3: Center, Variance, and Distributions
Students calculate mean, median, standard deviation, and variance, convert values to z-scores, and determine percentile ranks from sorted data.
Matching Measures of Center to Definitions
Click to show Matching Measures of Center to Definitions example problem
Match each of the following measures of center with their corresponding definitions.
Note: Each choice will be used exactly once.
| Your Choice | Prompt | |
|---|---|---|
| 1. Median | ||
| 2. Midrange | ||
| 3. Mode | ||
| 4. Mean |
Drag one of the choices below:
- A. The measure calculated by dividing the sum of all data points by the number of data points.
- B. The value that appears with the greatest frequency in the set.
- C. The midpoint between the smallest and largest values in the data set.
- D. The middle value of an arranged set, splitting the data into two equal halves.
Measures of Center from Definitions
Click to show Measures of Center from Definitions example problem
Which one of the following measures of center correspond to the definition 'The most common data point(s) within a set.'.
Descriptive Statistics Using Google Sheets
Click to show Descriptive Statistics Using Google Sheets example problem
Purpose: This assignment will help you practice making your own copy of a Google Sheet template and using with for statistical calculations. Throughout this course, we will use Google Sheets regularly. Take some time to look at the formulas in the sheet and notice how they work.
Follow these steps carefully:
(1) Open the Google Sheet Template: Google Sheet Template
(2) Go to File → Make a copy to create your own version.
(3) Enter the following numbers into the Raw Data column:
59
52
19
19
11
39
12
66
82
31
(4) Once the data is entered, look at the Descriptive Statistics column and enter the following values here:
- Mean
- Median
- Mode
- Range
Important: Report each answer as a whole number only (no decimals).