"each member in 2 separate lab groups (group a and group
b.performed measurements using rulers, and their data is as follows. group a data: 320 cm, 320 cm, 330 cm, 310 cm group b data: 328 cm, 321 cm, 325 cm, 326 cm if the actual length is 321 cm, which group was more accurate and which group was more precise?"

Question

04-08-2018
Mathematics

contestada

"each member in 2 separate lab groups (group a and group
b.performed measurements using rulers, and their data is as follows. group a data: 320 cm, 320 cm, 330 cm, 310 cm group b data: 328 cm, 321 cm, 325 cm, 326 cm if the actual length is 321 cm, which group was more accurate and which group was more precise?"

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aachen aachen · Answer 1 · 2018-08-15T17:07:55+02:00

Given is group A = {320 cm, 320 cm, 330 cm, 310 cm} and group B = {328 cm, 321 cm, 325 cm, 326 cm}

Accuracy of any data means how much close is the measurement values to actual value. We can find mean of measurements in each group and check which group's mean is closest to actual value.

mean of group A = 320 cm and mean of group B = 325 cm.

Actual length is 321 cm.

It is clearly visible that mean of group A i.e. 320 is closest to actual value 321.

Hence, group A is more accurate.

Precision of any data means how much close is the measurement values to each other. We can find the standard deviation of measurements in each group and check which group has lower standard deviation value.

standard deviation of group A = 7.07 and standard deviation of group B = 2.55

It is clearly visible that group B has lower standard deviation as compared to group A.

Hence, group B is more precise.