QUESTION IMAGE
Question
- for each of the following experiments, choose \scatter plot\ or \bar graph\ as the most appropriate way to display the data. justify your answer.
a. students heated oil on a hot plate at the #4 setting for different amounts of time. they wanted to answer the question \how long do you need to heat an oil bath to reach a given temperature?\
| volume oil (ml) | hot plate setting | initial temp. of oil (°c) | time heated (min) | final temp. of oil (°c) |
|---|---|---|---|---|
| 250 | #4 | 21 | 5 | 30 |
| 250 | #4 | 21 | 10 | 38 |
| 250 | #4 | 21 | 15 | 47 |
| 250 | #4 | 21 | 20 | 57 |
b. students measured the height of each student in class. they wanted to answer the question \what is the most common height among 10th grade students?\
| height range | number of students |
|---|---|
| 4 1\ to 4 6\ | 3 |
| 4 7\ to 5 0\ | 5 |
| 5 1\ to 5 6\ | 9 |
| 5 7\ to 6 0\ | 3 |
| over 6 0\ | 1 |
c. the fish and wildlife agency measured the size of pacific salmon for 1 year and recorded the average weight for each species.
| salmon species | average weight (lbs) |
|---|---|
| sockeye | 8 |
| silver | 12 |
| chum | 15 |
| humpback | 5 |
d. the national oceanic and atmospheric administration measured the pressure of the atmosphere at various altitudes.
| altitude (m) | atmos. pressure (atm) | altitude (m) | atmos. pressure (atm) |
|---|---|---|---|
| 2750 | 0.750 | 30,901 | 0.010 |
| 5486 | 0.500 | 48,467 | 0.001 |
| 8376 | 0.333 |
a.
The goal is to see the relationship between heating - time and final temperature of oil. A scatter - plot is ideal as it shows the relationship between two continuous variables (time and temperature).
b.
We are looking at the frequency of students in different height - ranges. A bar graph is better as it displays the frequency of data in different categories (height ranges).
c.
We want to compare the average weights of different species of salmon. A bar graph is suitable for comparing values across different categories (salmon species).
d.
The relationship between altitude and atmospheric pressure needs to be shown. A scatter - plot is appropriate as both altitude and pressure are continuous variables.
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a. Scatter plot. Justification: To show the relationship between time heated and final temperature (both continuous variables).
b. Bar graph. Justification: To display the frequency of students in different height - range categories.
c. Bar graph. Justification: To compare average weights across different salmon - species categories.
d. Scatter plot. Justification: To show the relationship between altitude and atmospheric pressure (both continuous variables).