Tyr’e
$250
$340
$310
$300
$260
$280
$270
Who had the greatest Median?
23) Chaz and Tyr’e each get paid a bonus at
the end of each month. This table shows
their bonuses:
Month
January
February
March
April
May
June
July
Chaz
$250
$290
$270
$240
$260
$270
$280
Tyr’e
$250
$340
$310
$300
$260
$280
$270
Who had the greatest Range?
24) Which shark lived longer than any
other shark?
25) About how long did the
Basking Shark live?
26) Which Shark lived about one-third as long
as the Dusky Shark?
27) Tell what kind of Correlation the
graph has.
28) Tell what kind of Correlation the
graph has.
29) Tell what kind of Correlation the
graph has.
30) Describe the type of correlation represented
in the graph below.