Analyzing Dot Plots for Percent Calculations

The video tutorial explains how to interpret and analyze dot plots, focusing on a dataset representing adults in a senior nursing home. It covers counting dots to determine the total number of residents, calculating percentages of residents in specific age groups, and setting up and solving proportions to find these percentages. The tutorial emphasizes understanding each dot as representing one individual unless otherwise specified and encourages practice with similar questions.

What does each dot on the dot plot represent?

• One adult resident at the nursing home

• A group of people

• Two adult residents at the nursing home

• The age of the resident

How many adults live at the senior home according to the dot plot?

• 10

• 20

• 30

• 40

What age range is being considered to calculate the percentage of residents in their 70s?

• 70-79

• 60-69

• 80-89

• 90-99

How many residents are in their 70s?

• 15

• 20

• 10

• 5

What is the first step in setting up a proportion to find a percentage?

• Divide by the total number

• Cross multiply

• Multiply by 100

• Identify the total and the part

What is the total number used in the proportion for calculating the percentage of residents in their 70s?

• 30

• 40

• 20

• 10

What percentage of the nursing home residents are in their 70s?

• 25%

• 50%

• 75%

• 100%

What is the result of cross multiplying in the proportion?

• 10x = 2000

• 20x = 1000

• 10x = 100

• 20x = 200

How do you isolate the variable in the equation obtained from cross multiplication?

• Divide both sides by 20

• Multiply both sides by 20

• Subtract 20 from both sides

• Add 20 to both sides

What is the final step to find the percentage of residents in their 70s?

• Multiply 100 by 2

• Add 100 to both sides

• Divide 1000 by 20

• Subtract 100 from both sides