Interpreting Data, Charts, and Graphs Flashcards

A student is reading a graph and asks, 'What does the y-axis represent?' In most standard graphs, the y-axis represents:

Answer: The vertical axis showing measured quantities or values

The y-axis is the vertical axis, typically displaying the measured quantity (e.g., number of students, temperature, dollars) on a bar or line graph.

A line graph shows a student's reading speed (words per minute) over 6 weeks of practice: 80, 85, 90, 88, 95, 100. What can be concluded?

Answer: The student's reading speed generally increased with a slight dip in week 4

The overall trend is upward (80 to 100), though there was a slight decrease in week 4 (from 90 to 88) before continuing upward. The general trend is improvement.

A student is asked to find the mean of the following data set: 10, 15, 20, 25, 30. What is the mean?

Answer: 20

Mean = sum ÷ count = (10+15+20+25+30) ÷ 5 = 100 ÷ 5 = 20.

A pie chart shows a class's favorite colors. Red = 40%, Blue = 30%, Green = 20%, Yellow = 10%. If there are 40 students in the class, how many prefer Blue?

Answer: 12

30% of 40 students = 0.30 × 40 = 12 students prefer Blue.

A paraprofessional presents a scatter plot to a student. The dots form a pattern where as x increases, y also increases. What type of correlation does this show?

Answer: Positive correlation

When both variables increase together, the scatter plot shows a positive correlation — the dots trend upward from left to right.

A paraprofessional is helping a student compare two different graphs showing the same data but with different y-axis scales. What should the paraprofessional caution the student about?

Answer: Graphs with different scales can make the same data appear very different — always check the axis scale before interpreting

Changing the y-axis scale can make small differences appear large or large differences appear small — a common way graphs mislead readers. Always examine axis scales carefully.