Interpreting the Mean and Median of a Data Set: Background You’ll Need 2

 Calculating Mean

Recall

Do you recall how to calculate the mean of a data set?

Employee

Monthly Salary in January

(in thousands of dollars)

Monthly Salary in February

(in thousands of dollars)

Employee 1 [latex]4[/latex] [latex]4[/latex]
Employee 2 [latex]6[/latex] [latex]8[/latex]
Employee 3 [latex]3[/latex] [latex]3[/latex]
Employee 4 [latex]5[/latex] [latex]5[/latex]
Employee 5 [latex]6[/latex] [latex]6[/latex]
Employee 6 [latex]3[/latex] [latex]3[/latex]

question 4

The same steps we used to calculate the median with the statistics tool can be used to find the mean. Use the tool to find the mean of the January salaries and compare it to your by hand calculation. Did they match?

Go to the Describing and Exploring Quantitative Variables tool at https://dcmathpathways.shinyapps.io/EDA_quantitative/ and confirm your answer using the online tool.

Step 1) Select the Single Group tab.

Step 2) Locate the drop-down menu under Enter Data and select Your Own.

Step 3) Under Do you have, select Individual Observations.

Step 4) Under Name of Variable, type “January Salaries (in thousands $)”.

Step 5) Under Enter observations, enter the data list, separated by spaces: “4 6 3 5 6 3.” The median will be among the Descriptive Statistics listed in the tool.

question 5

Now, consider what the mean tells us about the data. See the recall box at the top of the page for a hint.

question 6

question 7