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 October 24th, 2015, 12:13 PM #1 Newbie   Joined: Oct 2015 From: Slovakia Posts: 1 Thanks: 0 Should I use interpolation or approximation here? I am a S1 maths (Edexcel) AS student in the UK. My question: Say we have a stem-and-leaf diagram with 26 values. We want to find the lower quartile. To get the marks for our specification, we need to find the [(n+1)/2]th value. This is the 6.75th value. So I use interpolation to find the said value: 6th value + (0.75*difference between 7th and 6th values)=value of the lower quartile. But my S1 textbook says you should round 6.75 to 7 and just give the 7th value as the answer. So: Should I use interpolation or approximation????? Thanks! October 25th, 2015, 02:54 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,926 Thanks: 2205 Interpolation that involves 1/4 or 3/4 is usually regarded as "too complicated" (although some authors use it). In the following definitions, m is the number of values and is at least 2, n is the integer part of m/4, and the values are prearranged in non-descending order. If m = 4n or m = 4n+1, the first and third quartiles are usually defined as the (n + 1/2)th value and the (m - n + 1/2)th value respectively. If m = 4n+2 or m = 4n+3, the first and third quartiles are usually defined as the (n + 1)th value and the (m - n)th value respectively. In all four of the above cases, there are n values that precede the first quartile and n values that are preceded by the third quartile. Tags approximation, interpolation, statistics Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post genz Applied Math 0 May 1st, 2013 10:14 PM Zillion Calculus 0 April 17th, 2013 09:44 AM theSultan Applied Math 2 October 3rd, 2012 03:16 PM Sovereignx Abstract Algebra 0 April 12th, 2010 04:09 AM Reuel Applied Math 1 April 2nd, 2010 11:44 PM

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