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Arrange the data in increasing order and count the number of data points = N.
Find the integer K = N/2 or (N+1)/2.
The Kth number in the ordered set is the median.
Now consider only the numbers from the smallest to the median and find the median of this subset. This is the lower quartile = Q1.
Then consider only the numbers from the original median to the largest. Find the median of this subset. It is the upper quartile = Q3.
Then IQR = Q3 - Q1
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How do you find the interquartile range of a data?
The Inter-quartile range is the range of the middle half of the data. It is the difference between the upper and lower quartile.Example: 35,80,100 110,120,120,170,180.The Inter-quartile range would be 145-90 or 55To find the interquartile range, you:1) Arrange the data in numerical order.2) Then find the median of the data sets.3) Find the median of the top half and bottom half. (of the set of numbers)4) The groups you now have are "quartiles"5) Find the interquartile range. (subtract the smaller range from the range)
Can interquartile range be used for any data eg data below the lower quartile to find if the data is spread out or close together or must we use the lower quartile for data below the lower quartile?
No, interquartile range cannot be for any data. The lower quartile for data must be used below the lower quartile.
How does the interquartile range reflect data?
It gives a better picture of data collected because the data is not so spread out.
Data that is more than 1.5 times the interquartile range from the quartiles?
Outliers
What is a measure of the spread of a set of data?
The standard deviation is the value most used. Others are variance, interquartile range, or range.
