6. Statistical Measures – Examples and Their Calculations

Try these first

1. 1.

   What is the mean of the data set {4, 8, 6, 5}?

   Hint

   Add up all numbers and divide by total count.

2. 2.

   Identify the mode in the dataset {1, 2, 2, 3, 4, 4, 4, 5}.

   Hint

   Look for the number that appears most frequently.

3. 3.

   What is the formula for calculating the mean?

   • \\( \\bar{x} = \\frac{1}{n} \\sum_{i=1}^n x_i \\)
   • \\( \\bar{x} = \\sum_{i=1}^n x_i \\)
   • \\( \\bar{x} = \\frac{x_{max} - x_{min}}{2} \\)

   Hint

   Think about the average definition!

4. 4.

   True or false: The mode can be determined for continuous data.

   • True
   • False

   Hint

   Consider how data values can repeat.

5. 5.

   Given the data set {22, 19, 19, 24, 21}, calculate the mean, median, standard deviation, and identify if there's a mode.

   Hint

   Work through each statistic one step at a time.

6. 6.

   A dataset of temperature recordings is given as {30, 32, 31, 28, 35}. What are the range, mean, and whether there's a mode?

   Hint

   Consider how to compute each statistic thoughtfully.