How do I calculate the variance and standard deviation of

Connor Randall 2022-01-28 Answered
How do I calculate the variance and standard deviation of 102, 104, 106, 108, 110?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

cevarnamvu
Answered 2022-01-29 Author has 12 answers
Explanation:
To find the variance, you must find "the average of the squared distances from the mean." What this means is that to find the variance, you individually subtract the mean from each data point, square the result, then add all the answers together and divide them by how many answer there were.
To do this we must first find the mean. We do this by adding all the numbers of the data set together, then dividing them by how many numbers there were, so:
102+104+106+108+1105
=5305
=106 is the mean.
Next we find the variance as mentioned above. The process is as follows: Select a value from the data set (102), subtract the mean from it (102-106=-4), then square the result (42=16). We do this for the rest of the numbers, to get
(104106)2=(2)2=4,
(106106)2=02=0,
(108106)2(2)2=4,
(110106)2=(4)2=16.
The last thing to do is to add these results together, then divide them by how many there are, like so:
16+4+0+4+165
=405
=8, the variance.
To find the standard deviation, we simply take the square root of the variance, so:
82.828, therefore the standard deviation is roughly equal to 2.828.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-21

We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 192 had kids. Based on this, plot a 99% confidence interval for the proportion of adult residents who are parents in a given county.
Express your answer in the form of three inequalities. Give your answers in decimal fractions up to three places <p< Express the same answer using a point estimate and a margin of error. Give your answers as decimals, to three places.
p=±

asked 2021-03-18

A population of values has a normal distribution with μ=133.5 and σ=5.2. You intend to draw a random sample of size n=230.
Find the probability that a single randomly selected value is between 133.6 and 134.1.
P(133.6<X<134.1)=?
Write your answers as numbers accurate to 4 decimal places.

asked 2021-11-09
The random variables X and Y have joint density function
f(x,y)=12xy(1-x) 0<x<1,0<y<1
and equal to 0 otherwise.
Find Var(Y).
asked 2022-06-16

Toss 3 coin and 2 die find the probability of appearing 3 heads and sum of a dot = 12

asked 2021-11-10
The random variables X and Y have joint density function
f(x,y)=12xy(1-x) 0<x<1,0<y<1
and equal to 0 otherwise.
Are X and Y independent?
asked 2022-01-16
What does the term expected value mean?
asked 2021-01-31
For a population with a mean of μ=100 and a standard deviation of σ=20,
Find the X values.
z=.50.

New questions