Identify the class midpoints. $$ 149.5,249.5,349.5,449.5,549.5 $$ (Type integers or decimals. Do not round. Use ascending order.) Identify the class boundaries. $$ \begin{array}{l}149.5,249.5, \sqrt[349.5]{24}, 449.5,549.5, \square \ ext { (Type integers or decimals. Do not round. Use ascending order.) }\end{array} $$

Question

Identify the class midpoints. $$ 149.5,249.5,349.5,449.5,549.5 $$ (Type integers or decimals. Do not round. Use ascending order.) Identify the class boundaries. $$ \begin{array}{l}149.5,249.5, \sqrt[349.5]{24}, 449.5,549.5, \square \ 	ext { (Type integers or decimals. Do not round. Use ascending order.) }\end{array} $$

UpStudy AI · Accepted Answer

**Class Midpoints:**
$$ 149.5,\ 249.5,\ 349.5,\ 449.5,\ 549.5 $$

**Class Boundaries:**
$$ 99.5,\ 199.5,\ 299.5,\ 399.5,\ 499.5,\ 599.5 $$

**Explanation:**

- **Class Midpoints:** These are the central values of each class interval and are already provided as:
  $$ 149.5,\ 249.5,\ 349.5,\ 449.5,\ 549.5 $$

- **Class Boundaries:** To determine the class boundaries from the midpoints:
  
  1. **Determine the class width:** The difference between consecutive midpoints is consistent:
     $$ 249.5 - 149.5 = 100 $$
  
  2. **Calculate the boundaries:** The class boundaries are found by subtracting and adding half of the class width (which is 50) to the midpoints:
     - Lower boundary of the first class: 
       $$ 149.5 - 50 = 99.5 $$
     - Upper boundary of the first class and lower boundary of the second class:
       $$ 149.5 + 50 = 199.5 $$
     - Continue this pattern for subsequent classes:
       $$ 199.5,\ 299.5,\ 399.5,\ 499.5,\ 599.5 $$

Therefore, the complete list of class boundaries in ascending order is:
$$ 99.5,\ 199.5,\ 299.5,\ 399.5,\ 499.5,\ 599.5 $$
**Class Midpoints:** $$ 149.5,\ 249.5,\ 349.5,\ 449.5,\ 549.5 $$ **Class Boundaries:** $$ 99.5,\ 199.5,\ 299.5,\ 399.5,\ 499.5,\ 599.5 $$

Real Tutor Solution

Answer

Solution

Mind Expander

Related Questions

Latest Statistics Questions