A dot plot is a statistical chart that displays the frequency of data values using dots stacked above a number line. Each dot represents one observation, making it easy to see clusters, gaps, and the overall shape of a distribution for small to medium datasets.
Like a line plot, but dots instead of X's. Each dot is one data point stacked above its value. The height of the stack shows frequency. Great for seeing clusters and gaps.
Showing a random 20 of 50 problems.
Example 1
medium
A dot plot of 8 values has min 2 and max 14. The middle dots cluster near 6. Estimate whether the range or the cluster spread is larger, and give the range.
Example 2
medium
A dot plot shows minutes: 5 (two dots), 6 (three dots), 7 (one dot), 8 (two dots). What is the mean?Find the mean of the data shown.
Example 3
hard
A dot plot has 30 observations, all integers from 1 to 7. The mean is 4. If 25 of the values are between 3 and 5, what shape word best describes the distribution?
Example 4
easy
A dot plot of goals: 0 (four dots), 1 (three dots), 2 (one dot). How many players scored fewer than 2 goals?How many players scored fewer than 2 goals?
Example 5
easy
A dot plot of pushups: 10 (one dot), 15 (two dots), 20 (one dot). What is the range?Find the range of pushups.
Example 6
easy
A dot plot stacks dots above values: 3 has two dots, 4 has five dots, 5 has one dot. How many observations are at value 4?How many observations are at value 4?
Example 7
easy
A dot plot shows: 2 (one), 4 (one), 6 (one). What is the median?
Example 8
hard
A symmetric dot plot has mean 5 and SD 1.5. About what fraction of dots lie within one SD of the mean (assume bell-shaped)?
Example 9
challenge
A dot plot of 7 values has mean 6 and median 5. Adding one new dot at value 14 changes both. Compute the new mean and new median.
Example 10
easy
On a dot plot, a single isolated dot far from a cluster is best called what?
Example 11
easy
A dot plot shows test scores: 80 (one), 85 (three), 90 (two), 95 (one). What is the mode?
Example 12
easy
The number of books students read last month: 0, 1, 2, 1, 3, 2, 1, 0, 2, 1, 4, 2. Create a dot plot and identify the mode.
Example 13
easy
A dot plot shows: 2 (one dot), 3 (three dots), 4 (two dots). Find the total observations.Find the total number of observations.
Example 14
medium
A dot plot shows ages of participants in a fun run: 20(3 dots), 25(5 dots), 30(8 dots), 35(6 dots), 40(4 dots), 45(2 dots), 50(1 dot). Describe the shape of the distribution and estimate the median age.
Example 15
hard
A dot plot shows the number of absences for 20 students: 0(6), 1(5), 2(4), 3(2), 4(1), 8(1), 10(1). Calculate the mean, identify any potential outliers, and explain how the outliers affect the mean compared to the median.
Example 16
medium
A dot plot: 3 (two dots), 4 (four dots), 5 (one dot), 6 (three dots). Find the mean.Compute the mean of the data shown.
Example 17
hard
Two dot plots have the same range but plot A is concentrated near the mean while plot B is uniformly spread. Which has larger standard deviation?
Example 18
easy
On a dot plot, what does each dot represent?
Example 19
medium
A dot plot of class ages: 12 (one), 13 (eight), 14 (two), 15 (one). Mean, median, and outlier?Find the mean, median, and identify the outlier.
Example 20
medium
A dot plot of commute times (min): 10 (one), 20 (three), 30 (one), 60 (one). Which better represents a typical commute, the mean or the median, and what is the median?Outlier at 60 min; find the median commute time.