6.1. Measure Definition/Interpretation

Try these first

1. 1.

   Calculate the mean of the following values: 8, 9, 9, 10, 11.

   Hint

   Add all values and divide by the total number of values.

2. 2.

   What is the mode of the following set of values: 4, 5, 5, 6, 6, 6, 7?

   Hint

   Identify the number that occurs most frequently.

3. 3.

   What is the formula for calculating the mean?

   Hint

   Remember, it involves adding up all the data points.

4. 4.

   True or False: The mode can be less than, greater than, or equal to the median.

   • True
   • False

   Hint

   Consider an example where there might be multiple modes or a very skewed distribution.

5. 5.

   Given the following ages of 10 people: 23, 29, 22, 21, 29, 30, 27, 25, 27, 29, calculate the mean, median, mode, and standard deviation.

   Hint

   Start by sorting the ages!

6. 6.

   A certain data set has a mean of 75 and standard deviation of 10. If a new value of 90 is added, how does this affect the mean and SD?

   Hint

   Think about how adding a large value affects the overall average.