Question

Precision Problems:

Answer 1

Answer:

$Precision = 2.70 \± 0.1\ cm$

Explanation:

Given

The data in the table

Required

Follow the steps appended to the question;

Step 1: Calculate the Mean or Average

Mean = Summation of lengths divided by number of teams;

$Mean = \frac{2.65 + 2.75 + 2.80 + 2.77 + 2.60 + 2.65 + 2.68}{7}\ cm$

$Mean = \frac{18.9}{7}\ cm$

$Mean = 2.70\ cm$

Step 2: Get The Range

$Range = Highest - Lowest$

$Range = 2.80cm - 2.60cm$

$Range = 0.2\ cm$

Step 3: Divide Range by 2

$Approximate\ Range = \frac{1}{2}Range$

$Approximate\ Range = \frac{1}{2} * 0.2\ cm$

$Approximate\ Range = 0.1\ cm$

Step 4: Determine the Precision

$Precision = Average \± Approximate\ Range$

Substitute 2.70 for Average and 0.1 for Approximate Range

$Precision = 2.70 \± 0.1\ cm$