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If you are willing to assume the data are normally distributed or approximately so, then the inter-quartile range (IQR), which is defined as Q3 − Q1, is equal to SD × 1.35 and mean = median.
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Calculation of quartile Q3 can be done as follows, Q3 = ¾ (n+1)th term = ¾ (26) Q3 will be – Q3 = 19.50 Term Here, the average needs to be taken, which is of 19th and 20th terms, which are 77 and 77. The average of the same is
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The upper quartile, Q3, is defined similarly as the value such that a quarter of the observations are larger. The interquartile range, is the distance between these two: IQR = Q3 -
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