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"If you interpolate from the values around it, you can find the value of X in this equation." "To interpolate the value, compare it to known values."
If you have 2n scores, then Q1 = (2n+1)/4 Q3 = 3*Q1 In both cases, depending on your level, you take the nearest integer to Q1 and Q3, or you interpolate. If you do not know what interpolate means then you are probably not yet at the necessary level! and IQR = Q3 - Q1
interpolation is basically following a trend. it is needed because one cannot always get enough data to get to where u want to go. GPS units "interpolate" when they loose satellite reception which is why they appear to be tracking in tunnels.
Simple answer:Divide the total number of observations (plus 1, if small) by 2 to find the middle rank.Look at the cumulative frequencies for the grouped data and find the group in which the middle rank would appear. That is the median group.More sophisticated answer:Withing the median group, interpolate.
Order the observations. Find the values of the observation that is a quarter of the way and three quarters of the way along the list of these ordered values. If necessary, interpolate between the values. The difference between the two values is the inter-quartile range and half that is the semi- IQR, as required.