Math / Data & Statistics

QuestionA scatter graph is being plotted for this data. \begin{tabular}{c|ccccc} Time (seconds) & 71 & 135 & 14 & 116 & 58 \\ \hline Height $(\mathrm{m})$ & 29 & 37 & 6 & 31 & 18 \end{tabular}
Time will be plotted on the horizontal axis below. If the best scale is used to plot the data, what are the values of $A$ and $B$ ?

Studdy Solution

STEP 1

What is this asking? We need to find the best numbers for the horizontal axis of a scatter plot, given some time values. Watch out! Don't just pick any numbers!
We need a scale that fits all the time values nicely.

STEP 2

1. Find the smallest time.
2. Find the largest time.
3. Choose a nice round number less than the smallest time.
4. Choose a nice round number greater than the largest time.

STEP 3

Let's scan our time values: $71, 135, 14, 116, 58$ .
The smallest time is clearly $14$ seconds.

STEP 4

Looking at the same time values: $71, 135, 14, 116, 58$ , the largest time is $135$ seconds.

STEP 5

Our smallest time is $14$ seconds.
We want a nice, round number smaller than this. $0$ is a great choice!
It's easy to work with and makes the graph start at a clear point.
So, $A = \mathbf{0}$ .

STEP 6

Our largest time is $135$ seconds.
We need a number bigger than this, but not too much bigger.
Let's think about multiples of $10$ . $140$ would work, but $150$ gives a bit more breathing room and is still a nice round number.
So, $B = \mathbf{150}$ .

STEP 7

$A = 0$ and $B = 150$ .
Our horizontal axis will go from $0$ to $150$ , perfectly fitting all our time values!

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Studdy Solution

STEP 1

What is this asking? We need to find the best numbers for the horizontal axis of a scatter plot, given some time values. Watch out! Don't just pick any numbers!
We need a scale that fits all the time values nicely.

STEP 2

1. Find the smallest time.
2. Find the largest time.
3. Choose a nice round number less than the smallest time.
4. Choose a nice round number greater than the largest time.

STEP 3

Let's scan our time values: $71, 135, 14, 116, 58$ .
The smallest time is clearly $14$ seconds.

STEP 4

Looking at the same time values: $71, 135, 14, 116, 58$ , the largest time is $135$ seconds.

STEP 5

Our smallest time is $14$ seconds.
We want a nice, round number smaller than this. $0$ is a great choice!
It's easy to work with and makes the graph start at a clear point.
So, $A = \mathbf{0}$ .

STEP 6

Our largest time is $135$ seconds.
We need a number bigger than this, but not too much bigger.
Let's think about multiples of $10$ . $140$ would work, but $150$ gives a bit more breathing room and is still a nice round number.
So, $B = \mathbf{150}$ .

STEP 7

$A = 0$ and $B = 150$ .
Our horizontal axis will go from $0$ to $150$ , perfectly fitting all our time values!

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Studdy Solution

STEP 1

What is this asking? We need to find the best numbers for the horizontal axis of a scatter plot, given some time values. Watch out! Don't just pick any numbers!We need a scale that fits *all* the time values nicely.

STEP 2

1. Find the smallest time.2. Find the largest time.3. Choose a nice round number less than the smallest time.4. Choose a nice round number greater than the largest time.

STEP 3

Let's **scan** our time values: 71,135,14,116,5871, 135, 14, 116, 5871,135,14,116,58.The **smallest** time is clearly 141414 seconds.

STEP 4

Looking at the same time values: 71,135,14,116,5871, 135, 14, 116, 5871,135,14,116,58, the **largest** time is 135135135 seconds.

STEP 5

Our smallest time is 141414 seconds.We want a nice, round number *smaller* than this. 000 is a great choice!It's easy to work with and makes the graph start at a clear point.So, A=0A = \mathbf{0}A=0.

STEP 6

Our largest time is 135135135 seconds.We need a number *bigger* than this, but not *too* much bigger.Let's think about multiples of 101010. 140140140 would work, but 150150150 gives a bit more breathing room and is still a nice round number.So, B=150B = \mathbf{150}B=150.

STEP 7

A=0A = 0A=0 and B=150B = 150B=150.Our horizontal axis will go from 000 to 150150150, perfectly fitting all our time values!

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? We need to find the best numbers for the horizontal axis of a scatter plot, given some time values. Watch out! Don't just pick any numbers!
We need a scale that fits all the time values nicely.

1. Find the smallest time.
2. Find the largest time.
3. Choose a nice round number less than the smallest time.
4. Choose a nice round number greater than the largest time.

Let's scan our time values: $71, 135, 14, 116, 58$ .
The smallest time is clearly $14$ seconds.

Looking at the same time values: $71, 135, 14, 116, 58$ , the largest time is $135$ seconds.

Our smallest time is $14$ seconds.
We want a nice, round number smaller than this. $0$ is a great choice!
It's easy to work with and makes the graph start at a clear point.
So, $A = \mathbf{0}$ .

Our largest time is $135$ seconds.
We need a number bigger than this, but not too much bigger.
Let's think about multiples of $10$ . $140$ would work, but $150$ gives a bit more breathing room and is still a nice round number.
So, $B = \mathbf{150}$ .

$A = 0$ and $B = 150$ .
Our horizontal axis will go from $0$ to $150$ , perfectly fitting all our time values!