10.x.5. Examples

Try these first

1. 1.

   What is the mean of the dataset {10, 12, 8}?

   Hint

   Add the numbers and divide by how many there are.

2. 2.

   If variance is 4, what is the standard deviation?

   Hint

   Remember: SD = √Variance.

3. 3.

   What is the formula for calculating variance?

   Hint

   Think about the differences from the average.

4. 4.

   True or False: A lower standard deviation indicates that data points are widely spread out.

   • True
   • False

   Hint

   What does 'spread out' mean in this context?

5. 5.

   Given the dataset {5, 9, 4, 2, 1}, calculate the mean, variance, and standard deviation.

   Hint

   Make sure to perform each calculation step by step.

6. 6.

   Discuss how the presence of outliers can skew both the variance and the standard deviation in a set of data.

   Hint

   Think about extreme values and their impact on average measures.