a. The list shows the number of stories in the 11 tallest buildings
in Springfield. Find the median and mode of the data.

Ask by Wade Joseph. in the United States

Mar 31,2025

Question

a. The list shows the number of stories in the 11 tallest buildings in Springfield. Find the median and mode of the data. $$ 40,38,40,37,33,30,20,24,21,17,19 $$

UpStudy AI · Accepted Answer

1. **Order the Data in Ascending Order**

The given list is:
   $$
   40,\,38,\,40,\,37,\,33,\,30,\,20,\,24,\,21,\,17,\,19
   $$
   
   Sorting these values gives:
   $$
   17,\,19,\,20,\,21,\,24,\,30,\,33,\,37,\,38,\,40,\,40
   $$

2. **Find the Median**

Since there are $$ 11 $$ data points (an odd number), the median is the number at position $$\frac{11+1}{2} = 6$$.

Counting to the 6th number in the ordered list:
   $$
   \text{Median} = 30
   $$

3. **Find the Mode**

The mode is the value that occurs most frequently. Reviewing the list:
   
   - $$40$$ appears twice.
   - All other numbers appear only once.
   
   Therefore:
   $$
   \text{Mode} = 40
   $$
The median is 30 and the mode is 40.

a. The list shows the number of stories in the 11 tallest buildings
in Springfield. Find the median and mode of the data.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Statistics Questions