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Consider the following five-point summary for a variable that was obtained using 200 observations. Minimum Q1 Median Q3 Maximum 34 54 66 78 98 a-1.

Consider the following five-point summary for a variable that was obtained using 200 observations.

Minimum Q1 Median Q3 Maximum
34 54 66 78 98

a-1. Interpret Q1. multiple choice 1

  • Eighty percent of the observations are less than 54, 20% of the observations are greater than 54.
  • Seventy-five percent of the observations are less than 54, 25% of the observations are greater than 54.
  • Twenty percent of the observations are less than 54, 80% of the observations are greater than 54.
  • Twenty-five percent of the observations are less than 54, 75% of the observations are greater than 54. a-2. Interpret Q3. multiple choice 2
  • Eighty percent of the observations are less than 78, 20% of the observations are greater than 78.
  • Seventy-five percent of the observations are less than 78, 25% of the observations are greater than 78.
  • Twenty percent of the observations are less than 78, 80% of the observations are greater than 78.
  • Twenty-five percent of the observations are less than 78, 75% of the observations are greater than 78. b-1. Calculate the interquartile range

c. Is the distribution relatively symmetric? If not, comment on its skewness. multiple choice 4

  • The distribution is symmetric.
  • The distribution is positively skewed.
  • The distribution is negatively skewed.
  • Symmetry or skewness cannot be determined with the available information

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