Question

Weights of Puppies (in ounces)4 +3 4+5+9 10 11 12678A second litter of 7 puppies has the same median weight but a greater range. Which could be the weights, in ounces, of the puppies in thesecond litter?Ob5,5,7,7,7,7, 105,5,6,7,7,7, 115,5,6,6,7,7, 115,5,6,6,7,7,10Od

Answer 1

Firstly, let us find the range of the first litter of puppies:

The lowest weight is 4 and the highest weight is 9.

Therefore, the range is

`\begin{gathered} 9-4 \\ =5 \end{gathered}`

The question says that the 2nd litter has the same median weight as the 1st.

The range of the 1st litter is 7

Comparing with the options, only Options A and B have a median of 7.

The question further says that the second litter has a range greater than the 1st, which is 5.

Comparing options A and B,

Range of option A

`\begin{gathered} 10-5 \\ =5 \end{gathered}`

Range of option B

`\begin{gathered} 11-5 \\ =6 \end{gathered}`

Option B has a greater range. OPTION B is correct.