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In this lesson, we will learn how to find the median and upper and lower quartiles of a data set.

Q1:

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

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.

Q3:

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.

Q4:

A set of data’s minimum is 3.44, its lower quartile is 7.42, its median is 7.74, its upper quartile is 14.02, and its maximum is 17.74. Between which two values does the middle 5 0 % of the data lie?

Q5:

The table shows the capacities of 6 sports stadiums around the world. Describe how the lower quartile will be affected if Emirates Stadium, London, United Kingdom, which has a capacity of 60,338, is included in the data.

Q6:

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.

Q7:

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.

Q8:

Karim’s history test scores are 74, 96, 85, 90, 71, and 98. Determine the upper and lower quartiles of his scores.

Q9:

Sameh’s scores in a card game were 4, , , , , 7, and 0. Determine the lower quartile and upper quartile of his scores.

Q10:

Select the pair of data sets which have the same median and quartiles, but different ranges.

Q11:

The table shows the savings of a group of 8 children. Determine the lower and upper quartiles of the data.

Q12:

The table shows the number of students who partake in different physical activities. Find the lower and upper quartiles of the data.

Q13:

The table shows DVD prices in dollars at various shops. What are the lower and upper quartiles of the data?

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