High School

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For each of the following examples, identify the independent and dependent variables and list three constant variables that could apply to the experiment. Finally, indicate if the data should be represented with a bar graph or line graph and explain why.

1. Dory and Nemo were counting the number of clown fish that lived in different colored sea anemones. They counted the fish once every week for three weeks.
- Independent Variable: Color of the sea anemone
- Dependent Variable: Number of clown fish
- Constant Variables:
1. Time of day when counting
2. Species of sea anemone
3. Size of sea anemone
- Data Representation: Bar graph (because it compares different groups - colored sea anemones)

Data:
- Orange: 17, 20, and 23 fish
- Purple: 18, 21, and 24 fish
- White: 23, 26, and 30 fish

2. Bruno Mars wondered if the day of the week impacted how many fans attended his concerts. He performed his concert on Tuesday, Friday, and Saturday in Chicago.
- Independent Variable: Day of the week
- Dependent Variable: Number of fans
- Constant Variables:
1. Location of the concert (Chicago)
2. Duration of the concert
3. Type of event (concert)
- Data Representation: Bar graph (because it compares different days)

Data:
- Tuesday: 28,117 fans
- Friday: 32,586 fans
- Saturday: 31,794 fans

3. Neville (ahem - Professor Longbottom) grew mandrakes in the Hogwarts greenhouses at various temperatures. The height of each plant was measured after one month of growth. (Professor Longbottom later repeated this experiment 3 times during the school year.)
- Independent Variable: Temperature
- Dependent Variable: Height of mandrakes
- Constant Variables:
1. Type of plant (mandrakes)
2. Duration of growth (one month)
3. Greenhouse environment
- Data Representation: Line graph (because it shows changes over continuous data - temperature)

Data:
- 4°C: 4 cm
- 8°C: 10 cm
- 12°C: 14 cm
- 16°C: 18 cm
- 20°C: 24 cm
- 24°C: 12 cm

Answer :

Clown Fish and Sea Anemones:

1.Independent Variable: Different colored sea anemones (Orange, Purple, White).

Dependent Variable: Number of clown fish.

Constant Variables: Time of measurement (once every week), observers (Dory and Nemo), tank conditions.

Data Representation: Bar graph, as it compares discrete categories (colors) with their respective quantities (number of clown fish).

Bruno Mars Concert Attendance:

2.Independent Variable: Day of the week (Tuesday, Friday, Saturday).

Dependent Variable: Number of fans attending the concert.

Constant Variables: Location (Chicago), time of the concert, Bruno Mars performing.

Data Representation: Bar graph, as it compares discrete days of the week with attendance numbers.

Mandrake Growth at Different Temperatures:

3.Independent Variable: Temperature (4 C, 8 C, 12 C, 16 C, 20 C, 24 C).

Dependent Variable: Height of mandrake plants (cm).

Constant Variables: Plant species, growth duration (one month), soil type.

Data Representation: Line graph, as it shows the relationship between a continuous variable (temperature) and plant height.

Clown Fish and Sea Anemones:

1.Independent Variable: Different colored sea anemones (Orange, Purple, White).

Dependent Variable: Number of clown fish.

Constant Variables:

a. Time of measurement (once every week).

b. The observers (Dory and Nemo).

c. The location of the sea anemones (assuming they were in the same tank).

Data Representation: Bar graph because you're comparing discrete categories (colors) with their respective quantities (number of clown fish).

Bruno Mars Concert Attendance:

2.Independent Variable: Day of the week (Tuesday, Friday, Saturday).

Dependent Variable: Number of fans attending the concert.

Constant Variables:

a. Location (Chicago).

b. Time of the concert (assuming it was consistent across all days).

c. Bruno Mars performing (assuming no other major factors changed).

Data Representation: Bar graph because you're comparing discrete days of the week with attendance numbers, and it's not a continuous variable.

Mandrake Growth at Different Temperatures:

3.Independent Variable: Temperature (4 C, 8 C, 12 C, 16 C, 20 C, 24 C).

Dependent Variable: Height of the mandrake plants (measured in cm).

Constant Variables:

a. Type of mandrake plant (assuming they were all the same species).

b. Duration of growth (one month).

c. Soil type and quality (assuming it was consistent).

Data Representation: Line graph because you're showing the relationship between temperature (a continuous variable) and plant height. A line graph is appropriate when you want to display continuous data points across a range of values, such as temperature and plant height.

For such a more question on Anemones

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