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Q. How to calculate Percentiles?
Ans.
In a large group of standardized test scores we expect the scores to approximate a normal curve. If all scores are translated to z-scores, then given a z-score, we are be able to determine the approximate percentage of people who scored either above or below this z-score. This is called a percentile. For example, if a student scores in the 84th percentile, this means that 84% of those taking the test scored lower than the student (and about 16% had higher scores).
If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?. Ans: Cos? + Sin? = √2 Cos? ⇒ ( Cos? + Sin?) 2 = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒
Statistical inference This is the process of drawing conclusions about attributes of a population based upon information contained in a sample or taken from the population.
Given f ( x ) = 3x - 2 determine f -1 ( x ) . Solution Now, already we know what the inverse to this function is as already we've done some work with it. Though, it
Divide 6.8 × 10 5 by 2.0 × 10 2 . Write your answer in scientific notation? To divide numbers written in scienti?c notation and divide the ?rst numbers (6.8 ÷ 2.0 = 3.4); the
If Var(x) = 4, find Var (3x+8), where X is a random variable. Var (ax+b) = a 2 Var x Var (3x+8) = 3 2 Var x = 36
Standardization of Variables - Before we use the general distribution curve to determine probabilities of the continuous variables, we require standardizing the original units
What is 124 out of 300 in percent ?
-2+-9
how to divide an arc in three equal parts
Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
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