Compare the numbers of 7- to 9-year-old dogs and 1- to 3-year-old dogs on the given histogram.
No, see solution.
Practice makes perfect
We are told that an employee at an animal shelter created a histogram. A visitor concluded that the number of 7- to 9-year-old dogs is triple the number of 1- to 3-year-old dogs. We want to determine if this conclusion is correct. First, let's consider the given histogram.
Let's find the numbers of dogs from both age groups.
1-3years:& 2
7-9years:& 4
Now we want to determine if there are 3 times more 7- to 9-year-old dogs than 1- to 3-year-old dogs. Let's divide the number of 7- to 9-year-old dogs by the number of 1- to 3-year-old dogs and see if we get 3 as result!
4/2=2
Our quotient does not equal 3, so the conclusion made by the visitor is not accurate.
Extra
Additional Information
Notice that the scale of the histogram is not consistent for all the bar heights. Consider the given histogram once again, but this time let's omit the scale on the Frequency axis.
When we look at the graph without the scale, it des indeed look like there are 3 times more 7- to 9-year-old dogs than 1- to 3-year-old dogs. This might be the reason why the visitor made their mistake. Therefore, this example shows us why it is important to consider the whole graph carefully before making any assumptions.
