Mathematics, 30.06.2019 09:10 barstr9146

The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. find the variance and standard deviation. round to the nearest hundredth.
(explain work)

Answers: 1

Show answers

Answers

Answer from: villanuevajose95

variance = 8,732.24standar deviation = 93.45

Explanation:

In order to calculate the variance and standard deviation of a set of data, you first must calculate the mean.

Mean = average = μ = ∑ values / (number of data)

Hence, the mean of our data set is:

mean = μ = [ 3,832 + 3,779 + 3,655 + 3,642 + 3,579] / 5 = 18,487 / 5 = 3,697.4

Now you can calcuate the variance using the formula.

For a data set (which is all your population and not a sample) the formula is:

Variance = ∑ (value - μ)² / (number of data)

That is:

Variance = [ (3,832 - 3,697.4)² + (3,779 - 3,697.4)² + (3,655 - 3,697.4)² + (3,642 - 3,697.4)² + (3,579 - 3,697.4)² ] / 5 Variance = 8,732.24 (rounded to the nearest hundreth)

The standard deviation, S.D., is the square root of the variance:

$S.D.=\sqrt{8,732.24}=93.45$ (rounded to the nearest hundresth)

Answer from: xXwolfieplayzXx

Variance = 8732.24 and standard deviation = 93.45

Step-by-step explanation:

We have to calculate the variance and standard deviation of the data set

3,832, 3,779, 3,655, 3,642, 3,579

First we calculate the mean of the data

Mean = $\frac{(3,832+3,779+3,655+3,642+3,579)}{5}$

= $\frac{18487}{5}$

= 3697.4

Now we calculate the variance by subtracting the mean from value of data set and square it.

3832 - 3697.4 = 134.6² = 18,117.16

3779 - 3697.4 = 81.6² = 6,658.56

3655 - 3697.4 = -42.4² = 1,797.76

3642 - 3697.4 = -55.4 = 3069.16

3579 - 3697.4 = -118.4 = 14,018.56

Add up the squared result and take the mean

= $\frac{(18117.16+6658.56+1797.76+3069.16+14018.56)}{5}$

= $\frac{43661.2}{5}$

Variance = 8732.24

To calculate standard deviation, we take the square root of the variance = $\sqrt{8732.24}$

Standard deviation = 93.44645526 ≈ 93.45

Variance = 8732.24 and standard deviation = 93.45

Answer from: Quest

The unit price is 0.99

Answer from: Quest

depending on others is critical to survival. my source is apex!

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:30, leobaut6145

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Answers: 1

continue

Mathematics, 21.06.2019 18:30, starlightmoon213

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

Answers: 3

continue

Mathematics, 21.06.2019 21:30, pstat

For the inequality |c| < |d| to be true, which of the following must be true?

Answers: 2

continue

Mathematics, 21.06.2019 23:00, ReveenatheRaven2296

The distance between two points is 6.5cm and scale of map is 1: 1000 what's the distance between the two points