Answer:
The median number of puppies is 7.
Step-by-step explanation:
We are given the data points that represent the number of puppies in each litter at Port's Pup Rescue.
Arranging the given data in ascending order we get;
2, 2, 6, 7, 9, 11, 14
Now, for calculating median we have to first observe that the number of observations (n) in our data is even or odd, that is;
- If n is odd, then the formula for calculating median is given by;
Median = [tex](\frac{n+1}{2} )^{th} \text { obs.}[/tex]
- If n is even, then the formula for calculating median is given by;
Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in our data is odd, i.e; n = 7.
SO, Median = [tex](\frac{n+1}{2} )^{th} \text { obs.}[/tex]
= [tex](\frac{7+1}{2} )^{th} \text { obs.}[/tex]
= [tex](\frac{8}{2} )^{th} \text { obs.}[/tex]
= [tex](4 )^{th} \text { obs.}[/tex]
Now, the 4th observation in our data is 7, so the median number of puppies is 7.
