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Lesson: Finding the Quartiles of a Data Set

The first quartile of a data set is the middle number between its median and lowest value, the second is the same as its median, and the third is the middle number between its median and highest value. Learn how to find the median and upper and lower quartiles of a data set.

Worksheet: Finding the Quartiles of a Data Set • 15 Questions

Q1:

Determine the median and quartiles of the following set of data: 56, 55, 90, 50, 41, 84, 68, 75, 92, 50, and 71.

  • AThe median is 71, and the quartiles are 55 and 90.
  • BThe median is 68, and the quartiles are 50 and 84.
  • CThe median is 69.5, and the quartiles are 50 and 84.
  • DThe median is 68, and the quartiles are 52.5 and 79.5.

Q2:

Determine the median and quartiles of the following set of data: 1.8, 1.6, 1.1, 2.4, 0.6, 1.3, 2.9, 1.5, 0.4, 1.9, 2.9.

  • AThe median is 1.8, and the quartiles are 1.1 and 2.4.
  • BThe median is 1.6, and the quartiles are 1.1 and 2.4.
  • CThe median is 1.6, and the quartiles are 1.3 and 2.9.
  • DThe median is 1.6, and the quartiles are 0.6 and 1.9.

Q3:

Determine the median and quartiles of the following set of data: 1 350, 1 400, 1 250, 1 050, 1 450, 1 150, 1 000.

  • AThe median is
    1 350
    , and the quartiles are
    1 050
    and
    1 400
    .
  • BThe median is
    1 250
    , and the quartiles are
    1 050
    and
    1 400
    .
  • CThe median is
    1 250
    , and the quartiles are
    1 100
    and
    1 375
    .
  • DThe median is
    1 250
    , and the quartiles are
    1 150
    and
    1 350
    .

Q4:

Determine the upper and the lower quartiles of the following set of data: 114, 103, 50, 52, 95, 103, 93, 53, 65, 57, 52, 89, 111, 89, and 96.

  • Alower quartile , upper quartile
  • Blower quartile , upper quartile
  • Clower quartile , upper quartile
  • Dlower quartile , upper quartile
  • Elower quartile , upper quartile

Q5:

Determine the upper and the lower quartiles of the following set of data: 19.4, 42.1, 56.1, 27.5, 5.3, 49.9, 48.8, 44.3, 13.1, 15.4, 20.1, 4.1, 38.1, 33.8, and 41.5.

  • Alower quartile = 4.1, upper quartile = 44.3
  • Blower quartile = 33.8, upper quartile = 44.3
  • Clower quartile = 15.4, upper quartile = 44.3
  • Dlower quartile = 15.4, upper quartile = 33.8
  • Elower quartile = 4.1, upper quartile = 33.8
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