Practice Standard Deviation (σ Or S) (3.4) - Standard Deviation & Variance

Practice: Standard Deviation (σ or s)

Lesson 3.4Standard Deviation & Variance

Practise this section

11 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
5 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Calculate the standard deviation for the data set: 4, 8, 6, 5, 3.
Show hintHide hint
Find the mean first, then calculate each deviation.
Question 2.
If a data set has a mean of 10 and all values are the same, what is the standard deviation?
Show hintHide hint
Consider the definition of standard deviation.
3Question 3.
What does a higher standard deviation indicate?
- Data points are closely clustered.
- Data points are widely spread.
- No variability.
Show hintHide hint
Think about what a low standard deviation indicates.
4Question 4.
True or False: A standard deviation of zero means all data points are identical.
- True
- False
Show hintHide hint
Reflect on what standard deviation measures.
Question 5.
You collect the following measurements: 7, 8, 6, 9, 12. Find the standard deviation and explain its significance in context.
Show hintHide hint
Calculate mean and then apply the standard deviation formula.
Question 6.
A manufacturer records the weights of batches of products: 100g, 102g, 98g, 105g, 95g. Discuss how the standard deviation would be used to ensure quality control.
Show hintHide hint
Analyze the dispersion of weights relative to a target weight.

7 more questions in this section. Enroll free to practise them all.