Question

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The following data points represent the number of puppies in each litter at Port's Pup Rescue.
Sort the data from least to greatest.
Find the median number of puppies.

Answer 1

The median number of puppies is 7.

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 =
`((n+1)/(2) )^(th) \text { obs.}`

• If n is even, then the formula for calculating median is given by;

Median =
`\frac{((n)/(2))^(th) \text{ obs.} +((n)/(2)+1)^(th) \text{ obs.} }{2}`

Here, the number of observations in our data is odd, i.e; n = 7.

SO, Median =
`((n+1)/(2) )^(th) \text { obs.}`

=
`((7+1)/(2) )^(th) \text { obs.}`

=
`((8)/(2) )^(th) \text { obs.}`

=
`(4 )^(th) \text { obs.}`

Now, the 4th observation in our data is 7, so the median number of puppies is 7.