Question
Find the median and mean of the data set below:
35,9,17,7,45,3,24
35,9,17,7,45,3,24
Answers
GPT-4o mini
To find the median and mean of the data set \(35, 9, 17, 7, 45, 3, 24\), we will follow these steps:
### Step 1: Sort the Data
First, we need to sort the data in ascending order:
\[ 3, 7, 9, 17, 24, 35, 45 \]
### Step 2: Find the Median
The median is the middle number in a sorted list. Since there are 7 numbers in this data set (an odd count), the median is the number that is in the 4th position:
The 4th number in the sorted list is \(17\).
Thus, the **median** is **17**.
### Step 3: Find the Mean
The mean is calculated by summing all the numbers in the data set and dividing by the count of the numbers.
#### Calculate the sum:
\[
3 + 7 + 9 + 17 + 24 + 35 + 45 = 140
\]
#### Calculate the mean:
Now, divide the sum by the number of values (which is 7):
\[
\text{Mean} = \frac{140}{7} = 20
\]
Thus, the **mean** is **20**.
### Summary
- **Median**: 17
- **Mean**: 20
### Step 1: Sort the Data
First, we need to sort the data in ascending order:
\[ 3, 7, 9, 17, 24, 35, 45 \]
### Step 2: Find the Median
The median is the middle number in a sorted list. Since there are 7 numbers in this data set (an odd count), the median is the number that is in the 4th position:
The 4th number in the sorted list is \(17\).
Thus, the **median** is **17**.
### Step 3: Find the Mean
The mean is calculated by summing all the numbers in the data set and dividing by the count of the numbers.
#### Calculate the sum:
\[
3 + 7 + 9 + 17 + 24 + 35 + 45 = 140
\]
#### Calculate the mean:
Now, divide the sum by the number of values (which is 7):
\[
\text{Mean} = \frac{140}{7} = 20
\]
Thus, the **mean** is **20**.
### Summary
- **Median**: 17
- **Mean**: 20