The score at 35th percentile is 469.6 marks according to standard deviation and mean.
What is standard deviation?
Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis
Main body:
Given:
mean of μ = 500 and standard deviation of σ = 80
To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:
We can then plug this value into the percentile formula:
Percentile Value = μ + zσ
35th percentile = 500 + (-0.38)*80
35th percentile = 469.6
the score at the 15th percentile weighs about 469.6 marks.
Hence marks at 35th percentile is 469.6
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