Interpreting Histograms


Activity #1

Interpreting Histograms.

  • Read the statistical information below and answer the questions.

Here are some statistical data and questions about the population of the fifty states and DC. Study them and determine how difficult would it be to answer the questions using the dot plot.

Every ten years, the United States conducts a census, which is an effort to count the entire population. The dot plot shows the population data from the 2010 census for each of the fifty states and the District of Columbia (DC).

  • Rate each question with an E (easy to answer), H (hard to answer), or I (impossible to answer). Explain your reasoning.

Here below are the population data for all states and the District of Columbia from the 2010 census.

  • Use the information to complete the table.

  • Use the information above to complete the following table.

  • Use the grid and the information in your table to create a histogram on the app below. The red dots are the bar handles.

Activity #2

Interpreting Histograms.

Here is a histogram that shows the weight of some dogs in pounds.

  • Use the histogram below to answer the following questions.

Each bar includes the left-end value but not the right-end value. For example, the first bar includes dogs that weigh 60 pounds and 68 pounds but not 80 pounds.

(1.) How many dogs weigh at least 100 pounds?

(2.) How many dogs weigh at least 70 pounds?

(3.) How many dogs weigh at least 120 pounds and less than 160 pounds?

(4.) How much does the heaviest dog at the show weigh?

(5.) What would you consider a typical weight for a dog at this dog show? Explain your reasoning.

(6.) If you used the dot plot to answer the same five questions you just answered, how would your answers be different?

(7.) How are the histogram and the dot plot alike? How are they different?

Activity #3

Construct a Histogram.

  • To construct a Histogram, enter information into the GREEN boxes only. The yellow boxes will automatically update. ​
  • To delete a value, replace it with a “?” – don’t press Delete, else the entire Histogram will disappear!

Challenge #1

Match histograms A through E to dot plots 1 through 5 so that each match represents the same data set.

Challenge #2

This table shows the times, in minutes, it took 40 sixth-grade students to run 1 mile. Draw a histogram for the information in the table.

Challenge #3

Here is a histogram that summarizes the lengths, in feet, of a group of adult female sharks.

Quiz Time