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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
44 48 52 56 60 64 68 72 76 80 84 88 92 96
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.
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?
Math Social Studies
P.E Total
9th 50 18 40 10810th 22 20 50 92Total 72 38 90 200
5) What is the probability that a student surveyed is a freshman?
Math Social Studies
P.E Total
9th 50 18 40 108
10th 22 20 50 92
Total 72 38 90 200
6) If a student likes Math, what is the probability that they are a freshman?
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
DC
B
17) The events x and y have a correlation coefficient of . 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.LinearB.QuadraticC.ExponentialD.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.RangeB. 1st QuartileC. ModeD.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 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
Month Chaz Tyr’eJanuary $250 $250
February $290 $340March $270 $310April $240 $300May $260 $260June $270 $280July $280 $270
22) Chaz and Tyr’e each get paid a bonus at the end of each month. This table shows their bonuses:
Who had the greatest Median?
Month Chaz Tyr’eJanuary $250 $250
February $290 $340March $270 $310April $240 $300May $260 $260June $270 $280July $280 $270
23) Chaz and Tyr’e each get paid a bonus at the end of each month. This table shows their bonuses:
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.
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