Precision vs Accuracy & Random Error vs Systematic Error

Which of these is NOT true for systematic errors?

• They arise due to errors in the measuring instruments used.

• Repeating the observations or increasing the sample size can eliminate them

• They are reproducible inaccuracies that are consistently in the same direction.

• They arise from the design of the study.

Which of these is NOT true for random errors?

• They are difficult to detect.

• They do not arise from the design of the study.

• They are less likely for small sample sizes.

Systematic errors lead to a lack of:

• accuracy in the measurement.

• significant digits in the measurement.

• precision in the measurement.

• gradation of the measuring instrument

Random errors lead to a lack of:

• accuracy in the measurement.

• significant digits in the measurement.

• precision in the measurement.

• gradation of the measuring instrument

Repeated measurements of a quantity can reduce the effects of

• both random errors and systematic errors

• neither random errors nor random errors

• random errors

• systematic errors

How close a measurement is to the true value is called..

• Accuracy

• Precision

• Significant

• Estimate

A set of data are all close to each other, but they are not close to the actual value.  This set of data can be described as...

• accurate
• precise
• both precise and accurate

A set of data are not close to each other, but the average of the data is very close to the actual value.  This set of data can be described as...

• accurate
• precise
• both precise and accurate

Tags

CCSS.6.NS.C.8

Two students A and B measured the diameter of a wire in mm.

Data A: 1.57, 1.58, 1.43, 1.50, 1.42 Average of data A: 1.50

Data B: 1.60, 1.59, 1.59, 1.60, 1.62 Average of data B: 1.60

Actual diameter is known to be 1.50 mm.

Whose data is more precise?

• A, because the values in his data are close to each other

• B, because the values in his data are close to each other

• A, because the average value is close to the actual value

• B, because the average value is close to the actual value

Two students A and B measured the diameter of a wire in mm.

Data A: 1.57, 1.58, 1.43, 1.50, 1.42 Average of data A: 1.50

Data B: 1.60, 1.59, 1.59, 1.60, 1.62 Average of data B: 1.60

Actual diameter is known to be 1.50 mm.

Whose data is more accurate?

• A, because the values in his data are close to each other

• B, because the values in his data are close to each other

• A, because the average value is close to the actual value

• B, because the average value is close to the actual value