Answer:
3) Bar A
4) G. The height of all the students at West Middle School.
Step-by-step explanation:
Question 3
A percentage bar graph visually represents data using bars where the length of each bar corresponds to the percentage of the whole it represents.
To create a percentage bar graph from the given table, begin by calculating the total number of residents:
Total number of residents = 18 + 27 + 63 + 42 = 150
Now, for each value in the table, divide it by the total and multiply by 100 to calculate the percentage:
[tex]\textsf{Bar 1}=\dfrac{18}{150}=0.12=12\%\\\\\\\textsf{Bar 2}=\dfrac{27}{150}=0.18=18\%\\\\\\\textsf{Bar 3}=\dfrac{63}{150}=0.42=42\%\\\\\\\textsf{Bar 4}=\dfrac{42}{150}=0.28=28\%[/tex]
Start by drawing the first bar from 0% to 12% and label it "1". Then, determine where to end the next bar by adding the percentage of "2" to the percentage of "1". Continue this process until we reach the last bar:
- Draw the first bar from 0% to 12% and label it "1".
- The end of the second bar will be at 12% + 18% = 30%. Draw a bar at 30% and label it "2".
- The end of the third bar will be at 30% + 42% = 72%. Draw a bar at 72% and label it "3".
- Finally, the end of the fourth bar will be at 72% + 28% = 100%. Draw a bar at 100% and label it "4".
Therefore, the percentage bar graph that best represents the data is:
[tex]\LARGE\boxed{\boxed{\sf Bar \;A}}[/tex]
[tex]\dotfill[/tex]
Question 4
The variability of a dataset refers to the degree to which the values differ from each other.
The height of all the students at West Middle School is influenced by a wide range of factors such as genetics, nutrition, and environmental factors. Some students may be very tall, while others may be much shorter, leading to a significant variability in heights across the student population.
On the other hand, the cost of a piece of candy from a vending machine typically has less variability. While there might be some variation in prices based on factors like location or type of candy, the range of possible prices is often narrow because prices for different types of candy are standardized or set within a narrow range.
Therefore, the height of all the students at West Middle School is likely to have the greatest variability.
