Calculate the median 5,10,12,4,6,11,13,5

1 answer:

8 0

For this case, we have by definition that, the median of a set of numbers is the average number in the set, after the numbers have been ordered from lowest to highest. If there is an even number in the set, the median is the average of the two middle numbers.

So, the given set is:

{4,5,5,6,10,11,12,13}

Since there are 8 numbers, the set is even. Then we find the average of the two numbers in the middle:

$\frac {6 + 10} {2} = \frac {16} {2} = 8$

The median is 8

ANswer:

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Rachael got a 550 on the analytical portion of the Graduate Record Exam (GRE). If GRE scores are normally distributed and have m

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Answer:

Z=-2

This value means that the score of Rachel 550 it's 2 deviations below the mean of the population $\mu=600$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

$\mu=600$ represent the population mean for the Graduate Record Exam (GRE)

$\sigma=25$ represent the population standard deviation for Graduate Record Exam (GRE)

2) Solution to the problem

Let X the random variable that represent the Graduate Record Exam (GRE) of a population, and for this case we know the distribution for X is given by:

$X \sim N(600,25)$