Unit VII Assignment: Making the Grade
In this assignment, you will be asked to calculate several statistics for a particular data set.
Instructions: Imagine that you are a high school teacher. You just calculated each student’s final course grade but want to know how the class did overall. To determine this, follow the instructions in the box below to create your data set. Next, use the data set to answer questions 1–6.
Grades: |
Stem | Leaves |
a. What is the lowest grade in the class? | |
b. What is the highest grade in the class? |
The mode is: |
Use the stem-and-leaf display in question 2 to list the grades from lowest to highest.
If there are two middle grades, add those grades together and divide by 2. Replace the “?” in the formula with the appropriate values.
The median is: |
To find the mean, add all the grades together, and divide by the total number of grades. A template is provided below. Complete the template by substituting in the appropriate values.
The mean rounded to the nearest whole number is: |
Class 1 | Class 2 | Class 3 | Class 4 | Class 5 | Class 6 | Class 7 | YOUR CLASS | Class 9 |
93 | 80 | 70 | 86 | 68 | 92 | 74 | ?? | X |
The formula for solving this question is below. Replace the words, “Your Class Average,” with the answer you found in question 5 and solve for X. Show each step of your work.
First, add all the numbers in the numerator together:
Next, multiply both sides of the equation by 9:
Isolate the x and write the final answer:
The 9th class must have an average of: |