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Other measures of location

Measures of Location
  • Maximum
  • Minimum
  • Quartiles
  • Percentiles
  • Deciles
Finding Medians and Quartiles
  • \(Q_{1}=\frac{n}{4}\) (lower quartile)
  • \(Q_{2}=\frac{n}{2}\) (median)
  • \(Q_{3}=\frac{3n}{4}\) (upper quartile)
Linear Interpolation equation
  • \(\frac{median - \text{Lower data bound}}{\text{upper data bound - lower data bound}}=\frac{\text{median position}-\text{lower frequency bound}}{\text{upper frequency bound}-\text{lower frequency bound}}\)

Exercise 2C
  1. 16 bits of data means the median is the 8.5th place. This means that the median would be 1020. The lower quartile would 1017. The upper quartile would be 1024.5.
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