6.2. Example Calculation

Try these first

1. 1.

   Calculate the mean of the following data: {4, 8, 6, 5, 7}.

   Hint

   Recall the mean formula: sum all numbers, then divide by their count.

2. 2.

   Identify the mode in the set: {1, 3, 3, 2, 1}.

   Hint

   Look for the number that occurs the most in the list.

3. 3.

   What is the mean of the following numbers: 4, 5, 6, 7?

   • 5
   • 6
   • 5.5

   Hint

   Remember to sum and then divide by the total count.

4. 4.

   True or False: The median can be affected by outliers.

   • True
   • False

   Hint

   Think about how the median is defined and calculated.

5. 5.

   Given the dataset {3, 7, 3, 8, 10, 11}, calculate the mean, median, mode, and standard deviation.

   Hint

   Use the respective formulas for each measure.

6. 6.

   A data scientist observes the following values: {20, 22, 23, 25, 30, 28, 15}. Analyze the data set to determine the range, mean, and standard deviation.

   Hint

   For range, subtract smallest from largest; for mean, sum and divide; for standard deviation, calculate deviations.