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1
Center Center and and
SpreadSpread
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GraphsGraphs
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Categorical Categorical DataData
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Discussing Discussing DistributionDistribution
ss
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Misc.Misc.
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End Game
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Median and IQR Median and IQR because the data is because the data is
skewed. skewed.
Min = 3, Q1 = 35, M Min = 3, Q1 = 35, M = 47, Q3 = 65, Max = 47, Q3 = 65, Max
= 157= 157
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Because the data is Because the data is skewed to the right skewed to the right
the mean will be the mean will be pulled towards the pulled towards the
larger values.larger values.
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Data of this kind can Data of this kind can be displayed using be displayed using
pie charts, bar pie charts, bar charts, or charts, or
segmented bar segmented bar chartscharts
Check Answer
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Of the three different age Of the three different age groups, 15 - 18 year olds have groups, 15 - 18 year olds have
the largest percentage of the largest percentage of people who like the band. 19 - people who like the band. 19 - 22 year olds have the largest 22 year olds have the largest percentage who dislike the percentage who dislike the
band. A larger percentage of 19 band. A larger percentage of 19 - 22 year olds are certain about - 22 year olds are certain about their feelings than in the other their feelings than in the other
two age groups.two age groups.
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Monsters, Inc. has the largest percentage of moviegoers who prefer pepperoni pizza and the smallest percentage who enjoy meatball pizza. The Big Lebowski is the opposite of this with most people preferring meatball pizza and the fewest people preferring pepperoni pizza. While the majority of Men In Black viewers prefer pepperoni, the percentage is not as large as with Monsters, Inc.
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1 - Virginia1 - Virginia
2 - Massachutes2 - Massachutes
3 / 4 - New York / 3 / 4 - New York / South CarolinaSouth Carolina
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The distribution of file sizes is skewed to the right with a median of approximately 2.5 megabytes. There are two gaps in the data, from 3 to approximately 4.5 an from about 6.2 to 7.5. The IQR is approximately 3 megabytes. There are no outliers.
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The distribution of the angle of deformity is skewed to the right with a large gap between 40 and 50 degrees. The median is 25 degrees and the IQR is approximately 10 degrees. The 50 degree angle of deformity is an outlier.
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The distribution of words recalled from rap music has a larger range than classical music, but it also has more outliers. The interquartile range of the rap music is smaller than the IQR of the classical music. The number of words recalled from rap music appears to have a roughly symmetrical distribution while classical music is skewed to the right. The median number of words recalled from classical music is less than the median number of words recalled from rap music.
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Check Answer
The units for The units for standard deviation standard deviation
are inches. The are inches. The units for variance units for variance
are:are: