I asked 6 random people how many countries they have been to before and this is what they reported:
Data Set:
0, 1, 1, 3, 7, 9
You need to go through the 5 steps of calculating sample standard deviation for this data set. Remember to not round anything inbetween (it won't be necessary for this problem) until you get to the final asnwer and then round your final answer to the nearest tenth.
Question 1
1.
Question 2
2.
What is the mean of this data set?
Question 3
3.
Question 4
4.
What are the 5 squared differences for this data set? (There are only 5 because one value is a repeat)
Question 5
5.
Question 6
6.
After you add up all the squared differences what do you get?
Question 7
7.
Question 8
8.
After you divide the sum of the squared differences by the population size minus one (5) what do you get?
Question 9
9.
Question 10
10.
After you calculate the square root of the number from the previous step what is your final Standard Deviation rounded to the nearest tenth?
Remember the square root might look something like this:
What is the 1st step that you do to start calculating standard deviation?
Divide the sum of the squared differences by the population size (6)
Calculate the square root of the number from the step before this
Calculate the squared differences (each value minus the mean and then square it)
Add up all of the values , and then minus them all again, and then you are done with this problem, yay
Calculate the mean (add up all the values and then divide by 6)
Add up all of the squared differences
Pick your favorite numbers and then figure out something from there, easy breezy
3.5
3.6
What is the 2nd step that you do for calculating standard deviation?
Divide the sum of the squared differences by the population size (6)
Calculate the square root of the number from the step before this
Calculate the squared differences (each value minus the mean and then square it)
Add up all of the values , and then minus them all again, and then you are done with this problem, yay
Calculate the mean (add up all the values and then divide by 6)
Add up all of the squared differences
Pick your favorite numbers and then figure out something from there, easy breezy
14.5 and 6.25 and 0.36 and 12.25 and 30.1
13.1 and 4.7 and 0.95 and 10.12 and 32.3
12.25 and 6.25 and 0.3 and 14.5 and 35.6
What is the 3rd step that you do for calculating standard deviation?
Divide the sum of the squared differences by the population size (6)
Calculate the square root of the number from the step before this
Calculate the squared differences (each value minus the mean and then square it)
Add up all of the values , and then minus them all again, and then you are done with this problem, yay
Calculate the mean (add up all the values and then divide by 6)
Add up all of the squared differences
Pick your favorite numbers and then figure out something from there, easy breezy
70
92.3
What is the 4th step that you do for calculating sample standard deviation?
Divide the sum of the squared differences by the population size minus one (5)
Calculate the square root of the number from the step before this
Calculate the squared differences (each value minus the mean and then square it)
Add up all of the values , and then minus them all again, and then you are done with this problem, yay
Calculate the mean (add up all the values and then divide by 6)
Add up all of the squared differences
Pick your favorite numbers and then figure out something from there, easy breezy
14.7
15.95
What is the 5th and final step that you do for calculating standard deviation?
Divide the sum of the squared differences by the population size (6)
Calculate the square root of the number from the step before this
Calculate the squared differences (each value minus the mean and then square it)
Add up all of the values , and then minus them all again, and then you are done with this problem, yay
Calculate the mean (add up all the values and then divide by 6)
Add up all of the squared differences
Pick your favorite numbers and then figure out something from there, easy breezy