Yes.
The greater the number of significant figures, the greater the precision. Each significant figure increases the precision by a factor of ten. For example pi = 3.14 is accurate to 3 significant figures, while pi = 3.14159 with 6 significant figures is a more accurate representation.
"precision, robust, classic"
The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.
This depends on what you mean by smallest. The smallest four-digit whole number is 1,000; the smallest four-digit real number is .0001 (1/10,000); the smallest four-digit integer is -9,999.
diameter at breast height (DBH)
Precision Measurement Equipment Laboratory Technician
Precision and accuracy do not mean the same thing in science. Precision refers to how well experimental data and values agree with each other in multiple tests. Accuracy refers to the correctness of a single measurement. It is determined by comparing the measurement against the true or accepted value.
precision is taking place
Precision refers to how close the values in a set of data are with respect to each other. An indication of precision is given by the mean deviation from the mean of a set of readings (Standard deviation also will do): Mean deviation from mean = Summation (Modulus(X - mean)) / n where X denotes the individual readings and n is the number of readings taken. A small mean deviation from mean indicates high precision.
In mathematics, the word precision is used to describe the total number of digits (the number of significant figures) used in a number to approximate another number. For example, given a number 145.37823 the number 145 approximates the previous number with a precision of 3, and 145.3782 approximates it with a precision of 7. In other words, in maths, at least arithmetically speaking, precision is just another word for significant figures. In statistics, precision is usually a measurement of how well a measurement system gives consistent results, and is the reciprocal of variance.
If you are trying to ask "what does precision in science mean" then I can begin to answer your question. Precision in measurement is a way of deciding how accurate a measurement is. If I were to measure my height with a ruler stick and a pencil against a wall I would expect the measurement to be accurate to a few millimetres. This is usually expressed in scientific terms as "plus or minus" so many millimetres. It is considered unscientific and unfair to describe measurements you may make in scientific work to a greater precision than you can actually make. I am about 5.9 metres (+- 1 cm) but it would be inaccurate and unscientific to say that I was 5.9354 metres tall. JCF
what does precision mean
Precision means about the same thing as accuracy. It defines the possible or actual deviation from the exact answer. For example, the precision of a numerical value depends on how many significant digits are used, and the possible deviation in measurement from the smallest value given.
To measure uncertainty, you need to know the precision of the instrument, which refers to the smallest unit that an instrument can measure. A measurement can then be represented with its associated uncertainty, such as X = (5 +/- 1) cm. In this case, the actual value can deviate from the mean (5cm) by 1cm, so the minimum and maximum values ate 4cm and 6cm respectively. The percentage uncertainty is calculated by (absolute uncertainty / mean value) * 100%.
Accuracy and precision mean the exactly the same thing in this context.
Both accuracy and precision are important to scientific measurement. I'll try to explain the difference with a couple of illustrations. I should start by saying, sometimes the words are used interchangeably but they shouldn't be. I consider precision to mean resolution. That is how fine/small a reading you can get.Assume an electronic thermometer (digital display) can display answers to the nearest one hundredth of a degree. But, the thermometer isn't able to measure with that accurately. Maybe it's only accurate to the nearest whole degree. In this case the precision is greater than is supported by the accuracy of the device.Now take the opposite case where the thermometer is able to measure temperature accurately to one hundredth of a degree but the instrument can only display whole degrees. In this case the precision does not support the accuracy.Ideally the accuracy and precision of an instrument are the same but often that's not the case.
Accuracy is how close you are to your expected value and precision is how close together your experimental values are.