Chapter 3 Formulas and Vocabulary

• Mean (p. 108)
• Measure of center (p. 108)
• Median (p. 112)
• Mode (p. 114)
• Population mean (p. 109). .
• Population size (p. 109). Denoted by .
• Sample mean (p. 109). .
• Sample size (p. 109). Denoted by .

• Chebyshev's rule (p. 138). The proportion of values from a data set that will fall within standard deviations of the mean will be at least , where .
• Deviation (p. 128). .
• Empirical rule (p. 136). If the data distribution is bell-shaped:
  • About 68% of the data values will fall within 1 standard deviation of the mean.
  • About 95% of the data values will fall within 2 standard deviations of the mean.
  • About 99.7% of the data values will fall within 3 standard deviations of the mean.
• Measure of variability (measure of spread, measure of dispersion) (p. 127)
• Population standard deviation (p. 132).
  

• Population variance (p. 130).
  

• Range (p. 127)
• Sample standard deviation (p. 133).
  

  183

• Sample variance (p. 133).
  

• Standard deviation (p. 128)

• Estimated mean for data grouped into a frequency distribution (p. 150).
  

• Estimated standard deviation for data grouped into a frequency distribution (p. 151).
  

• Estimated variance for data grouped into a frequency distribution (p. 151).
  

• Weighted mean (p. 151).
  

• Finding a data value given its -score (p. 157)
  

• interquartile range (IQR) (p. 166).
  

• outlier (p. 158)
• percentile (p. 159)
• Percentile rank (p. 161)
• Quartiles (p. 162)
• -Score (p. 155)
  1. Sample:
     

  2. Population:
     

• boxplot (p. 173)
• five-number summary (p. 172)
• IQR method of detecting outliers (p. 177)