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 |
Part (a)
Step1: Identify data type
The data has two continuous variables: Time Heated (min) and Final Temp. of Oil (°C). We want to see the relationship between time and temperature.
Step2: Choose graph type
Scatter plots are used to show the relationship between two continuous variables. Bar graphs are for categorical vs. numerical or categorical vs. categorical. So scatter plot is appropriate.
Step1: Identify data type
The data has a categorical variable (Height Range) and a numerical variable (Number of Students). We want to show the frequency of each height range.
Step2: Choose graph type
Bar graphs are ideal for comparing frequencies of categorical groups. Scatter plots are for continuous - continuous relationships. So bar graph is appropriate.
Step1: Identify data type
The data has a categorical variable (Salmon Species) and a numerical variable (Average Weight). We want to compare the average weights of different species.
Step2: Choose graph type
Bar graphs are used to compare numerical values across different categories. Scatter plots are not suitable here as one variable is categorical. So bar graph is appropriate.
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Scatter plot. Justification: To show the relationship between two continuous variables (time heated and final temperature), a scatter plot is best as it displays individual data points to reveal trends/correlations.