# Interquartile range - How to find interquartile range

Cross out values until you find the centermost point The median of the odd valued data set is four..

If there is no data point at 12, then the highest point less than 12.

Description: Find the median of the lower portion.

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The third quartile is the value in the data that separates the bottom 75% of the values from the top 25% Here is a histogram of the age of all 934 Nobel Prize winners up to the year 2020, showing the interquartile range IQR : Here, the middle half of is between 51 and 69 years.
This has two to the left and it has two to the right.
Let's learn about the range formula with a few solved examples.

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In descriptive statistics, the interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution thatโs ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.
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Boxplot (with an interquartile range) and a probability density function (pdf) of a Normal N (0,ฯ2) Population. In descriptive statistics, the interquartile range ( IQR) is a measure of [ [statistical dispersion], which is the spread of the data. The IQR may also be called the midspread, middle 50%, or Hโspread.
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The Interquartile range, or IQR, is defined as the . The first step is the find the median of the data set, which in this case is . This number is what cuts the data set into two smaller sets, an upper quartile and lower quartile.
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Interquartile Range = Q3-Q1 With an Even Sample Size: For the sample (n=10) the median diastolic blood pressure is 71 (50% of the values are above 71, and 50% are below). The quartiles can be determined in the same way we determined the median, except we consider each half of the data set separately.