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Accuracy and Precision

For the following, determine whether the information is accurate, precise, both or neither.

1. During gym class, four students decided to see if they could beat the norm of 45 sit-ups in a minute. The first student did 64 sit-ups, the second did 69, the third did 65, and the fourth did 67.

2. The average score for the 5th grade math test is 89.5. The top 5th graders took the test and scored 89,

93, 91 and 87.

3. Yesterday the temperature was 89 �F, tomorrow it�s supposed to be 88 �F and the next day it�s supposed to be 90 �F, even though the average for September is only 75 �F degrees!

4. Four friends decided to go out and play horseshoes. They took a picture of their results shown to the right:

5. A local grocery store was holding a contest to see who could most closely guess the number of pennies that they had inside a large jar. The first six people guessed the numbers 735, 209, 390, 300, 1005 and

689. The grocery clerk said the jar actually contains 568 pennies.

Accuracy and Precision

For the following, determine whether the information is accurate, precise, both or neither.

1. During gym class, four students decided to see if they could beat the norm of 45 sit-ups in a minute. The first student did 64 sit-ups, the second did 69, the third did 65, and the fourth did 67.

2. The average score for the 5th grade math test is 89.5. The top 5th graders took the test and scored 89,

93, 91 and 87.

3. Yesterday the temperature was 89 �F, tomorrow it�s supposed to be 88 �F and the next day it�s supposed to be 90 �F, even though the average for September is only 75 �F degrees!

4. Four friends decided to go out and play horseshoes. They took a picture of their results shown to the right:

5. A local grocery store was holding a contest to see who could most closely guess the number of pennies that they had inside a large jar. The first six people guessed the numbers 735, 209, 390, 300, 1005 and

689. The grocery clerk said the jar actually contains 568 pennies.

Answer 1

Accuracy refers to the closeness of a measurement to the true value, while precision is about the repeatability of measurements. The student examples show diverse cases where results can be accurate, precise, both, or neither. Without the actual value or other measurements, assessment of accuracy and precision is often not possible.

Step-by-step explanation:

The terms accuracy and precision have distinct meanings in science. Accuracy refers to how close a measurement is to the correct or accepted value. In contrast, precision indicates how close a set of measurements are to each other, demonstrating the consistency of the measurements.

1. The gym class students' results are precise because their sit-up counts are close to each other but we don't have a 'true value' with which to assess accuracy.
2. The 5th graders' math test scores are both precise and accurate as they are close to each other and to the average score of 89.5.
3. The temperatures are neither precise nor accurate, as they are not close to each other (relative to the usual fluctuation of daily temperatures) nor close to the average September temperature of 75 °F.
4. Without the results shown to the right, we cannot assess the accuracy or precision of the horseshoe game.
5. The guesses for the number of pennies are neither accurate nor precise; the values are not close to one another and do not closely approximate the actual number of pennies (568).

Answer 2

1. Precise

2.Both

3.Precise

5.Neither

Step-by-step explanation:

Accuracy is the closeness of a measured value to a standard value.

Precision is the closeness of two or more measurements to each other.

1.The norm is 45 sit-ups in a minute.The students did, 64, 69,65 and 67. Values are not accurate compared to standard value 45.

Values are precise

Answer--Precise

2. Average score is 89.5

Scores are 89,93,91,87

Values are precise i.e a difference of 2 from each score

Values are accurate because the average score is 90 thus compared to the known average score of 89.5 they are accurate.

Answer-Both

3. Yesterday temperature=89

Tomorrow=88

Next day=90

Average =75

Values are precise i.e. difference of ± 1°

Values are not accurate compared to the average temperatures of 75 F

Answer---Precise

5. The jar contained 568 pennies

The 6 people guessed the numbers as

735,209,390,300,1005, 689

The values are not precise

The values are not accurate

Answer---Neither