## What is The Greatest possible Error?

The greatest feasible error (GPE) is the largest lot a ballpark number can miss the mark.

You are watching: Find the greatest possible error for the measurement 4.7 cm

It’s one half of the measuring unit you space using. because that example:

If measuring in centimeters, the GPE is 1/2 cm.…or in liters, the GPE is 1/2 L.If measure in feet, the GPE is 1/2 that a foot.…or in tenths of a meter, the GPE is 1/2 that tenth the a meter (that’s 1/2 * 1/10 m = 0.05 m).

Note: “Error” in statistics doesn’t average that it’s wrong; the just means it’s imprecise.

## Ballparking and GPE

The greatest feasible error is a officially term for something we perform every day: ballparking (i.e. Estimating). Because that example, you might say “I’m about 5’8″.” that doesn’t median you’re exactly 5’8″. It’s for sure to to speak you might be a half inch one of two people way. The half-inch is the GPE (because you’re utilizing inches), for this reason you’re already using the GPE — yet may not recognize it!

## How to find the Greatest possible Error — Examples

This stick guy is around 250 pixels tall. Together we are measuring in pixels, the GPE is 1/2 pixel.

Example problem #1: What is the GPE because that 5 meters?.

Step 1: Rephrase the question by placing the native “about” in front of the number:What is the GPE for about 5 meters?. This must make the sentence sound an ext familiar (i.e. “It’s around 5 meters”).

Step 2: identify the unit measurement.We space measuring in “meters.”

Step 3: main point the measurement in step 2 through one half:“meter” * 1/2 = 1/2 meter.

The GPE because that 5 meter is 1/2 meter.

That’s it!

Example difficulty #2: What is the GPE because that 3.9 inches?.

Step 1: Rephrase the inquiry by placing the word “about” in front of the number:What is the GPE for about 3.9 inches?. This need to make the sentence sound an ext familiar (i.e. “It’s about 3.9 inches”).

Step 2: determine the unit measurement.We are measuring in “inches.”

Step 3: main point the measure in action 2 through one half:“Inches” * 1/2 = 1/2 inch.

The GPE because that 3.9 customs is 1/2 inch.

That’s it!

Example problem #3 (Trick Question!): What is the GPE for 9.76 cm?.

Step 1: Rephrase the concern by placing the indigenous “about” in front of the number:What is the GPE because that about 9.76 cm?. This should make the sentence sound an ext familiar (i.e. “It’s around 9.76 cm”).But!We room measuring in centimeters, but an alert there’s a couple of decimal places. We aren’t actually measuring in cm, we’re measure in hundredths of a centimeter. If you have actually decimal places, climate rephrase the explain in words, not numbers.“It’s around 9.76 cm” in native is “It’s around 9 cm and also 76 hundredths.”

Step 2: determine the unit measurement.We space measuring in percentage percent of a centimeter (in numbers, that’s 1/100ths).

Step 3: main point the measure in step 2 by one half:1/2 * 1/100th centimeter = 0.005 centimeter .

The GPE because that 9.76 centimeter is 0.005 cm.

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That’s it!

CITE THIS AS:Stephanie Glen. "Greatest possible Error: straightforward Definition, step by action Examples" indigenous stclairdrake.net: elementary Statistics for the rest of us! https://www.stclairdrake.net/greatest-possible-error/
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