A line graph is a chart that uses points connected by straight line segments to show how a quantity changes over time or across a continuous variable. The horizontal axis typically represents time, and the vertical axis represents the measured value.
Line graphs are like following a hiking trail on a map - they show the journey of a number over time. Going up means increasing, going down means decreasing. The steeper the line, the faster the change.
Showing a random 20 of 50 problems.
Example 1
medium
A line graph plots monthly temperature (\degree C): 5,8,14,19,22,24. What is the mean monthly temperature?
Example 2
medium
A line graph shows a runner's speed (m/s) every 5 s: 0,2,4,6,8. What is the speed change per second?
Example 3
medium
A shop recorded weekly sales (in units) over 6 weeks: 40, 55, 50, 65, 60, 75. From the line graph of this data, identify (a) the overall trend and (b) the week with the largest increase in sales.
Example 4
challenge
A line graph shows a balance: $1000 at month 0, growing 5% per month. What is the balance at month 3 (rounded to nearest dollar)?
Example 5
easy
A line graph shows website visits: Mon 50, Tue 80, Wed 80, Thu 110. On how many days did visits increase from the previous day?On how many days did visits increase from the previous day?
Example 6
medium
A city recorded the average monthly rainfall (in mm) from January to June: 30, 25, 40, 55, 70, 85. Between which two consecutive months did rainfall increase the most?
Example 7
medium
A line graph of stock price peaks at 80inMarchandbottomsat50 in June. What is the percent decrease from peak to bottom?What is the percent decrease from peak to bottom?
Example 8
hard
A line graph shows temperatures: 10,12,15,13,14. What is the median? What is the mean (to one decimal)?
Example 9
medium
Why are line graphs better than bar graphs for showing trends over time?
Example 10
hard
A line graph plots a population (thousands): 10 in year 0, doubling every 5 years. What is the value at year 20?
Example 11
easy
On a line graph, sales were 20 units in Week 1 and 20 units in Week 2. Is the line segment rising, falling, or flat?Is the segment rising, falling, or flat?
Example 12
easy
A line graph plots distance every hour: 0, 5, 10, 15 km. By how much does the distance increase each hour?By how much does the distance increase each hour?
Example 13
challenge
Two cities' temperatures are on one line graph. City X: 5, 8, 11, 14 deg over four days (slope steady). City Y starts at 20 deg and falls 2 deg per day. On which day do they first read the same temperature?
Example 14
easy
Which data is best shown by a line graph: (A) favorite fruit of 30 students, (B) a city's population each year from 2000 to 2010?
Example 15
medium
Two line graphs are drawn on the same axes. Line A is at 30 in Week 1 and 60 in Week 4. Line B is at 50 in Week 1 and 50 in Week 4. In which week do the two lines cross if A rises steadily and B is flat?
Example 16
easy
A line graph shows a plant's height: Day 1 = 4 cm, Day 2 = 7 cm. How much did it grow from Day 1 to Day 2?How much did the plant grow from Day 1 to Day 2?
Example 17
hard
A line graph shows stock value: $50 in Jan, peaks at $80 in April, drops to $40 in Sept. What is the percent change from peak to Sept?
Example 18
hard
A line graph's y-axis is broken (starts at 90 instead of 0) and shows values 92,94,96,98. What kind of misleading impression does the broken axis give?
Example 19
easy
To track a baby's growth in inches over 12 months, would you use a line graph or a pie chart?
Example 20
medium
A line graph shows quarterly revenue ($1000s): Q1 40, Q2 50, Q3 45, Q4 65. Which quarter-to-quarter change was the largest in size?Which quarter-to-quarter change was the largest in size?