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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

Q: What is the fifth and 9fifth percentiles of a mean temperature of 98.2 and the standard deviation is 0.62?

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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.

Suppose we were considering the heights of all 18-year-old women in a certain European city. We might put the heights in a (long) list and sort them from smallest to largest. Let's suppose that there were exactly 500 women on the list. 5% of them would be 25. The height of the woman at position 25 from the top would be called the 25th percentile. 95% would be 475, and the height of the woman at position 475 would be called the 95th percentile. Then we might say that the 5th to the 95th percentile would include all the women from position 25 through position 475.

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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.

Suppose we were considering the heights of all 18-year-old women in a certain European city. We might put the heights in a (long) list and sort them from smallest to largest. Let's suppose that there were exactly 500 women on the list. 5% of them would be 25. The height of the woman at position 25 from the top would be called the 25th percentile. 95% would be 475, and the height of the woman at position 475 would be called the 95th percentile. Then we might say that the 5th to the 95th percentile would include all the women from position 25 through position 475.