Question

an animal shelter keeps information on the number of dogs they host per month. the frequency table shows the number of dogs hosted last month, where frequency represents the count of days where a given number of dogs were present. which statement below is not true? a the shelter rarely had less than 10 dogs b the shelter had at least 15 dogs over 70% of the time c the shelter had 20 or more dogs 50% of the time d the most frequent number of dogs at the shelter was 15 - 19

Explanation:

Step1: Calculate total days

Total days \(=2 + 6+9 + 7+6=30\)

Step2: Analyze Option A

Days with \(<10\) dogs \( = 2\). Since \(2\) is small compared to \(30\), the shelter rarely had less than \(10\) dogs.

Step3: Analyze Option B

Days with at least \(15\) dogs \(=9 + 7+6=22\). Percentage \(=\frac{22}{30}\approx73.3\%>70\%\)

Step4: Analyze Option C

Days with \(20\) or more dogs \(=7 + 6=13\). Percentage \(=\frac{13}{30}\approx43.3\%
eq50\%\)

Step5: Analyze Option D

Highest frequency is \(9\) (for \(15 - 19\) dogs)

Answer:

C. The shelter had 20 or more dogs 50% of the time