Math / Data & Statistics

QuestionWhich day was the weather forecast most accurate? \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Forecast vs Actual Temperature } \\ \hline Day & \begin{tabular}{c} Degrees above $(+)$ or \\ below $(-)$ forecast \end{tabular} \\ \hline Monday & +4 \\ \hline Tuesday & -6 \\ \hline Wednesday & +7 \\ \hline Thursday & -2 \\ \hline \hline \end{tabular} Monday Tuesday Wednesday Thursday

Studdy Solution

STEP 1

What is this asking? Which day's actual temperature was closest to the forecasted temperature? Watch out! Don't just look at the plus and minus signs!
We need to consider how far the actual temperature was from the predicted temperature.

STEP 2

1. Find the difference
2. Compare the differences

STEP 3

Alright, let's decode this weather puzzle!
We're given how much the actual temperature differed from the forecast.
A positive number means the actual temperature was higher than predicted, and a negative number means it was lower.

STEP 4

Monday's difference is $+4$ degrees.
This means the actual temperature was $4$ degrees above the forecast.

STEP 5

Tuesday's difference is $-6$ degrees.
So, the actual temperature was $6$ degrees below the forecast.

STEP 6

Wednesday's difference is $+7$ degrees.
Meaning the actual temperature was a whole $7$ degrees above what was predicted!

STEP 7

Thursday's difference is $-2$ degrees.
The actual temperature was $2$ degrees below the forecast.

STEP 8

Now, we want to find the day where the actual temperature was closest to the predicted temperature.
This means we're looking for the smallest difference, regardless of whether it was above or below the prediction.

STEP 9

Let's look at the absolute values of the differences.
The absolute value of a number is just its distance from zero, which means we ignore the plus or minus sign.

STEP 10

For Monday, the absolute value of $+4$ is $4$ .

STEP 11

For Tuesday, the absolute value of $-6$ is $6$ .

STEP 12

For Wednesday, the absolute value of $+7$ is $7$ .

STEP 13

For Thursday, the absolute value of $-2$ is $2$ .

STEP 14

The smallest absolute value is $2$ , which corresponds to Thursday!

STEP 15

Thursday's forecast was the most accurate, as the actual temperature was only $2$ degrees away from the predicted temperature.

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Studdy Solution

STEP 1

What is this asking? Which day's actual temperature was closest to the forecasted temperature? Watch out! Don't just look at the plus and minus signs!
We need to consider how far the actual temperature was from the predicted temperature.

STEP 2

1. Find the difference
2. Compare the differences

STEP 3

Alright, let's decode this weather puzzle!
We're given how much the actual temperature differed from the forecast.
A positive number means the actual temperature was higher than predicted, and a negative number means it was lower.

STEP 4

Monday's difference is $+4$ degrees.
This means the actual temperature was $4$ degrees above the forecast.

STEP 5

Tuesday's difference is $-6$ degrees.
So, the actual temperature was $6$ degrees below the forecast.

STEP 6

Wednesday's difference is $+7$ degrees.
Meaning the actual temperature was a whole $7$ degrees above what was predicted!

STEP 7

Thursday's difference is $-2$ degrees.
The actual temperature was $2$ degrees below the forecast.

STEP 8

Now, we want to find the day where the actual temperature was closest to the predicted temperature.
This means we're looking for the smallest difference, regardless of whether it was above or below the prediction.

STEP 9

Let's look at the absolute values of the differences.
The absolute value of a number is just its distance from zero, which means we ignore the plus or minus sign.

STEP 10

For Monday, the absolute value of $+4$ is $4$ .

STEP 11

For Tuesday, the absolute value of $-6$ is $6$ .

STEP 12

For Wednesday, the absolute value of $+7$ is $7$ .

STEP 13

For Thursday, the absolute value of $-2$ is $2$ .

STEP 14

The smallest absolute value is $2$ , which corresponds to Thursday!

STEP 15

Thursday's forecast was the most accurate, as the actual temperature was only $2$ degrees away from the predicted temperature.

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Studdy Solution

STEP 1

What is this asking? Which day's actual temperature was *closest* to the forecasted temperature? Watch out! Don't just look at the plus and minus signs!We need to consider how *far* the actual temperature was from the predicted temperature.

STEP 2

1. Find the difference2. Compare the differences

STEP 3

Alright, let's **decode** this weather puzzle!We're given how much the actual temperature differed from the forecast.A positive number means the actual temperature was *higher* than predicted, and a negative number means it was *lower*.

STEP 4

Monday's difference is +4+4+4 degrees.This means the actual temperature was 444 degrees *above* the forecast.

STEP 5

Tuesday's difference is −6-6−6 degrees.So, the actual temperature was 666 degrees *below* the forecast.

STEP 6

Wednesday's difference is +7+7+7 degrees.Meaning the actual temperature was a whole 777 degrees *above* what was predicted!

STEP 7

Thursday's difference is −2-2−2 degrees.The actual temperature was 222 degrees *below* the forecast.

STEP 8

Now, we want to find the day where the actual temperature was *closest* to the predicted temperature.This means we're looking for the *smallest* difference, regardless of whether it was above or below the prediction.

STEP 9

Let's look at the *absolute values* of the differences.The absolute value of a number is just its distance from zero, which means we ignore the plus or minus sign.

STEP 10

For Monday, the absolute value of +4+4+4 is 444.

STEP 11

For Tuesday, the absolute value of −6-6−6 is 666.

STEP 12

For Wednesday, the absolute value of +7+7+7 is 777.

STEP 13

For Thursday, the absolute value of −2-2−2 is 222.

STEP 14

The smallest absolute value is 222, which corresponds to Thursday!

STEP 15

Thursday's forecast was the most accurate, as the actual temperature was only 222 degrees away from the predicted temperature.

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Studdy solves anything!

Start learning now

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What is this asking? Which day's actual temperature was closest to the forecasted temperature? Watch out! Don't just look at the plus and minus signs!
We need to consider how far the actual temperature was from the predicted temperature.

1. Find the difference
2. Compare the differences

Alright, let's decode this weather puzzle!
We're given how much the actual temperature differed from the forecast.
A positive number means the actual temperature was higher than predicted, and a negative number means it was lower.

Monday's difference is $+4$ degrees.
This means the actual temperature was $4$ degrees above the forecast.

Tuesday's difference is $-6$ degrees.
So, the actual temperature was $6$ degrees below the forecast.

Wednesday's difference is $+7$ degrees.
Meaning the actual temperature was a whole $7$ degrees above what was predicted!

Thursday's difference is $-2$ degrees.
The actual temperature was $2$ degrees below the forecast.

Now, we want to find the day where the actual temperature was closest to the predicted temperature.
This means we're looking for the smallest difference, regardless of whether it was above or below the prediction.

Let's look at the absolute values of the differences.
The absolute value of a number is just its distance from zero, which means we ignore the plus or minus sign.

For Monday, the absolute value of $+4$ is $4$ .

For Tuesday, the absolute value of $-6$ is $6$ .

For Wednesday, the absolute value of $+7$ is $7$ .

For Thursday, the absolute value of $-2$ is $2$ .

The smallest absolute value is $2$ , which corresponds to Thursday!

Thursday's forecast was the most accurate, as the actual temperature was only $2$ degrees away from the predicted temperature.