Math  /  Data & Statistics

QuestionThe scores for 20 students on a 50 -point math test are 49,50,37,44,27,47,43,35,41,31,42,40,38,45,39,33,46,36,3249,50,37,44,27,47,43,35,41,31,42,40,38,45,39,33,46,36,32 and 48 .
Part: 0/30 / 3
Part 1 of 3 (a) Find the percentile rank for a score of 31.
A test score of 31 is equivalent to the \square percentile.

Studdy Solution
Calculate the percentile rank using the formula:
Percentile Rank=(Number of scores less than or equal to 31Total number of scores)×100\text{Percentile Rank} = \left( \frac{\text{Number of scores less than or equal to 31}}{\text{Total number of scores}} \right) \times 100
Substitute the values:
Percentile Rank=(220)×100=10\text{Percentile Rank} = \left( \frac{2}{20} \right) \times 100 = 10
A test score of 31 is equivalent to the 10 \boxed{10} percentile.

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