1) the class was asked what their favorite ice cream flavor was at the beginning of the year. here is our…
1) the class was asked what their favorite ice cream flavor was at the beginning of the year. here is our class data in a frequency table. in the space to the right, create a bar graph.\n| ice cream flavor | frequency |\n| ---- | ---- |\n| chocolate | 8 |\n| vanilla | 8 |\n| strawberry | 1 |\n| mint chocolate chip | 4 |\n\n2) the class was asked what superpower they wish they could have. here is our class data in a frequency table. complete the table by adding in the relative frequency and the arc measure (rounded to the nearest whole number) in the pie graph. then, create your pie graph using the circle provided.\n| power choice | frequency | relative frequency | percent of 360° |\n| ---- | ---- | ---- | ---- |\n| flying | 4 | | |\n| telepathy | 3 | | |\n| x - ray vision | 3 | | |\n| psychokinesis | 1 | | |\n| time travel | 5 | | |\n| invisibility | 1 | | |\n| superhuman strength | 4 | | |
Answer
Explanation:
Step1: Calculate total frequency for super - power data
First, find the sum of all frequencies for super - power choices. $4 + 3+3 + 1+5 + 1+4=21$.
Step2: Calculate relative frequency
Relative frequency of an option is the frequency of that option divided by the total frequency. For Flying: $\frac{4}{21}\approx0.1905$; for Telepathy: $\frac{3}{21}\approx0.1429$; for X - Ray Vision: $\frac{3}{21}\approx0.1429$; for Psychokinesis: $\frac{1}{21}\approx0.0476$; for Time Travel: $\frac{5}{21}\approx0.2381$; for Invisibility: $\frac{1}{21}\approx0.0476$; for Superhuman Strength: $\frac{4}{21}\approx0.1905$.
Step3: Calculate arc measure
Arc measure of an option in a pie - graph is the relative frequency times $360^{\circ}$. For Flying: $0.1905\times360^{\circ}\approx69^{\circ}$; for Telepathy: $0.1429\times360^{\circ}\approx51^{\circ}$; for X - Ray Vision: $0.1429\times360^{\circ}\approx51^{\circ}$; for Psychokinesis: $0.0476\times360^{\circ}\approx17^{\circ}$; for Time Travel: $0.2381\times360^{\circ}\approx86^{\circ}$; for Invisibility: $0.0476\times360^{\circ}\approx17^{\circ}$; for Superhuman Strength: $0.1905\times360^{\circ}\approx69^{\circ}$.
| Power Choice | Frequency | Relative Frequency | Percent of $360^{\circ}$ |
|---|---|---|---|
| Flying | 4 | $\frac{4}{21}\approx0.1905$ | $69^{\circ}$ |
| Telepathy | 3 | $\frac{3}{21}\approx0.1429$ | $51^{\circ}$ |
| X - Ray Vision | 3 | $\frac{3}{21}\approx0.1429$ | $51^{\circ}$ |
| Psychokinesis | 1 | $\frac{1}{21}\approx0.0476$ | $17^{\circ}$ |
| Time Travel | 5 | $\frac{5}{21}\approx0.2381$ | $86^{\circ}$ |
| Invisibility | 1 | $\frac{1}{21}\approx0.0476$ | $17^{\circ}$ |
| Superhuman Strength | 4 | $\frac{4}{21}\approx0.1905$ | $69^{\circ}$ |
To create the bar - graph for ice - cream flavors:
- On the x - axis, label the ice - cream flavors: Chocolate, Vanilla, Strawberry, Mint Chocolate Chip.
- On the y - axis, label the frequency.
- For Chocolate, draw a bar up to 8 on the y - axis.
- For Vanilla, draw a bar up to 8 on the y - axis.
- For Strawberry, draw a bar up to 1 on the y - axis.
- For Mint Chocolate Chip, draw a bar up to 4 on the y - axis.
To create the pie - graph for super - powers:
- Use a protractor to measure out the arc measures for each super - power option in the provided circle.
- Label each sector with the corresponding super - power name.
Answer:
The completed table for super - power data is shown above. The bar - graph for ice - cream flavors has bars of heights 8, 8, 1, and 4 for Chocolate, Vanilla, Strawberry, and Mint Chocolate Chip respectively. The pie - graph for super - powers has sectors with arc measures approximately $69^{\circ}$, $51^{\circ}$, $51^{\circ}$, $17^{\circ}$, $86^{\circ}$, $17^{\circ}$, $69^{\circ}$ for Flying, Telepathy, X - Ray Vision, Psychokinesis, Time Travel, Invisibility, Superhuman Strength respectively.