mike and teegan each measured the volume of the 16 - ounce bottle three times. they recorded their…

mike and teegan each measured the volume of the 16 - ounce bottle three times. they recorded their measurements as shown. mike: 16.4 oz, 15.2 oz, 15.8 oz teegan: 16.34 oz, 16.59 oz, 15.13 oz which statement is true? o mikes measurements are more precise and more accurate. o teegans measurements are more precise and more accurate. o mikes measurements are more precise, but teegans measurements are more accurate. o mikes measurements are more accurate, but teegans measurements are more precise.

mike and teegan each measured the volume of the 16 - ounce bottle three times. they recorded their measurements as shown. mike: 16.4 oz, 15.2 oz, 15.8 oz teegan: 16.34 oz, 16.59 oz, 15.13 oz which statement is true? o mikes measurements are more precise and more accurate. o teegans measurements are more precise and more accurate. o mikes measurements are more precise, but teegans measurements are more accurate. o mikes measurements are more accurate, but teegans measurements are more precise.

Answer

Explanation:

Step1: Understand precision and accuracy

Precision refers to how close the measurements are to each other. Accuracy refers to how close the measurements are to the true - value (16 ounces in this case).

Step2: Analyze Mike's measurements

Mike's measurements are 16.4 oz, 15.2 oz, 15.8 oz. The differences between his measurements are relatively large. For example, the difference between 16.4 and 15.2 is 1.2 oz.

Step3: Analyze Teegan's measurements

Teegan's measurements are 16.34 oz, 16.59 oz, 15.13 oz. The differences between her measurements are also relatively large. For example, the difference between 16.59 and 15.13 is 1.46 oz. But looking at the proximity to 16 ounces:

  • For Mike, the average of his measurements is $\frac{16.4 + 15.2+15.8}{3}=\frac{47.4}{3}=15.8$ oz.
  • For Teegan, the average of her measurements is $\frac{16.34 + 16.59+15.13}{3}=\frac{48.06}{3}=16.02$ oz. Since 16.02 is closer to 16 than 15.8, Teegan's measurements are more accurate. Also, the spread of Teegan's measurements is relatively smaller compared to Mike's in terms of the overall range, so Teegan's measurements are more precise.

Answer:

Teegan's measurements are more precise and more accurate.