Mathematics
Grade6
Easy

Question

Find data value in the upper quartile

  1. 64.5
  2. 62
  3. 66
  4. 58

Hint:

The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order. The median is considered the second quartile (Q2). The interquartile range is the difference between upper and lower quartiles.

The correct answer is: 64.5


    The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.
    Formula for calculating upper quartile =
    3 over 4 left parenthesis n plus 1 right parenthesis
H e r e comma space n space equals space 9 space left parenthesis t o t a l space n u m b e r space o f space d a t a right parenthesis
T h u s comma space 3 over 4 left parenthesis 9 plus 1 right parenthesis space equals space 3 over 4 cross times 10 space equals space 7.5
T h e space 7 t h space a n d space 8 t h space n u m b e r space i n space t h e space d a t a space s e t space a r e space 64 space a n d space 65
U p p e r space q u a r t i l e space equals space fraction numerator 64 plus 65 over denominator 2 end fraction equals space 64.5

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