Calculate the standard deviance (statistics)

Click For Summary
SUMMARY

The discussion revolves around calculating the standard deviation, specifically addressing the difference between sample and population standard deviation. The user initially calculated a sample standard deviation of 4.40 using a calculator with the method STAT > CALC > 1. However, the example provided in the homework states to assume a population standard deviation of 3.50. The confusion arises from the distinction between sample size and population size in the calculation, particularly whether to divide by 19 (sample size minus one) or 20 (total sample size).

PREREQUISITES
  • Understanding of standard deviation concepts
  • Familiarity with statistical calculators
  • Knowledge of sample versus population statistics
  • Basic arithmetic skills for calculations
NEXT STEPS
  • Learn how to calculate sample versus population standard deviation
  • Explore statistical calculator functions for standard deviation
  • Study the implications of sample size on standard deviation calculations
  • Review statistical assumptions in hypothesis testing
USEFUL FOR

Students in statistics courses, educators teaching statistical methods, and anyone involved in data analysis requiring clarity on standard deviation calculations.

RedonYellow
Messages
3
Reaction score
0
(solved) Calculate the standard deviation (statistics)

Homework Statement



From this table of values, I'm supposed to calculate the standard deviance

dm2-1.jpg


Homework Equations



Up until this point, I've had no problem calculating the standard deviance with my calculator by going to STAT> CALC > 1 and entering the table.

The Attempt at a Solution



This is was my method of solving it this time, and my answer was 4.40. However, the answer in the example says to "Assume that the standard deviance is 3.50." I don't understand the basis of making such an assumption. How can I calculate the standard deviance in a way that will result in 3.50 as my answer?
 
Last edited:
Physics news on Phys.org


RedonYellow said:
However, the answer in the example says to "Assume that the standard deviance is 3.50." I don't understand the basis of making such an assumption.

If the question is saying to assume the population standard deviation is 3.5, this does not contradict getting a different answer for the sample standard deviation, which is what you calculated.

The only wiggle room that I see for you in calculating the sample standard deviation is whether you divide by 19 (the samle size minus 1) or 20 (the sample size). I haven't checked the arithmetic you did.
 
Never mind. I figured it out
 
Last edited:

Similar threads

Determine the standard deviation of these results
  • · Replies 10 ·
Replies
10
Views
2K
Understanding the meaning of "expected fraction" (Statistics)
  • · Replies 4 ·
Replies
4
Views
2K
Confidence Interval Calculation
  • · Replies 3 ·
Replies
3
Views
3K
Ti-89 Calculator question (Statistics)
  • · Replies 2 ·
Replies
2
Views
2K
Logarithmic Regression Question (TI-84 Plus Graphing Calculator)
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Analysing Sample's Statistical Fluctuation Probability
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Calculating the End of the Universe Using Standard Deviation Statistics
  • · Replies 13 ·
Replies
13
Views
3K
Statistics problem using cumulative from mean
  • · Replies 5 ·
Replies
5
Views
5K
(STATISTICS) 3 randomly selected observations from standard norm dist
  • · Replies 3 ·
Replies
3
Views
2K
Calculate the confidence interval (Statistics problem)
  • · Replies 1 ·
Replies
1
Views
3K