The 50th percentile is average. The 5th is way below and the 95th is way above.
The 5th and 95th percentiles are the lines that set of the "edges of the curve" in a distribution over a bell curve. If you draw the bell, and mark the 5th and 95th percentile spots, those marks separate the bulk of the curve from its edges. The 5th percentile sets off the bottom edge and the 95th percentile sets off the top edge of the curve.Chat with our AI personalities
The 5th percentile is the value such that 5% of the population are below it. Similarly 50% or half the population lies below the 50th percentile.
The 5th percentile of a standard normal distribution is -1.645 (from the normal probability table). z = (x - μ) / σ -1.645 = (x-98.2) / .62 (0.62)(-1.645) = x-98.2 -1.0199 = x-98.2 x = 98.2-1.0199 = 97.1801 The 5th percentile is 97.18 The 95th percentile of a standard normal distribution is 1.645 (from the normal probability table). z = (x - μ) / σ 1.645 = (x-98.2) / .62 (0.62)(1.645) = x-98.2 1.0199 = x-98.2 x = 98.2+1.0199 = 99.2199 The 95th percentile is 99.22
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You need to use a table of standard scores.
Yes.