AP Review. Exploring Data. Describing a Distribution. Discuss center, shape, and spread in context. Center: Mean or Median Shape: Roughly Symmetrical, Right or Left Skewed Spread: Standard Deviation, IQR, Range, or Spread. Checking for Outliers.
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Discuss center, shape, and spread in context.
Center: Mean or Median
Shape: Roughly Symmetrical, Right or Left Skewed
Spread: Standard Deviation, IQR, Range, or Spread
A survey was conducted to gather ratings of the quality of service at local restaurants at a nearby mall. Respondents were to rate overall service using values between 0 (terrible) and 100 (excellent). The five number summary is 32, 47.5, 51, 63.5, 92. The data values above Q3 are 65, 66, 70, 71, and 92. Are there outliers on the high end?
Outliers > Q3 + 1.5(IQR)
Outliers > 63.5 + 1.5 (63.5 – 47.5)
Outliers > 87.5
Therefore, 92 is an outlier.
Mean, s, range
I. An average with a z-score of –1
II. An average with a percentile rank of 20%.
III. An average at the first quartile, Q1.
I, II, III
Create a scatterplot
Calculate the equation of the regression line
Plot the residuals
A residual is the observed y – predicted y.
P. 370 #13, 14, 16, 19, 21, 24, 27, 30, 38
P. 430 #2