use the double bar graph to answer 3 - 5\n3) is the data displayed categorical or quantitative? explain.\n4)…

use the double bar graph to answer 3 - 5\n3) is the data displayed categorical or quantitative? explain.\n4) for white people, how much more is the percent difference for less 15k compared to $15 - 30k? what about non - white people?\nincome loss due to covid - 19, by ra\n% of workers affected\nless $15k $15 - 30k $30 - 45k $45 - 75k\nwhite people non - white peo\nn white people = 568, n non - white people = 412

use the double bar graph to answer 3 - 5\n3) is the data displayed categorical or quantitative? explain.\n4) for white people, how much more is the percent difference for less 15k compared to $15 - 30k? what about non - white people?\nincome loss due to covid - 19, by ra\n% of workers affected\nless $15k $15 - 30k $30 - 45k $45 - 75k\nwhite people non - white peo\nn white people = 568, n non - white people = 412

Answer

Explanation:

Step1: Determine data type for question 3

Categorical data is non - numerical and qualitative, while quantitative data is numerical. The data in the bar - graph represents the percentage of workers affected, which is numerical.

Step2: Calculate percent difference for white people in question 4

Percent difference formula is $\frac{|a - b|}{\frac{a + b}{2}}\times100%$. For white people, $a = 61$ (Less $15K$) and $b = 52$ ($15 - 30K$). First, find the average $\frac{61+52}{2}=\frac{113}{2}=56.5$. Then, $|61 - 52| = 9$. Percent difference is $\frac{9}{56.5}\times100%\approx15.9%$.

Step3: Calculate percent difference for non - white people in question 4

For non - white people, $a = 53$ (Less $15K$) and $b = 50$ ($15 - 30K$). Average is $\frac{53 + 50}{2}=\frac{103}{2}=51.5$. $|53 - 50| = 3$. Percent difference is $\frac{3}{51.5}\times100%\approx5.8%$.

Answer:

  1. The data is quantitative because it represents the percentage of workers affected, which is numerical.
  2. For white people, the percent difference between Less $15K$ and $15 - 30K$ is approximately $15.9%$. For non - white people, the percent difference between Less $15K$ and $15 - 30K$ is approximately $5.8%$.