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.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
pie chart graph
Yes.
You need to use a table of standard scores.
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.
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It is impossible to determine the percentiles if you are given only the sample mean since percentiles are a measure of the spread of the data; the mean gives no information on that.
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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
pie chart graph
Percentiles or parts of a whole.
Yes.
You need to use a table of standard scores.
Your question can not be answered. A tally of all scores in the class is necessary. These are then ranked (lowest to highest), and the percentiles identified. For more information, I suggest you look at percentiles under wikipedia.
Ranking of data allows calculation of ranges and percentiles. Quick estimation of correlation coefficient is possible (Spearman's method). Certain graphical displays of data, such as box and whiskers plots use percentiles.
The traits used to calculate percentiles for infant weight charts will include length, sex, age, stature, and other physical characteristics deemed important by the chart users.