Math  /  Data & Statistics

QuestionFind the median for the following group of data items. 70,10,40,10,3070,10,40,10,30
The median is \square (Type an integer or a decimal.)

Studdy Solution

STEP 1

What is this asking? We need to find the middle value when the numbers are arranged in order. Watch out! Don't forget to sort the numbers first!
A common mistake is to pick the middle number from the original list without sorting.

STEP 2

1. Sort the data
2. Find the middle value

STEP 3

Let's **sort** these numbers from smallest to largest.
This gives us 10,10,30,40,7010, 10, 30, 40, 70.
We do this because the **median** is the middle value when the data is arranged in order.

STEP 4

Now, let's find the **middle** number.
Since we have **five** numbers, the middle one is the third number.
We can calculate the middle position as 5+12=62=3\frac{5+1}{2} = \frac{6}{2} = 3.

STEP 5

Our sorted list is 10,10,30,40,7010, 10, 30, 40, 70.
The number in the **third position** is 3030.

STEP 6

The median is 3030.

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