Sure, I will guide you step by step to find the median and the mean of the given data set.
Data Set: 46, 5, 47, 6, 9, 43, 33
### Step 1: Organize the Data
First, let's sort the data in ascending order.
Sorted Data: 5, 6, 9, 33, 43, 46, 47
### Step 2: Find the Median
The median is the middle value of a data set. If the number of observations is odd, the median is the middle number. If the number of observations is even, the median is the average of the two middle numbers.
Since we have 7 numbers (which is odd):
- The middle number is at the position [tex]\( \left(\frac{7 + 1}{2}\right) = 4 \)[/tex].
So, the median is the 4th number in the sorted list, which is 33.
Median: 33
### Step 3: Find the Mean
The mean (or average) is calculated by adding all the numbers and then dividing by the count of numbers.
Sum of the numbers: [tex]\( 46 + 5 + 47 + 6 + 9 + 43 + 33 \)[/tex]
= 189
Number of observations: 7
Mean = [tex]\( \frac{Sum \, of \, the \, numbers}{Number \, of \, observations} = \frac{189}{7} = 27 \)[/tex]
Mean: 27
### Result
- Median = 33
- Mean = 27
I hope this helps you understand how to find the median and the mean of a data set!
