2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the density of each sample. His results are shown below.
Sand Sample
1
2
3
Mass (8)
10
15
20
Volume (ml)
4.5
5.6
6.7
Density (g/mL)
2.2
2.7
3.0
How do you know just by looking at the "Density" column that the student made errors in his investigation?

9514 1404 393

  we expect the results to have less spread

Step-by-step explanation:

The spread between the maximum and minimum is almost 1/3 of the average of those values (0.8 vs 2.6). We expect repeated measurements of the same physical value to be well within 5% of their mean if they are done carefully.

The investigation has errors because the spread is too great.

In order for the room to be a square, all sides must be the same length. In order to determine if all sides are equal, you need to use the formula A2 +B2 = C2 where 2 is the power that A, B, and C are being raised to. You would the have A2 + 13(2) = 15.26(2). If you do not want to solve for that just plug in so that both sides are equal 13(2) + 13(2) = C2
13(2) + 13(2) =338
Then you have to square that value to find the answer. The square root of 338 is 18.384. That is not the value of the corner to corner diagonal, therefore the answer is that the shape is not a square.