Data Distribution Skew Bimodal Histogram Box Plot

Which of the following dot plots represents the distribution of the babies' weight that week.

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• 
• 
• 

Which conclusion can be best supported by the histograms?

• As boys get older, shoe sizes increase and the distribution remains relatively unchanged

• As boys get older, shoe size range, defined by the minimum and maximum decreases

• As boys get older, shoe sizes become normally distributed with fewer large outliers

• As boys get older, shoe size distribution become more spread with more large outliers.

Kasim and Dana both play basketball. The league has been keeping track of the points that individuals score during each game. In the first eight games of the season, Kasim has scored 12, 5, 8, 7, 14, 2, 3, and 5 points. Dana has scored 10, 12, 8, 10, 14, 13, 8, and 13 points. Box plots to represent their point totals are shown below. Which statement is an appropriate inference based on the shape and spread of each data set

• The mean absolute deviations of Kasim’s and Dana’s point totals are equal and their shapes of distribution are both symmetrical.

• The mean absolute deviation of Kasim’s point totals is less than Dana’s mean absolute deviation and Kasim’s’ shape of distribution is skewed more to the left than Dana’s point totals.

• The interquartile range of Dana’s point totals is more than Kasim’s point totals and Kasim’s shape of distribution is skewed more to the right than Dana’s point totals.

• The spread of Dana’s point totals has less variability than Kasim’s point totals and Kasim’s point totals are skewed left more than Dana’s point totals.

• The mean absolute deviation of Kasim’s point totals is more than Dana’s mean absolute deviation and Kasim’s’ shape of distribution is skewed more to the right than Dana’s point totals

What percentage of the data is between 90 and 140?

• 25 %

• 50%

• 75%

• 100%

What value is the lower quartile (Q1)?

• 66

• 58

• 60

• 64

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8

Which box and whisker plot has the SMALLEST lower quartile (Q1)?

• Top plot

• Bottom plot

Which box and whisker plot shows more "spread out" data?

• Top plot

• Bottom plot

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

Which statement correctly describes the shapes of the dot plots for cars and SUVs?

• SUVs: symmetrical
  Cars: skewed left

• Both are skewed left

• Both are symmetrical

• SUVs: skewed right
  Cars: Skewed left