Background image of landing

Unrivalled
Education
Solutions for your
Family

How do you determine the accuracy of a measurement?

To evaluate the accuracy of a measurement, you must compare it against a known standard or true value.

Accuracy is defined as the degree to which a measured value aligns with the actual or true value. For instance, if you measure the length of a table and the true length is 22 meters, an accurate measurement would be one that is very close to 22 meters. To assess accuracy effectively, you typically require a reference or standard value for comparison. This reference may come from a highly precise instrument or a value established by consensus among experts.

One common method to quantify accuracy is by calculating the percentage error. The formula for percentage error is given by:

Percentage Error=(Measured ValueTrue ValueTrue Value)×100\text{Percentage Error} = \left( \frac{|\text{Measured Value} - \text{True Value}|}{\text{True Value}} \right) \times 100

For example, if you measure the length of the table as 1.951.95 meters, the percentage error can be calculated as follows:

Percentage Error=(1.952.002.00)×100=2.5%\text{Percentage Error} = \left( \frac{|1.95 - 2.00|}{2.00} \right) \times 100 = 2.5\%

A smaller percentage error signifies a more accurate measurement.

Another approach to enhance accuracy is by taking repeated measurements. By measuring multiple times and calculating the average of these values, you can mitigate random errors and arrive at a figure that is closer to the true value. If your repeated measurements consistently yield results near the true value, they can be considered accurate.

In summary, accuracy pertains to how closely your measurement approaches the true value. You can determine accuracy by comparing your measurement to a known standard, calculating the percentage error, and utilizing repeated measurements to minimize variability.

Answered by: Dr. Angela Davis
GCSE Maths Tutor
Medal Icon

100%

Globe Icon

Global

Crest Icon

97%

Professional Tutors

International Tuition

Independent School Entrance Success

All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject.

Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere.

Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey.

Medal Icon

100%

Professional Tutors

All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject.

Globe Icon

Global

International Tuition

Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere.

Crest Icon

97%

Independent School Entrance Success

Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey.

Book a free
30-minute consultation
session

At the Beyond Tutors we recognise that no two students are the same. 

That’s why we’ve transcended the traditional online tutoring model of cookie-cutter solutions to intricate educational problems. Instead, we devise a bespoke tutoring plan for each individual student, to support you on your path to academic success.

To help us understand your unique educational needs, we provide a free 30-minute consultation with one of our founding partners, so we can devise the tutoring plan that’s right for you.

To ensure we can best prepare for this consultation, we ask you to fill out the short form below.

Hire a Tutor

All the form fields are optional, but we ask you to provide as much information as possible so that we are in a better position to quickly meet your tutoring requirements.

Still have questions?
Let's get in touch