unit 4 - describing data central tendencies : mean, median, mode spread: q1, q3, iqr, min, max,...
TRANSCRIPT
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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
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44 48 52 56 60 64 68 72 76 80 84 88 92 96
1) What is the IQR of the data?
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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.
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3)Find the Mean Absolute Deviation (MAD) of the following data:
77, 48, 65, 80, 71
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4) How many cars get between 15 and 30 miles per gallon?
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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?
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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?
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7) Does the situation represent a positive, negative or no correlation
Number of hours studying for the SAT and your score
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8) Does the situation represent a positive, negative or no correlation
The distance you drive and the number of stars in the sky
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9)Does the situation represent a positive, negative or no correlation
The temperature and the length of daylight hours for the day
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10)Tell if the situation is causation
The number of boats on Lake Allatoona and the number of cars on the street
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11) Tell if the situation is causation:
The hours you work and the money you make
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12) Tell if the situation is causation:
The time spent studying and the A on the test
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13) Which class has the greatest range?
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14) Which class has the largest minimum heart rate?
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15) Which class has the smallest lower quartile?
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16) Which of the following graphs has a strong negative correlation?
A
DC
B
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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.
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18) Given the scatter plot, what is the best type of function to represent the
data?A.LinearB.QuadraticC.ExponentialD.No
Correlation
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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.
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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
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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
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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?
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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?
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24) Which shark lived longer than any other shark?
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25) About how long did the Basking Shark live?
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26) Which Shark lived about one-third as long as the Dusky Shark?
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27) Tell what kind of Correlation the graph has.
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28) Tell what kind of Correlation the graph has.
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29) Tell what kind of Correlation the graph has.
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30) Describe the type of correlation represented in the graph below.