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The examination scores (out of 100 percent) for a class are shown below. 68 77 91 66 52 58 79 94 81 60 73 57

The examination scores (out of 100 percent) for a class are shown below.

68 77 91 66 52 58 79 94 81 60 73 57 44 58

71 78 80 54 87 43 61 90 41 76 55 75 49

  1. Identify the variable, specific type and sub-type of the variable.
  2. Create a five-number summary of the data. Comment on what each of the values represents based on the class achievement.
  3. Create both a regular and modified box-and-whiskers plot of the data.Are there any outliers? Comment on the results.
  4. Calculate the range of the data. Use the range of the data to determine an appropriate bin width that will divide the data into 7 intervals.
  5. Create a frequency, cumulative frequency and relative frequency table for the data; use one table and labels the columns accordingly.
  6. Create a histogram and line graph of the data on the same graph.
  7. Estimate the 80th percentile of the data. What does it represent?
  8. Juan scored in the 90th percentile. Estimate Juan's grade.

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