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Math

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PROBLEM

Question
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Find the median and mean of the data set below:
47,15,6,49,45,3047,15,6,49,45,30 Answer Attempt 1 out of 2
Median = \square Mean = \square
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STEP 1

What is this asking?
We need to find the middle value (median) and the average value (mean) of a set of numbers.
Watch out!
Don't forget to order the numbers before finding the median!

STEP 2

1. Sort the Data
2. Calculate the Median
3. Calculate the Mean

STEP 3

Alright, let's wrangle these numbers!
We've got 6,15,30,45,47,496, 15, 30, 45, 47, 49.
See how we put them in order from smallest to largest?
That's super important for finding the median!

STEP 4

Since we have an even number of values (66 values), the median is the average of the two middle numbers.
In our sorted list, the two middle numbers are 3030 and 4545.

STEP 5

Let's add them together: 30+45=7530 + 45 = 75.

STEP 6

Now, divide by 2 to find the median: 75÷2=37.575 \div 2 = 37.5.
So, our median is 37.5!

STEP 7

To find the mean, we add up all the numbers and then divide by how many numbers there are.

STEP 8

Add 'em up: 6+15+30+45+47+49=1926 + 15 + 30 + 45 + 47 + 49 = 192.

STEP 9

We have 66 numbers, so we divide the sum by 6: 192÷6=32192 \div 6 = 32.
Our mean is 32!

SOLUTION

Median = 37.537.5
Mean = 3232

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