Mathematics

Question

What is the first quartile (Q1) of the data set? 51, 42, 46, 53, 66, 70, 90, 70
80
59.5
61
48.5

1 Answer

  • Values in increasing order 
    42 
    46 
    51 
    53 
    66 
    70 
    70 
    90 


    Lower quartile : There are 8 observations 
    If there are in observations, compute the lower quartile as follows: 
    if n/4 is an integer, compute the lower quartile as 
    (x[n/4]+x[n/4+1])/2 :: (x[8/ 4]+x[8 /4 +1])/2 
    if n/4 is not an integer, compute the lower quartile as 
    x[k], where k is the smallest integer exceeding n/4:: 2 = 2 
    Lower Quartile : Average of observations 2 and 3 is -- 
    = (46+51)/2 = 48
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