Math / Data & Statistics

QuestionQuestion Watch V
Find the median and mean of the data set below: $47,15,6,49,45,30$
Answer Attempt 1 out of 2
Median = $\square$ Mean = $\square$ Submit Answer

Studdy Solution

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 $6, 15, 30, 45, 47, 49$ .
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 ( $6$ values), the median is the average of the two middle numbers.
In our sorted list, the two middle numbers are $30$ and $45$ .

STEP 5

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

STEP 6

Now, divide by 2 to find the median: $75 \div 2 = 37.5$ .
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: $6 + 15 + 30 + 45 + 47 + 49 = 192$ .

STEP 9

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

STEP 10

Median = $37.5$ Mean = $32$

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QuestionQuestion Watch V
Find the median and mean of the data set below: $47,15,6,49,45,30$
Answer Attempt 1 out of 2
Median = $\square$ Mean = $\square$ Submit Answer

Studdy Solution

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 $6, 15, 30, 45, 47, 49$ .
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 ( $6$ values), the median is the average of the two middle numbers.
In our sorted list, the two middle numbers are $30$ and $45$ .

STEP 5

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

STEP 6

Now, divide by 2 to find the median: $75 \div 2 = 37.5$ .
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: $6 + 15 + 30 + 45 + 47 + 49 = 192$ .

STEP 9

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

STEP 10

Median = $37.5$ Mean = $32$

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QuestionQuestion Watch VFind the median and mean of the data set below: 47,15,6,49,45,3047,15,6,49,45,3047,15,6,49,45,30Answer Attempt 1 out of 2Median = □\square□ Mean = □\square□ Submit Answer

Studdy Solution

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 Data2. Calculate the Median3. Calculate the Mean

STEP 3

Alright, let's **wrangle these numbers**!We've got 6,15,30,45,47,496, 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 (666 values), the median is the average of the two middle numbers.In our sorted list, the two middle numbers are 303030 and 454545.

STEP 5

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

STEP 6

Now, **divide by 2** to find the median: 75÷2=37.575 \div 2 = 37.575÷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 = 1926+15+30+45+47+49=192.

STEP 9

We have 666 numbers, so we **divide the sum by 6**: 192÷6=32192 \div 6 = 32192÷6=32.Our **mean is 32**!

STEP 10

Median = 37.537.537.5 Mean = 323232

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.

QuestionQuestion Watch V
Find the median and mean of the data set below: $47,15,6,49,45,30$
Answer Attempt 1 out of 2
Median = $\square$ Mean = $\square$ Submit Answer

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

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

Since we have an even number of values ( $6$ values), the median is the average of the two middle numbers.
In our sorted list, the two middle numbers are $30$ and $45$ .

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

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

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

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

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

Median = $37.5$ Mean = $32$