How is the interquartile range calculated?
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1 Answer

 

A frequency table and graph are summaries of the results of an activity. You can use these tables or graphs to discover or estimate the:

  • mode;
  • median;
  • mean;
  • quartiles; and
  • inter-quartile range.

These are the results from 20 rolls of a die. Fill in the key summary statistics for this data once you have made the calculation

 

 
Die result Frequency
1 1
2 5
3 4
4 4
5 3
6 3
  Total = 20

 

Mode = ?

Mean = ?

Lower quartile = ?

Median = ?

Upper quartile = ?

Interquartile range = ?

Possible answers

Which score occurs most often? The mode = 2.

Add up all the values and divide by 20 (the number of rolls of the die). Mean = 3.6.

Which score has 25% of the results below it? Lower quartile = 2.

Which score is the middle value? For 20 scores the middle value is between the tenth and eleventh score in order from the lowest to highest. Median = 3.5.

Which score has 75% of the results below it? Upper quartile = 5.

What is the difference between the upper and lower quartiles? Interquartile range = 3.

 

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