Investigation 5: Creating Graphs Practice — Grade 7 math

Investigation 5: Creating Graphs — Practice Questions

1. In a monthly budget, transportation costs account for 20% of the total. What is the central angle for the 'Transportation' sector in a circle graph of this budget? ___°
2. A survey of 300 students found that 150 prefer summer vacation. If this data were shown on a circle graph, what would be the central angle for the 'Summer' sector?
- A. $50^{\circ}$
- B. $90^{\circ}$
- C. $150^{\circ}$
- D. $180^{\circ}$
3. On a circle graph representing favorite school subjects, the 'Math' sector has a central angle of $90^{\circ}$. What percentage of students chose math as their favorite subject? ___%
4. If a music library contains 40% pop songs, what is the central angle of the 'Pop' sector in a circle graph representing the library's genres?
- A. $40^{\circ}$
- B. $90^{\circ}$
- C. $144^{\circ}$
- D. $160^{\circ}$
5. A team sold 600 dollars worth of cookies for a fundraiser. Of that, 180 dollars came from chocolate chip cookies. What is the central angle for this category on a circle graph?
- A. $30^{\circ}$
- B. $60^{\circ}$
- C. $108^{\circ}$
- D. $180^{\circ}$
6. A researcher is graphing the number of pets owned by classmates (e.g., cats, dogs, birds). Which type of graph should be used and why?
- A. A histogram, because the data is numerical.
- B. A bar chart, because the data represents separate categories.
- C. A histogram, because there are no gaps between the bars.
- D. A bar chart, because pet ownership is continuous.
7. A histogram shows the daily sales at a bookstore. The intervals are: 0-19 books (8 days), 20-39 books (14 days), 40-59 books (10 days), and 60-79 books (5 days). On how many days were fewer than 40 books sold? ___
8. A histogram shows points scored by a basketball team. The data is: 60-69 points (5 games), 70-79 points (12 games), 80-89 points (10 games), and 90-99 points (3 games). Which interval would have the shortest bar?
- A. 60-69
- B. 70-79
- C. 80-89
- D. 90-99
9. The scores on a science quiz were: 81, 95, 78, 88, 92, 85, 99, 76. If this data is used to make a histogram with an interval for scores from 80-89, what would be the frequency for that interval? ___
10. The primary visual difference between a histogram and a standard bar chart is that a histogram's bars are adjacent with no gaps. What does this feature signify?
- A. The data is grouped into continuous, sequential intervals.
- B. The data has no mode or most frequent value.
- C. Each bar represents an identical value.
- D. The data was collected over a long period of time.