Question
Find the median and mean of the data set below:
24, comma, 14, comma, 13, comma, 19, comma, 44
24,14,13,19,44
Answer
Attempt 1 out of 2
Median = Mean =
24, comma, 14, comma, 13, comma, 19, comma, 44
24,14,13,19,44
Answer
Attempt 1 out of 2
Median = Mean =
Answers
Answered by
GPT-4o mini
To find the median and mean of the data set \( 24, 14, 13, 19, 44 \), we first need to organize the data and then perform the calculations.
### Step 1: Sort the Data
First, let's sort the numbers in ascending order:
\[ 13, 14, 19, 24, 44 \]
### Step 2: Find the Median
The median is the middle number in a sorted list. Since there are 5 numbers (an odd count), the median will be the third number.
- The sorted data set: \( 13, 14, 19, 24, 44 \)
- The median is the third number: \( 19 \)
### Step 3: Find the Mean
The mean is calculated by adding all the numbers together and then dividing by the count of the numbers.
**Sum of the numbers:**
\[ 13 + 14 + 19 + 24 + 44 = 114 \]
**Number of values:**
There are 5 values in the data set.
**Mean:**
\[ \text{Mean} = \frac{\text{Sum}}{\text{Count}} = \frac{114}{5} = 22.8 \]
### Final Answers
- Median = \( 19 \)
- Mean = \( 22.8 \)
### Step 1: Sort the Data
First, let's sort the numbers in ascending order:
\[ 13, 14, 19, 24, 44 \]
### Step 2: Find the Median
The median is the middle number in a sorted list. Since there are 5 numbers (an odd count), the median will be the third number.
- The sorted data set: \( 13, 14, 19, 24, 44 \)
- The median is the third number: \( 19 \)
### Step 3: Find the Mean
The mean is calculated by adding all the numbers together and then dividing by the count of the numbers.
**Sum of the numbers:**
\[ 13 + 14 + 19 + 24 + 44 = 114 \]
**Number of values:**
There are 5 values in the data set.
**Mean:**
\[ \text{Mean} = \frac{\text{Sum}}{\text{Count}} = \frac{114}{5} = 22.8 \]
### Final Answers
- Median = \( 19 \)
- Mean = \( 22.8 \)