Find the median and mean of the data set below:47, comma, 15, comma, 6, comma, 49, comma, 45, comma, 3047,15,6,49,45,30

Sure, let's find the median and mean of the given data set step by step.

Data Set:

47, 15, 6, 49, 45, 30

Step 1: Arrange the Data in Ascending Order

First, we need to arrange the data in ascending order: 6, 15, 30, 45, 47, 49

Step 2: Find the Median

The median is the middle value of a data set when it is ordered. 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.

In this case, we have 6 numbers (an even number), so the median will be the average of the 3rd and 4th numbers in the ordered list.

The 3rd number is 30 and the 4th number is 45.

Median = (30 + 45) / 2 = 75 / 2 = 37.5

Step 3: Find the Mean

The mean is the average of all the numbers in the data set. To find the mean, we sum all the numbers and then divide by the number of observations.

Sum of the numbers = 6 + 15 + 30 + 45 + 47 + 49 = 192

Number of observations = 6

Mean = Sum of the numbers / Number of observations = 192 / 6 = 32

Summary

• Median: 37.5
• Mean: 32

So, the median of the data set is 37.5 and the mean is 32.

Sure, let's start with the mean first.

Step 1: Add all the numbers together. 47 + 15 + 6 + 49 + 45 + 30 = 192

Step 2: Divide the sum by the total number of data points. 192 ÷ 6 = 32

So, the mean of the data set is 32.

Now, let's find the median.

Step 1: Arrange the data in ascending order. 6, 15, 30, 45, 47, 49

Step 2: Since there are an even number of data points, we need to find the average of the middle two numbers. 30 + 45 = 75 75 ÷ 2 = 37.5

So, the median of the data set is 37.5.