A population of N = 100 scores has μ 50 and σ = 4 what is the population variance

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A sample of $n=36$ scores is selected from a normal distribution with a mean of $\mu=65 .$ If the sample mean is $M=59$, then compute the $z$ -score for the sample mean and determine whether the sample mean is a typical, representative value or an extreme value for each of the following: a. A population standard deviation of $\sigma=12$ b. A population standard deviation of $\sigma=30$

Remember that variance is standard deviation squared:

variance = s2

and by the same equation, the standard deviation is the square root of variance:

√variance = √s2 = s

So in the first one, you were given the standard deviation, s=4.

You want to find variance. Well, since

variance =s2

v = (4)2

v = 16

That's the variance.

For the second one, can I assume that s2 = 9? so in other words, the variance is 9. To find the standard dev, s, just take the square root:

√s2 = s

√9 = s

3 = s

Math

Lia H.

asked • 10/08/18

A population of N = 100 scores has µ = 30 and σ = 4. What is the population variance?

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A population of N = 100 scores has μ 50 and σ = 4 what is the population variance

Andy C. answered • 10/08/18

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the standard deviation is the square root of the variance

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Terms in this set (168)

Which set of scores has the smallest standard deviation?

a)
27, 105, 10, 80

b)
5, 11, 42, 22

c)
11, 17, 31, 53

d)
145, 143, 145, 147

An exam has a mean of M = 74 and a standard deviation of s = 8. Mary has a score of X = 80, Bob's score corresponds to z = +1.50, and Sue's score is located above the mean by 10 points.

If the students are placed in order from smallest score to largest score, what is the correct order?

a)
Mary, Sue, Bob

b)
Bob, Mary, Sue

c)
Sue, Bob, Mary

d)
Mary, Bob, Sue

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What is the variance for the following population of scores scores 5 2 5 4?

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