How do you construct a histogram using the data 12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41?

1 Answer
Alex Boroda
Jun 7, 2015

We have the data set #(12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41)#.

1) Transform it into an ordered data set: #(12, 13, 21, 27, 33, 34, 35, 37, 40, 40, 41)#

2) The data points range from #12# to #41#. This gives us a data spread of #30#.

3) Split this data range into convenient equal intervals: for example, we can use 6 intervals with the interval step of 5:

  • interval 1: from #12# to #16#
  • interval 2: from #17# to #21#
  • interval 3: from #22# to #26#
  • interval 4: from #27# to #31#
  • interval 5: from #32# to #36#
  • interval 6: from #37# to #41#

4) Build the frequency table for the intervals 1-6:

  1. Number of data points within interval 1: #2#
  2. Number of data points within interval 2: #1#
  3. Number of data points within interval 3: #0#
  4. Number of data points within interval 4: #1#
  5. Number of data points within interval 5: #3#
  6. Number of data points within interval 6: #4#

5) Get the histogram from the frequency table by using a column chart type. Data values will be represented on the x-axis and the frequencies on the y-axis.

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