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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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