Math / Data & Statistics

QuestionConsider the below data for ALL PARTS of this question: $\begin{array}{llllllllll}68 & 32 & 28 & 59 & 45 & 47 & 52 & 55 & 47 & 50\end{array}$ What is the sample MEDIAN? $\qquad$ Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as $7.0 ;-3.562$ is entered as -3.6 ; 0.3750 is entered as $0.4 ; 17.351$ is entered as 17.4 $\square$ A

Studdy Solution

STEP 1

What is this asking? Find the middle number in a set of numbers after putting them in order. Watch out! Don't forget to sort the numbers first!
Also, remember the special rule for finding the median when there's an even number of values.

STEP 2

1. Sort the data
2. Find the middle

STEP 3

Alright, let's wrangle these numbers!
We've got a bunch of numbers here, and to find the median, we need to put them in order from smallest to largest.
It's like lining up for recess, smallest in the front, tallest in the back!

STEP 4

So, our unsorted list is: $68, 32, 28, 59, 45, 47, 52, 55, 47, 50$ .
Let's sort them!

STEP 5

And the sorted list is: $28, 32, 45, 47, 47, 50, 52, 55, 59, 68$ .
Look at that, nice and organized!

STEP 6

Now, the median is the middle number.
It's like the VIP in the middle of the line.
Since we have an even number of values ( $10$ values), we need to find the average of the two middle numbers.
It's like having two VIPs!

STEP 7

Our two middle numbers are $47$ and $50$ .
Let's add them together and divide by $2$ to find their average.

STEP 8

$\frac{47 + 50}{2} = \frac{97}{2} = 48.5$

STEP 9

So, our median is $48.5$ !

STEP 10

The sample median is $48.5$ .

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Studdy Solution

STEP 1

What is this asking? Find the middle number in a set of numbers after putting them in order. Watch out! Don't forget to sort the numbers first!
Also, remember the special rule for finding the median when there's an even number of values.

STEP 2

1. Sort the data
2. Find the middle

STEP 3

Alright, let's wrangle these numbers!
We've got a bunch of numbers here, and to find the median, we need to put them in order from smallest to largest.
It's like lining up for recess, smallest in the front, tallest in the back!

STEP 4

So, our unsorted list is: $68, 32, 28, 59, 45, 47, 52, 55, 47, 50$ .
Let's sort them!

STEP 5

And the sorted list is: $28, 32, 45, 47, 47, 50, 52, 55, 59, 68$ .
Look at that, nice and organized!

STEP 6

Now, the median is the middle number.
It's like the VIP in the middle of the line.
Since we have an even number of values ( $10$ values), we need to find the average of the two middle numbers.
It's like having two VIPs!

STEP 7

Our two middle numbers are $47$ and $50$ .
Let's add them together and divide by $2$ to find their average.

STEP 8

$\frac{47 + 50}{2} = \frac{97}{2} = 48.5$

STEP 9

So, our median is $48.5$ !

STEP 10

The sample median is $48.5$ .

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Studdy Solution

STEP 1

What is this asking? Find the middle number in a set of numbers after putting them in order. Watch out! Don't forget to sort the numbers first!Also, remember the special rule for finding the median when there's an even number of values.

STEP 2

1. Sort the data2. Find the middle

STEP 3

Alright, let's **wrangle these numbers**!We've got a bunch of numbers here, and to find the median, we need to put them in order from smallest to largest.It's like lining up for recess, smallest in the front, tallest in the back!

STEP 4

So, our **unsorted** list is: 68,32,28,59,45,47,52,55,47,5068, 32, 28, 59, 45, 47, 52, 55, 47, 5068,32,28,59,45,47,52,55,47,50.Let's **sort** them!

STEP 5

And the **sorted** list is: 28,32,45,47,47,50,52,55,59,6828, 32, 45, 47, 47, 50, 52, 55, 59, 6828,32,45,47,47,50,52,55,59,68.Look at that, nice and organized!

STEP 6

Now, the **median** is the middle number.It's like the VIP in the middle of the line.Since we have an **even** number of values (101010 values), we need to find the **average** of the two middle numbers.It's like having *two* VIPs!

STEP 7

Our two middle numbers are 474747 and 505050.Let's **add them together** and **divide by** 222 to find their average.

STEP 8

47+502=972=48.5\frac{47 + 50}{2} = \frac{97}{2} = 48.5247+50​=297​=48.5

STEP 9

So, our **median** is 48.548.548.5!

STEP 10

The sample median is 48.548.548.5.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? Find the middle number in a set of numbers after putting them in order. Watch out! Don't forget to sort the numbers first!
Also, remember the special rule for finding the median when there's an even number of values.

1. Sort the data
2. Find the middle

Alright, let's wrangle these numbers!
We've got a bunch of numbers here, and to find the median, we need to put them in order from smallest to largest.
It's like lining up for recess, smallest in the front, tallest in the back!

So, our unsorted list is: $68, 32, 28, 59, 45, 47, 52, 55, 47, 50$ .
Let's sort them!

And the sorted list is: $28, 32, 45, 47, 47, 50, 52, 55, 59, 68$ .
Look at that, nice and organized!

Now, the median is the middle number.
It's like the VIP in the middle of the line.
Since we have an even number of values ( $10$ values), we need to find the average of the two middle numbers.
It's like having two VIPs!

Our two middle numbers are $47$ and $50$ .
Let's add them together and divide by $2$ to find their average.

$\frac{47 + 50}{2} = \frac{97}{2} = 48.5$

So, our median is $48.5$ !

The sample median is $48.5$ .