Interpreting Data, Charts, and Graphs Flashcards

A scatter plot shows student test scores on the x-axis and hours studied on the y-axis. The data points form a pattern going from lower-left to upper-right. What does this indicate?

Answer: A positive correlation between studying and scores

Data points moving from lower-left to upper-right indicate a positive correlation, meaning as one variable increases, the other tends to increase as well.

A pie chart shows how a school spends its budget: 40% salaries, 25% supplies, 20% maintenance, 15% technology. Which two categories together account for more than half the budget?

Answer: Salaries and supplies

Salaries (40%) plus supplies (25%) equals 65%, which is more than half the budget.

A table shows rainfall in inches: January=2.1, February=1.8, March=3.4, April=4.2, May=3.9. What is the range of rainfall across these five months?

Answer: 2.4 inches

The range is the highest value minus the lowest value: 4.2 − 1.8 = 2.4 inches.

A double bar graph compares boys' and girls' participation in after-school clubs across four grades. In Grade 7, the boys' bar reaches 30 and the girls' bar reaches 45. What fraction of Grade 7 participants are boys?

Answer: 2/5

Boys make up 30 out of 30+45=75 total participants: 30/75 = 2/5.

A line graph tracks a school's library book checkouts over 6 months. The line rises steeply between October and November, then levels off through January. What can you conclude?

Answer: The largest increase in checkouts happened between October and November

A steep rise between two points on a line graph indicates the greatest rate of increase occurred during that period.

A frequency table shows quiz scores for 20 students: Score 70–79 appears 4 times, 80–89 appears 9 times, 90–99 appears 7 times. What percentage of students scored in the 80–89 range?

Answer: 45%

9 out of 20 students scored in the 80–89 range: 9/20 = 0.45 = 45%.

A histogram displays the distribution of ages of students in an after-school program. The tallest bar is in the 10–11 age group. What does this tell you?

Answer: More students in the program are ages 10–11 than any other age group

In a histogram, the tallest bar represents the most frequent category, so the 10–11 age group has the highest count.

A pictograph shows each symbol equals 10 students. The row for Monday shows 3.5 symbols. How many students does Monday represent?

Answer: 35 students

3.5 symbols × 10 students per symbol = 35 students.

A stacked bar chart shows total books read per class. Class A's bar is divided into Fiction (60%) and Nonfiction (40%), and the total bar height is 50 books. How many nonfiction books did Class A read?

Answer: 20 books

40% of 50 books = 0.40 × 50 = 20 nonfiction books.

The mean of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?

Answer: 14

The total sum must be 14 × 5 = 70; the four known numbers sum to 56, so the fifth is 70 − 56 = 14.

A line graph shows temperature readings at 6 a.m., 9 a.m., 12 p.m., 3 p.m., and 6 p.m. The line dips between 3 p.m. and 6 p.m. What does this dip represent?

Answer: Temperature decreased between 3 p.m. and 6 p.m.

A downward dip on a line graph shows the value decreased during that time interval.

A bar graph compares the number of students absent each day of the week. Wednesday's bar is the shortest. Which statement is best supported by the graph?

Answer: Wednesday had the lowest number of absences

The shortest bar in a bar graph represents the smallest value, so Wednesday had the fewest absences.

A data set shows the following values: 5, 7, 7, 9, 11, 13, 13, 13, 15. What is the mode of this data set?

Answer: 13

The mode is the value that appears most often; 13 appears three times, more than any other value.

A two-way table shows 200 survey responses about students' favorite subject and grade level. The cell for '8th grade / Math' shows 35. The total for 8th graders is 100. What percentage of 8th graders chose Math?

Answer: 35%

35 out of 100 eighth graders chose Math: 35/100 = 35%.