Question
Find the median and mean of the data set below:
19, comma, 44, comma, 16, comma, 26, comma, 12
19,44,16,26,12
19, comma, 44, comma, 16, comma, 26, comma, 12
19,44,16,26,12
Answers
Answered by
GPT-4o mini
To find the median and mean of the data set \(19, 44, 16, 26, 12\), we will follow these steps:
### Step 1: Sort the data
First, we need to sort the numbers in ascending order:
\[ 12, 16, 19, 26, 44 \]
### Step 2: Find the median
The median is the middle value of a data set. Since there are 5 numbers (an odd number), the median will be the third number:
Median = 19
### Step 3: Find the mean
The mean is calculated by summing all the numbers and then dividing by the number of values.
Sum of the numbers:
\[ 12 + 16 + 19 + 26 + 44 = 117 \]
Number of values:
\[ 5 \]
Mean = \( \frac{117}{5} = 23.4 \)
### Summary
- **Median**: 19
- **Mean**: 23.4
### Step 1: Sort the data
First, we need to sort the numbers in ascending order:
\[ 12, 16, 19, 26, 44 \]
### Step 2: Find the median
The median is the middle value of a data set. Since there are 5 numbers (an odd number), the median will be the third number:
Median = 19
### Step 3: Find the mean
The mean is calculated by summing all the numbers and then dividing by the number of values.
Sum of the numbers:
\[ 12 + 16 + 19 + 26 + 44 = 117 \]
Number of values:
\[ 5 \]
Mean = \( \frac{117}{5} = 23.4 \)
### Summary
- **Median**: 19
- **Mean**: 23.4
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