Grouping and Displaying data to convey meaning

At a newspaper office, the time required to set the entire front page in type was recorded for 50 days. The data, to the nearest tenth of a minute, are given below.

20.822.821.922.020.720.925.022.222.820.1
25.320.722.521.223.823.320.922.923.519.5
23.720.323.619.025.125.019.524.124.221.8
21.321.523.119.924.224.119.823.922.823.9
19.724.223.820.723.824.321.120.921.622.7
  1. Arrange the data in an array from lowest to highest.
  2. Construct a frequency distribution and a “less-than” cumulative frequency distribution from the data, using intervals of 0.8 minute.
  3. Construct a frequency polygon from the data.
  4. Construct a “less-than” ogive from the data.
  5. From your ogive, estimate what percentage of the time the front page can be set in less than 24 minutes.

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