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Warm-upDay of 2.1 to 2.4 Quiz
Create an appropriate visual display and write a few sentences comparing the distributions of the data below:
Number of Hurricanes
1944 – 1969 1970 – 20003, 2, 1, 2, 4, 3, 7, 2, 3, 3, 2, 2, 1, 0, 1, 2, 3, 2, 1, 2,
2,5, 2, 2, 4, 2, 2, 6, 0, 2, 5, 1, 2, 3, 1, 1, 1, 3, 0, 1, 3,
2,3, 1, 0, 3 1, 2, 1, 1, 0, 5, 6,1, 3, 5, 3
Answers to 2.1 to 2.4 Review1)
2) There are two outliers 24 and 25. First I multiplied the IQRby 1.5 to get 7.5. When I added it to Q3 and subtracted itfrom Q1, there were no numbers in my data set that wereabove Q3 + 7.5, or numbers below Q1 – 7.5.3) Both the mean and the standard deviation would double.4) The student should ask for the mean because it takesoutliers into account.
06.51
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42,3741emod22.39
2
31
n
xxdevstd
QQxn
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i
More answers to 2.1 to 2.4 Review
5. 6. The mean would decrease. The median and mode would stay the same.
Remaining Answers
8. 0.83 of 240, there is about 2 outliers.9. Min: 4.5 minutes; Q1: 40.5;Median:43.5; Q3: 46.5;Max: 67.5 10. About 22% 11. About the 60-63 category. The last 3 bars
add up to 10 so 230/240 = 95.8%12. The data is unimodal with a large gap between 5 and 33
minutes.
Bingo Review of 2.1 to 2.4Fill in your Bingo Cards!
A B C D E AlwaysTrue
Some-times True
Never True Yes No Stem-
and-Leaf
Histo-gram
Mean Median
IQR Variance Range Skewed Right
SkewedLeft
Uniform Symme-tric
Approx.Normal
Bimodal Categor-ical
Discrete Conti-nuous
Scatter-plot
Relative Frequency
Bingo Review 2.1 to 2.4 (Slide 1)
1. Mickey Mantle played with the New York Yankees from 1951 through 1968. He had the following number of home runs for those years: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. Were any of these years outliers?
2. What would be the best data display for this information?
Bingo Review 2.1 to 2.4 (Slide 2)3) Sometimes, Always or Never True: The total area under a density curve and above thehorizontal axis is 1.4) The following table gives the results of an experiment inwhich the ages of 525 pennies from current change wererecorded. "0" represents the current year, "1" represents pennies one year old, etc. Describe the shape of the data.
Bingo Review 2.1 to 2.4 (Slide 3)
5) The mean of a set of 150 values is 35, its median is 33, itsstandard deviation is 6, and its IQR is 12. A new set is
createdby first subtracting 10 from every term and then multiplyingby 5.
What other summary statistic, other than the standard deviation, is 5 times greater in the new data set?
6) 1
)( 2
n
xxi
Bingo Review 2.1 to 2.4 (Slide 4)
7) Sometimes, Always or Never TrueIf you added 25 to every value in the dataset, thestandard deviation will change.
8) What would be the shape of a histogram displaying the results of 1000 repetitions of the # of heads when flipping four coins at once ?
Bingo Review 2.1 to 2.4 (Slide 6)10) In a normal distribution curve mean, _____, and
mode are all represented by the same number.
11) Histograms are best for displaying what kind of numerical data?
Bingo Review 2.1 to 2.4 (Slide 7)12. A distribution of SAT Math scores for 130 students at asuburban high school provided the following statistics: Min.:485, Q1: 502, Median: 520, Q3: 544, Max.: 610, Mean: 535,Std. Dev.: 88. Which of the following is true?A. The distribution is skewed to the left and there are no
outliers.B. The distribution is skewed left and there is at lease one
outlier.C. The distribution is skewed to the right and there are
outliers.D.The distribution is skewed to the right and 65 students
scored better than 520.E. The distribution is skewed to the right and 65 students
scored better than 535.