Prob and Stat review module 1

Variables: height, favorite color, zip code, minutes spent on phone

Which ones are categorical?

• favorite color

• favorite color and zip code

• height and minutes spent on phone

• height, minutes spent on phone and zip code

You survey 1000 people about the minutes they spend on their phones daily. Which would be the best type of graph to display this data and why?

• Bar graph, the data is quantitative.

• Pie chart to see percent compared to the whole.

• Stem and leaf plot since there's a large amount of quantitative data.

• Histogram since there's a large amount of quantitative data.

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Which two types of graph are appropriate for displaying categorical data?

• stem plots and histograms

• pie charts and histograms

• bar graphs and pie charts

• bar graphs and stem plots

Describe the shape of the histogram.

• Skew right

• Skew left

• approximately symmetrical

• normal

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Describe the shape of both sets of data.

• They are both skew left

• They are both skew right

• Before is skew left and after is skew right

• Before is roughly symmetrical and after is skew left.

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Describe the shape and whether there are any outliers.

• skew right and unimodal

  outlier at 11

• skew left and unimodal

  outlier at 11

• skew right and bimodal

  outlier at 7 and 11

• skew left and bimodal

  no outliers

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CCSS.HSS.ID.A.3

Which measure of center and spread should you use if asked to describe this data?

• Center: mean

  Spread: standard deviation

• Center: mean

  Spread: range

• Center: median

  Spread: standard deviation

• Center: median

  Spread: IQR

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CCSS.HSS.ID.A.2

If you were to remove the six outliers in this graph, what would happen to the mean and median?

• The mean would stay the same

  The median would decrease.

• The mean would stay the same

  The median would increase

• The mean would increase

  The median would stay the same

• The mean would decrease

  The median would stay the same

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The weights of 100 pugs were taken. The five number summary of the set of data is 12 15 20 23 30

The mean of the data is 22 and the standard deviation is 4.

If the scale was off and 5 pounds needed to be added to the weight of every pug, what would the new mean, median, standard deviation and IQR equal?

• new mean=27

  new median=25

  new SD=9

  new IQR=13

• new mean=27

  new median=25

  new SD=4

  new IQR=8

• new mean=22

  new median=20

  new SD=9

  new IQR=13

• nothing changes

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CCSS.HSS.ID.A.2

The weights of 100 pugs were taken. The five number summary of the set of data is 12 15 20 23 30

What range of weights would be considered outliers?

• Below 8 and above 32

• Below 3 and above 35

• Between 8 and 32

• Below 12 and above 30

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CCSS.HSS.ID.A.3